CN107678284A - The robust compensation control method and high-speed aircraft of high-speed aircraft - Google Patents
The robust compensation control method and high-speed aircraft of high-speed aircraft Download PDFInfo
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Abstract
本发明提供了一种高速飞行器的鲁棒补偿控制方法及高速飞行器,涉高速飞行器控制技术领域,包括:获取检测的高速飞行器的飞行参数;将所述飞行参数输入至鲁棒控制器,所述鲁棒控制器包括:用于标称系统的期望跟踪性能的最优控制器和用于抑制等效扰动对闭环控制系统影响的鲁棒补偿器;将所述最优控制器和所述鲁棒补偿器导入到预设的高速飞行器纵向模型中,得到目标控制量;按照所述目标控制量控制高速飞行器。本发明提供的一种高速飞行器的鲁棒补偿控制方法及高速飞行器,利用实现标称系统的期望跟踪性能的最优控制器和用于抑制等效扰动对闭环控制系统影响的鲁棒补偿器对高速飞行器进行控制,可以提高高速飞行器的跟踪性能。
The invention provides a robust compensation control method for a high-speed aircraft and the high-speed aircraft, which relate to the technical field of high-speed aircraft control, including: acquiring the detected flight parameters of the high-speed aircraft; inputting the flight parameters into a robust controller, and The robust controller includes: an optimal controller for the expected tracking performance of the nominal system and a robust compensator for suppressing the influence of the equivalent disturbance on the closed-loop control system; the optimal controller and the robust The compensator is imported into the preset longitudinal model of the high-speed aircraft to obtain the target control amount; the high-speed aircraft is controlled according to the target control amount. The invention provides a robust compensation control method for a high-speed aircraft and the high-speed aircraft, using an optimal controller to realize the expected tracking performance of the nominal system and a robust compensator for suppressing the impact of equivalent disturbances on the closed-loop control system. The high-speed aircraft is controlled to improve the tracking performance of the high-speed aircraft.
Description
技术领域technical field
本发明涉及高速飞行器控制技术领域,尤其是涉及一种高速飞行器的鲁棒补偿控制方法及高速飞行器。The invention relates to the technical field of high-speed aircraft control, in particular to a robust compensation control method for high-speed aircraft and the high-speed aircraft.
背景技术Background technique
高速飞行器是有效接近临近空间和实现即时全球打击的关键平台。由于高速飞行器动力学涉及控制模型的复杂性、参数不确定性、强耦合性、未建模性、非线性以及及外部大气扰动等多重因素,导致高速飞行器控制器的设计变得极为复杂。High-speed aircraft are critical platforms for effectively approaching near space and enabling immediate global strike. Because the dynamics of high-speed aircraft involves multiple factors such as the complexity of the control model, parameter uncertainty, strong coupling, non-modelling, nonlinearity, and external atmospheric disturbances, the design of high-speed aircraft controllers becomes extremely complicated.
近年来,国内外学者在设计高速飞行器鲁棒控制器方面做了很多研究,Parker等人基于近似反馈线性化的非线性几何控制技术,实现了高速飞行器高度和速度跟踪控制,Stengel等人设计了基于动态逆的非线性逆鲁棒控制器,但Parker和Stengel等人并未对飞行器对多重不确定性的抗干扰能力做进一步的理论讨论。Wilcox等人实现了飞行器模型在不确定状态的参数和输入矩阵下的指数跟踪控制模型,但是稳定性分析中没有充分考虑非线性、耦合、未建模动态等的影响。Sigthorsson和Lind等人设计了高速飞行器的线性变参数模型,设计了约束不同气动参数影响的鲁棒反馈控制器,分析了参数变化对飞行器动力学的影响,但是在未建模动态和外部干扰等多重不确定性下,闭环控制系统的期望跟踪性能并不能得到充分保证。In recent years, scholars at home and abroad have done a lot of research on the design of robust controllers for high-speed aircraft. Parker et al. realized the height and velocity tracking control of high-speed aircraft based on the nonlinear geometric control technology of approximate feedback linearization. Stengel et al. designed A nonlinear inverse robust controller based on dynamic inverse, but Parker and Stengel did not further discuss the anti-jamming ability of the aircraft to multiple uncertainties. Wilcox et al. realized the exponential tracking control model of the aircraft model under the parameters of the uncertain state and the input matrix, but the influence of nonlinearity, coupling, and unmodeled dynamics were not fully considered in the stability analysis. Sigthorsson and Lind et al. designed a linear variable parameter model of high-speed aircraft, designed a robust feedback controller that constrains the influence of different aerodynamic parameters, and analyzed the impact of parameter changes on aircraft dynamics, but in the unmodeled dynamics and external disturbances, etc. Under multiple uncertainties, the expected tracking performance of the closed-loop control system cannot be fully guaranteed.
综上所述,目前国内外学者设计的高速飞行器控制器并没有完全考虑到多重不确定性对飞行器的影响,导致现有的闭环控制系统的期望跟踪性能得不到充分保证。To sum up, the current high-speed aircraft controllers designed by scholars at home and abroad do not fully consider the impact of multiple uncertainties on the aircraft, resulting in that the expected tracking performance of the existing closed-loop control system cannot be fully guaranteed.
发明内容Contents of the invention
有鉴于此,本发明的目的在于提供一种高速飞行器的鲁棒补偿控制方法及高速飞行器,以缓解现有的高速飞行器控制器未考虑到多重不确定性对飞行器的影响,导致跟踪性能较差的技术问题。In view of this, the purpose of the present invention is to provide a robust compensation control method for high-speed aircraft and high-speed aircraft, to alleviate the existing high-speed aircraft controller does not take into account the impact of multiple uncertainties on the aircraft, resulting in poor tracking performance technical problems.
第一方面,本发明实施例提供了一种高速飞行器的鲁棒补偿控制方法,包括:获取检测的高速飞行器的飞行参数;In a first aspect, an embodiment of the present invention provides a robust compensation control method for a high-speed aircraft, including: acquiring detected flight parameters of the high-speed aircraft;
将所述飞行参数输入至鲁棒控制器,所述鲁棒控制器包括:用于标称系统的期望跟踪性能的最优控制器和用于抑制等效扰动对闭环控制系统影响的鲁棒补偿器;The flight parameters are input to a robust controller comprising: an optimal controller for the desired tracking performance of the nominal system and a robust compensation for suppressing the effect of equivalent disturbances on the closed-loop control system device;
将所述最优控制器和所述鲁棒补偿器导入到预设的高速飞行器纵向模型中,得到目标控制量;Importing the optimal controller and the robust compensator into the preset longitudinal model of the high-speed aircraft to obtain the target control amount;
控制所述高速飞行器按照所述目标控制量飞行。The high-speed aircraft is controlled to fly according to the target control amount.
结合第一方面,本发明实施例提供了第一方面的第一种可能的实施方式,其中,所述飞行参数包括:当前飞行速度、当前飞行高度、航迹角、攻角、俯仰率、转动惯量、气动力系数、升力、推力、阻力和俯仰力矩。In combination with the first aspect, the embodiment of the present invention provides a first possible implementation of the first aspect, wherein the flight parameters include: current flight speed, current flight altitude, flight path angle, attack angle, pitch rate, rotation Inertia, aerodynamic coefficient, lift, thrust, drag and pitching moments.
结合第一方面,本发明实施例提供了第一方面的第二种可能的实施方式,其中,所述目标控制量包括:航迹角、攻角、俯仰率、横滚角速率,以及高度和速度的跟踪误差。With reference to the first aspect, the embodiment of the present invention provides a second possible implementation of the first aspect, wherein the target control quantity includes: track angle, angle of attack, pitch rate, roll rate, and altitude and Velocity tracking error.
结合第一方面,本发明实施例提供了第一方面的第三种可能的实施方式,其中,所述高速飞行器纵向模型为:In combination with the first aspect, the embodiment of the present invention provides a third possible implementation of the first aspect, wherein the longitudinal model of the high-speed aircraft is:
yi=Ciei,i=V,hy i =C i e i ,i=V,h
其中,V为速度,h为高度,rV和rh分别为速度和高度的参考信号;Among them, V is the speed, h is the height, r V and r h are the reference signals of speed and height respectively;
yV=V-rV和yh=h-rh为跟踪误差;y V =Vr V and y h =hr h are tracking errors;
eV=[eVi]3×1,eV1=yV,eV2=β,β为油门设置;e V =[e Vi ] 3×1 , e V1 =y V , e V2 =β, β is throttle setting;
eh=[ehi]4×1,eh1=yh;eh2=γ,γ为航迹角;eh3=α,α为攻角;eh4=p,p为俯仰率;e h =[e hi ] 4×1 , e h1 =y h ; e h2 =γ, γ is track angle; e h3 =α, α is angle of attack; e h4 =p, p is pitch rate;
uV=βc,βc为发动机节流阀控制值;uh=δe,δe为舵偏角;u V = β c , β c is the engine throttle control value; u h = δ e , δ e is the rudder deflection angle;
qV=[qVi]3×1和qh=[qhi]4×1为等效扰动;q V =[q Vi ] 3×1 and q h =[q hi ] 4×1 are equivalent disturbances;
其中,上标N为标称参数,CTβ0、CTβ2和CMe为气动力系数;ρ、S、分别为密度、参考面积和平均气动弦长;ζn、ωn分别为阻尼比和自然角频率;m为飞机质量;Iyy为转动惯量;T为推力;Among them, the superscript N is the nominal parameter, C Tβ0 , C Tβ2 and C Me are aerodynamic coefficients; ρ, S, are density, reference area and average aerodynamic chord length; ζ n and ω n are damping ratio and natural angular frequency respectively; m is aircraft mass; I yy is moment of inertia; T is thrust;
ah1=V0,ah2=T0/mN/V0,V0为初始速度,T0为初始推力;a h1 =V 0 , a h2 =T 0 /m N /V 0 , V 0 is the initial speed, T 0 is the initial thrust;
结合第一方面,本发明实施例提供了第一方面的第四种可能的实施方式,其中,所述鲁棒控制器的控制律为:With reference to the first aspect, the embodiment of the present invention provides a fourth possible implementation manner of the first aspect, wherein the control law of the robust controller is:
其中,ui OP为最优控制器的控制输入;ui RC为鲁棒补偿器的控制输入。Among them, u i OP is the control input of the optimal controller; u i RC is the control input of the robust compensator.
结合第一方面,本发明实施例提供了第一方面的第五种可能的实施方式,其中,所述用于标称系统的期望跟踪性能的最优控制器的控制律为:In combination with the first aspect, the embodiment of the present invention provides a fifth possible implementation manner of the first aspect, wherein the control law of the optimal controller for the expected tracking performance of the nominal system is:
其中,Pi为方程的正定解,Qi为对称正定矩阵。in, P i is the equation The positive definite solution of , Q i is a symmetric positive definite matrix.
结合第一方面,本发明实施例提供了第一方面的第六种可能的实施方式,其中,所述用于抑制等效扰动对闭环控制系统影响的鲁棒补偿器的控制律为:In combination with the first aspect, the embodiment of the present invention provides a sixth possible implementation manner of the first aspect, wherein the control law of the robust compensator for suppressing the influence of the equivalent disturbance on the closed-loop control system is:
其中,Fi(s)(i=V,h)为鲁棒滤波器的函数;Gi(s)(i=V,h)为两个通道中的传递函数;Among them, F i (s) (i=V, h) is the function of the robust filter; G i (s) (i=V, h) is the transfer function in the two channels;
s是拉普拉斯算子; s is the Laplacian operator;
AiH为赫尔维矩阵,AiH=Ai+BiKi(i=V,h)。A iH is a Hervey matrix, A iH =A i +B i K i (i=V,h).
结合第一方面,本发明实施例提供了第一方面的第七种可能的实施方式,其中,所述鲁棒滤波器的函数表达式为:With reference to the first aspect, the embodiment of the present invention provides a seventh possible implementation manner of the first aspect, wherein the functional expression of the robust filter is:
其中,fi(i=V,h)为滤波参数。Wherein, f i (i=V, h) is a filtering parameter.
结合第一方面,本发明实施例提供了第一方面的第八种可能的实施方式,其中,所述两个通道中的传递函数的表达式为:With reference to the first aspect, the embodiment of the present invention provides an eighth possible implementation manner of the first aspect, where the expressions of the transfer functions in the two channels are:
Gi(s)=Ci(sIi-AiH)-1Bi,i=V,hG i (s)=C i (sI i -A iH ) -1 B i ,i=V,h
其中,Ii为单位矩阵。Among them, I i is the identity matrix.
第二方面,本发明实施例还提供一种高速飞行器,包括存储器、处理器,所述存储器中存储有可在所述处理器上运行的计算机程序,所述处理器执行所述计算机程序时实现上述第一方面所述的方法的步骤。In the second aspect, the embodiment of the present invention also provides a high-speed aircraft, including a memory and a processor, the memory stores a computer program that can run on the processor, and the processor implements the computer program when executing the computer program. The steps of the method described in the first aspect above.
本发明实施例带来了以下有益效果:本发明实施例提供一种高速飞行器的鲁棒补偿控制方法及高速飞行器,利用实现标称系统的期望跟踪性能的最优控制器和用于抑制等效扰动对闭环控制系统影响的鲁棒补偿器对高速飞行器进行控制,可以提高高速飞行器的跟踪性能。The embodiment of the present invention brings the following beneficial effects: The embodiment of the present invention provides a robust compensation control method for a high-speed aircraft and a high-speed aircraft, utilizing an optimal controller for realizing the expected tracking performance of the nominal system and for suppressing equivalent The robust compensator for the influence of disturbance on the closed-loop control system can control the high-speed aircraft and improve the tracking performance of the high-speed aircraft.
本发明的其他特征和优点将在随后的说明书中阐述,并且,部分地从说明书中变得显而易见,或者通过实施本发明而了解。本发明的目的和其他优点在说明书、权利要求书以及附图中所特别指出的结构来实现和获得。Additional features and advantages of the invention will be set forth in the description which follows, and in part will be apparent from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and claims hereof as well as the appended drawings.
为使本发明的上述目的、特征和优点能更明显易懂,下文特举较佳实施例,并配合所附附图,作详细说明如下。In order to make the above-mentioned objects, features and advantages of the present invention more comprehensible, preferred embodiments will be described in detail below together with the accompanying drawings.
附图说明Description of drawings
为了更清楚地说明本发明具体实施方式或现有技术中的技术方案,下面将对具体实施方式或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图是本发明的一些实施方式,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the specific implementation of the present invention or the technical solutions in the prior art, the following will briefly introduce the accompanying drawings that need to be used in the specific implementation or description of the prior art. Obviously, the accompanying drawings in the following description The drawings show some implementations of the present invention, and those skilled in the art can obtain other drawings based on these drawings without any creative work.
图1为本发明实施例提供的高速飞行器的鲁棒补偿控制方法的流程图;Fig. 1 is the flow chart of the robust compensation control method of the high-speed aircraft provided by the embodiment of the present invention;
图2为本发明使用的美国NASA兰利研究中心开发的通用高速飞行器纵向模型;Fig. 2 is the general high-speed aircraft longitudinal model developed by the U.S. NASA Langley Research Center that the present invention uses;
图3为本发明实施例的高速飞行器的控制系统结构图;Fig. 3 is the structural diagram of the control system of the high-speed aircraft of the embodiment of the present invention;
图4是本发明实施例情形1下最优控制器的速度和高度响应。Fig. 4 is the speed and altitude response of the optimal controller in case 1 of the embodiment of the present invention.
图5是本发明实施例情形1下鲁棒控制器的速度和高度响应;Fig. 5 is the speed and height response of the robust controller under situation 1 of the embodiment of the present invention;
图6是本发明实施例情形1下高速飞行器的飞行航迹角,攻角和横滚角速率的响应;Fig. 6 is the flight track angle of high-speed aircraft under situation 1 of the embodiment of the present invention, the response of angle of attack and roll angle rate;
图7是本发明实施例情形1下鲁棒控制器的输入;Fig. 7 is the input of the robust controller under situation 1 of the embodiment of the present invention;
图8是本发明实施例情形2下鲁棒控制器速度和高度响应;Fig. 8 is the speed and height response of the robust controller under situation 2 of the embodiment of the present invention;
图9是本发明实施例情形2下高速飞行器的飞行航迹角、攻角和横滚角速率响应;Fig. 9 is the flight track angle, angle of attack and roll angle rate response of the high-speed aircraft under situation 2 of the embodiment of the present invention;
图10是本发明实施例情形2下鲁棒控制器的输入。Fig. 10 is the input of the robust controller in case 2 of the embodiment of the present invention.
图标:icon:
11-最优控制器;12-鲁棒补偿器。11-optimal controller; 12-robust compensator.
具体实施方式detailed description
为使本发明实施例的目的、技术方案和优点更加清楚,下面将结合附图对本发明的技术方案进行清楚、完整地描述,显然,所描述的实施例是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions of the present invention will be clearly and completely described below in conjunction with the accompanying drawings. Obviously, the described embodiments are part of the embodiments of the present invention, not all of them. the embodiment. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.
目前,现有的高速飞行器控制器未考虑到多重不确定性对飞行器的影响,导致跟踪性能较差,基于此,本发明实施例提供的一种高速飞行器的鲁棒补偿控制方法及高速飞行器,可以利用实现标称系统的期望跟踪性能的最优控制器和用于抑制等效扰动对闭环控制系统影响的鲁棒补偿器对高速飞行器进行控制,可以提高高速飞行器的跟踪性能。At present, the existing high-speed aircraft controllers do not take into account the impact of multiple uncertainties on the aircraft, resulting in poor tracking performance. Based on this, the embodiments of the present invention provide a robust compensation control method for high-speed aircraft and high-speed aircraft, The high-speed aircraft can be controlled by using the optimal controller to realize the expected tracking performance of the nominal system and the robust compensator for suppressing the influence of the equivalent disturbance on the closed-loop control system, and the tracking performance of the high-speed aircraft can be improved.
为便于对本实施例进行理解,首先对本发明实施例所公开的一种高速飞行器的鲁棒补偿控制方法进行详细介绍。In order to facilitate the understanding of this embodiment, a robust compensation control method for a high-speed aircraft disclosed in the embodiment of the present invention is first introduced in detail.
在高速飞行器的飞行过程中,由于飞行环境复杂,通常会受到各种干扰因素的影响。为了实现高速飞行器良好的跟踪性能,需要对高速飞行器进行控制。如图1所示,在本发明一个实例中,提供了一种高速飞行器的鲁棒补偿控制方法,包括以下几个步骤。During the flight of high-speed aircraft, due to the complex flight environment, it is usually affected by various interference factors. In order to achieve good tracking performance of high-speed aircraft, it is necessary to control the high-speed aircraft. As shown in FIG. 1 , in an example of the present invention, a robust compensation control method for a high-speed aircraft is provided, including the following steps.
S101,获取检测的高速飞行器的飞行参数。S101. Acquire flight parameters of the detected high-speed aircraft.
具体的,利用高速飞行器中的传感器系统检测飞行参数。所述飞行参数包括:当前飞行速度、当前飞行高度、航迹角、攻角、俯仰率、转动惯量、气动力系数、升力、推力、阻力和俯仰力矩等参数。Specifically, a sensor system in a high-speed aircraft is used to detect flight parameters. The flight parameters include: current flight speed, current flight altitude, track angle, angle of attack, pitch rate, moment of inertia, aerodynamic coefficient, lift, thrust, drag, and pitching moment.
S102,将所述飞行参数输入至鲁棒控制器,所述鲁棒控制器包括:用于标称系统的期望跟踪性能的最优控制器和用于抑制等效扰动对闭环控制系统影响的鲁棒补偿器。S102, input the flight parameters into a robust controller, the robust controller includes: an optimal controller for the expected tracking performance of the nominal system and a robust controller for suppressing the influence of the equivalent disturbance on the closed-loop control system rod compensator.
S103,将所述最优控制器和所述鲁棒补偿器导入到预设的高速飞行器纵向模型中,得到目标控制量。S103, importing the optimal controller and the robust compensator into a preset longitudinal model of the high-speed aircraft to obtain a target control amount.
具体的,将所述最优控制器和所述鲁棒补偿器的控制律代入所述高速飞行器纵向模型的数学函数表达式中,计算得到目标控制量。其中,所述目标控制量包括:航迹角、攻角、俯仰率、横滚角速率,以及高度和速度的跟踪误差等控制量。Specifically, the control laws of the optimal controller and the robust compensator are substituted into the mathematical function expression of the longitudinal model of the high-speed aircraft to calculate the target control amount. Wherein, the target control quantity includes control quantities such as track angle, attack angle, pitch rate, roll rate, and tracking error of altitude and speed.
S104,控制所述高速飞行器按照所述目标控制量飞行。S104. Control the high-speed aircraft to fly according to the target control amount.
本发明实施例提供一种高速飞行器的鲁棒补偿控制方法,利用实现标称系统的期望跟踪性能的最优控制器和用于抑制等效扰动对闭环控制系统影响的鲁棒补偿器对高速飞行器进行控制,可以提高高速飞行器的跟踪性能。An embodiment of the present invention provides a robust compensation control method for a high-speed aircraft, using an optimal controller that realizes the expected tracking performance of the nominal system and a robust compensator for suppressing the impact of equivalent disturbances on the closed-loop control system to control the high-speed aircraft Control can improve the tracking performance of high-speed aircraft.
示例性的,本发明实施例的鲁棒控制器可以通过以下步骤实现:Exemplarily, the robust controller of the embodiment of the present invention can be implemented through the following steps:
1、选取选择NASA兰利研究中心开发的面向纵向控制模型,考虑向心加速度项的通用高速飞行器纵向模型,如图2所示。其高速飞行器纵向动力学模型为:1. Select the longitudinal control-oriented model developed by NASA Langley Research Center, and consider the centripetal acceleration item of the general high-speed aircraft longitudinal model, as shown in Figure 2. The longitudinal dynamics model of the high-speed aircraft is:
其中,V为速度;h为高度;γ为航迹角;α为攻角;p为俯仰率;m为飞机质量;μ为引力常数;Iyy为转动惯量;r=h+re,re为地球半径;di(i=V,h,γ,α,p)为外部大气扰动;L为升力;T为推力;D为阻力;Myy为俯仰力距。Among them, V is velocity; h is altitude; γ is track angle; α is angle of attack; p is pitch rate; m is aircraft mass; μ is gravitational constant; I yy is moment of inertia; e is the radius of the earth; d i (i=V, h, γ, α, p) is the external atmospheric disturbance; L is the lift; T is the thrust; D is the drag; M yy is the pitching moment.
升力L、推力T、阻力D、俯仰力距Myy满足以下方程:Lift L, thrust T, drag D, and pitching moment M yy satisfy the following equations:
其中,ρ,S,分别代表密度,参考面积和平均气动弦长;CL,CT,CD,CMα,CMδe,CMp分别代表升力系数,推力系数和阻力系数和攻角系数,偏航速率系数和俯仰速率系数,这些系数满足以下方程:Among them, ρ, S, Represent density, reference area and average aerodynamic chord; C L , C T , C D , C Mα , C Mδe , C Mp represent lift coefficient, thrust coefficient, drag coefficient and angle of attack coefficient, yaw rate coefficient and pitch rate coefficients, which satisfy the following equations:
其中,β表示发动机节流阀开度,δe是舵偏角;CLα,CTβ0,CTβ1,CTβ2,CDα2,CDα,CD0,CMα2,CMα,Cα0,CMe,CMp2,CMp和Cp0表示气动力系数,Δi=(L,T1,T2,D,Mα,δe,Mp)表示未建模不确定性。 Among them, β represents the engine throttle opening , δ e is the rudder deflection angle ; , C Mp2 , C Mp and C p0 represent the aerodynamic coefficients, and Δi = (L, T1, T2, D, Mα, δe, Mp) represents the unmodeled uncertainty.
假设未建模的不确定性满足以下不等式:Assume that the unmodeled uncertainty satisfies the following inequality:
其中,ξΔLα,ξΔLc,ξΔTβ,ξΔTc,ξΔDα2,ξΔDα1,ξΔMα2,ξΔMα1,ξΔDc,ξΔδeα,ξΔδec,ξΔMp2,ξΔMp1和ξΔMpc是正常数。Among them, ξ ΔLα , ξ ΔLc , ξ ΔTβ , ξ ΔTc , ξ ΔDα2 , ξ ΔDα1 , ξ ΔMα2 , ξ ΔMα1 , ξ ΔDc , ξ Δδeα , ξ Δδec , ξ ΔMp2 , ξ ΔMp1 and ξ ΔMpc are normal constants.
高速飞行器的发动机动力学可以用以下二阶系统建模:The engine dynamics of a high-speed aircraft can be modeled with the following second-order system:
其中,βc是发动机节流阀控制值,dβ是外部扰动,ζn,ωn分别表示阻尼比和自然角频率。Among them, β c is the engine throttle control value, d β is the external disturbance, ζ n , ω n represent the damping ratio and natural angular frequency, respectively.
选取速度V和高度h作为输出,分别用rV和rh表示它们的参考信号。定义跟踪误差为yV=V-rV和yh=h-rh。令eV1=yV,eV2=β,eV=[eVi]3×1,uV=βc,eh1=yh,eh2=γ,eh3=α,eh4=p,uh=δe,eh=[ehi]4×1 The velocity V and height h are selected as output, and their reference signals are denoted by r V and r h respectively. The tracking errors are defined as y V =Vr V and y h =hr h . Let e V1 =y V ,e V2 =β, e V =[e Vi ] 3×1 , u V =β c , e h1 =y h , e h2 =γ, e h3 =α, e h4 =p, u h =δ e , e h =[e hi ] 4×1
其中,上标N为标称参数, Among them, the superscript N is the nominal parameter,
ah1=V0,ah2=T0/mN/V0,V0为初始速度,T0为初始推力;a h1 =V 0 , a h2 =T 0 /m N /V 0 , V 0 is the initial speed, T 0 is the initial thrust;
则在速度和高度通道上高速飞行器纵向模型可以改写为:Then the longitudinal model of the high-speed aircraft on the channel of velocity and altitude can be rewritten as:
其中,qV=[qVi]3×1和qh=[qhi]4×1为等效扰动,具体包括:参数不确定性、非线性和耦合动力学、未建模不确定性和外部大气扰动等因素。以上建立了通用高速飞行器的纵向模型。Among them, q V =[q Vi ] 3×1 and q h =[q hi ] 4×1 are equivalent disturbances, including: parameter uncertainty, nonlinear and coupled dynamics, unmodeled uncertainty and factors such as external atmospheric disturbances. The longitudinal model of the general high-speed aircraft is established above.
2、根据通用高速飞行器的纵向模型设计鲁棒控制器。如图3所示,鲁棒控制器包括:鲁棒补偿器12和最优控制器11。2. Design a robust controller according to the longitudinal model of a general high-speed aircraft. As shown in FIG. 3 , the robust controller includes: a robust compensator 12 and an optimal controller 11 .
控制输入由以下两部分组成:The control input consists of the following two parts:
其中,ui OP为最优控制器11的控制输入;ui RC为鲁棒补偿器12的控制输入。Among them, u i OP is the control input of the optimal controller 11; u i RC is the control input of the robust compensator 12.
首先,考虑下面的控制器性能代价函数:First, consider the following controller performance cost function:
对于标称系统控制器的优化设计可以忽略qi(i=V,h),其中Qi是对称正定矩阵。通过求解下面的Riccati方程:For the optimal design of the nominal system controller, q i (i=V,h) can be ignored, where Q i is a symmetric positive definite matrix. By solving the following Riccati equation:
可以得到正定解Pi。最优控制器11的状态反馈增益可由给出。然后,可以得到标称系统的最优控制器11的控制律如下所示:Positive definite solution P i can be obtained. The state feedback gain of the optimal controller 11 can be given by give. Then, the control law of the optimal controller 11 of the nominal system can be obtained as follows:
此外,考虑了含有等效扰动的实际系统。令AiH=Ai+BiKi(i=V,h)为赫尔维兹矩阵。代入相关公式可得:Furthermore, real systems with equivalent disturbances are considered. Let A iH =A i +B i K i (i=V,h) be a Hulvitz matrix. Substituting into the relevant formula can get:
令Gi(s)(i=V,h)表示两个通道中的传递函数,其函数表达式为Let G i (s)(i=V,h) denote the transfer function in the two channels, and its function expression is
Gi(s)=Ci(sIi-AiH)-1Bi,i=V,hG i (s)=C i (sI i -A iH ) -1 B i ,i=V,h
其中,Ii为单位矩阵。Among them, I i is the identity matrix.
因此,公式(9)中的yi可写为:Therefore, y i in formula (9) can be written as:
构造鲁棒补偿器12的控制律如下:The control law for constructing the robust compensator 12 is as follows:
其中,Fi(s)(i=V,h)为鲁棒滤波器,其表达式为如下:Among them, F i (s) (i=V, h) is a robust filter, and its expression is as follows:
如果鲁棒滤波参数fi(i=V,h)有足够大的值,可以观测到鲁棒滤波器具有足够宽的带宽。在这种情况下,Fi(s)(i=V,h)的增益分别近似为1,从而可以抑制等效干扰的影响。实际上,fi(i=V,h)并不需要足够大,fL存在一个下界,对于任意fi满足fi≥fL,等效干扰的影响可以被限制。If the robust filtering parameter f i (i=V,h) has a sufficiently large value, it can be observed that the robust filter has a sufficiently wide bandwidth. In this case, the gains of F i (s)(i=V,h) are approximately 1, respectively, so that The effects of equivalent disturbances can be suppressed. In fact, f i (i=V, h) does not need to be large enough, f L has a lower bound, and for any f i satisfying f i ≥ f L , the impact of equivalent interference can be limited.
然而,因为qi(s)无法获得,公式(11)中的鲁棒补偿器输入是无法实现的。然后,用公式(8)代替公式(10),可以得到如下的鲁棒补偿器12的控制输入:However, since q i (s) is not available, the robust compensator input in equation (11) is not possible. Then, by replacing formula (10) with formula (8), the control input of the robust compensator 12 can be obtained as follows:
从控制器的设计过程可以看出,得到的控制器是线性时不变的。此外,虽然公式(1)中的飞行器模型是非线性和耦合的,但设计得到的控制器是解耦的,即速度和高度通道具有独立的控制器与自己的状态反馈。It can be seen from the controller design process that the obtained controller is linear time invariant. Furthermore, although the vehicle model in Equation (1) is nonlinear and coupled, the resulting controller is decoupled, i.e., the velocity and altitude channels have independent controllers with their own state feedback.
3、鲁棒控制器鲁棒性能分析,证明控制系统的跟踪误差将在有限时间内收敛到原点附近任意给定邻域内,并将设计的鲁棒最优控制律总结为定理并证明。3. The robust performance analysis of the robust controller proves that the tracking error of the control system will converge to any given neighborhood near the origin within a finite time, and summarizes the designed robust optimal control law into a theorem and proves it.
令xV=[xVi]3×1,xh=[xhi]4×1和 Let x V =[x Vi ] 3×1 , x h =[x hi ] 4×1 and
其中,xV1=eV1, Among them, x V1 =e V1 ,
xh1=eh1, x h1 =e h1 ,
然后用公式(8)代替公式(10)可得:Then use formula (8) instead of formula (10) to get:
假定等效扰动具有以下有界范数:The equivalent perturbation is assumed to have the following bounded norm:
由公式(2)-(5)设计的高速飞行器模型具有强大跟踪性能的的闭环控制系统和公式(7),(8),(12)设计鲁棒最优控制律可以总结为以下定理。The closed-loop control system of the high-speed aircraft model with strong tracking performance designed by formulas (2)-(5) and the robust optimal control law designed by formulas (7), (8), and (12) can be summarized as the following theorems.
定理:对于一个给定的初始状态x(0)和任意给定的常数ε,存在正常数TL和fL,对于任意fi≥fL(i=V,h)使所有状态都是有界的,且速度和高度的跟踪误差满足 Theorem: For a given initial state x(0) and any given constant ε, there are normal constants T L and f L , for any f i ≥ f L (i=V,h) so that all states are Boundary, and the tracking error of velocity and height satisfies
4、仿真通用高速飞行器闭环控制系统的跟踪性能,在参数不确定、非线性和耦合、未建模不确定性及外部大气扰动下,针对高速飞行器的两种情形下的飞行任务,对飞行器非线性模型进行仿真,验证鲁棒控制方法的优越性。4. Simulate the tracking performance of the closed-loop control system of general high-speed aircraft. Under the conditions of parameter uncertainty, nonlinearity and coupling, unmodeled uncertainty and external atmospheric disturbance, for the flight tasks of high-speed aircraft in two situations, the aircraft is very The linear model is simulated to verify the superiority of the robust control method.
情形1:不考虑不确定性,高速飞行器速度从标称速度15060英尺/秒飞到15160英尺/秒,接着又减速至标称值,然后重复执行该任务。Scenario 1: Regardless of the uncertainty, the high-speed aircraft flies from a nominal speed of 15,060 ft/s to 15,160 ft/s, then decelerates to the nominal value, and then repeats the mission.
本发明实施例情形1下最优控制器的速度和高度响应如图4所示。The speed and height responses of the optimal controller in the case 1 of the embodiment of the present invention are shown in FIG. 4 .
本发明实施例情形1下鲁棒补偿器12的速度和高度响应如图5所示,高度参考信号和高度响应完全重合。The velocity and altitude responses of the robust compensator 12 in case 1 of the embodiment of the present invention are shown in FIG. 5 , where the altitude reference signal and the altitude response are completely coincident.
本发明实施例情形1下高速飞行器的飞行航迹角、攻角和横滚角速率的响应如图6所示。The response of the flight path angle, angle of attack and roll angle rate of the high-speed aircraft in case 1 of the embodiment of the present invention is shown in FIG. 6 .
本发明实施例情形1下鲁棒补偿器12和最优控制器11的油门设置输入,以及鲁棒补偿器12和最优控制器11的俯仰角输入如图7所示。The throttle setting input of the robust compensator 12 and the optimal controller 11 and the pitch angle input of the robust compensator 12 and the optimal controller 11 in case 1 of the embodiment of the present invention are shown in FIG. 7 .
情形2:引入参数不确定性和外部扰动,飞行器从名义飞行高度110000英尺爬升到112000英尺然后又回落到110000英尺高,同时,飞行器速度也从15060英尺/秒提高到15160英尺/秒,然后减速至标称速度。Scenario 2: Introducing parameter uncertainty and external disturbances, the aircraft climbs from a nominal flight altitude of 110,000 feet to 112,000 feet and then falls back to 110,000 feet. to nominal speed.
本发明实施例情形2下鲁棒控制器速度和高度响应如图8所示。其中,速度与速度的参考信号完全重合。The speed and height responses of the robust controller in case 2 of the embodiment of the present invention are shown in FIG. 8 . Wherein, the speed and the reference signal of the speed coincide completely.
本发明实施例情形2下高速飞行器的飞行航迹角、攻角和横滚角速率响应如图9所示。Figure 9 shows the flight track angle, attack angle and roll angle rate responses of the high-speed aircraft in the second case of the embodiment of the present invention.
本发明实施例情形2下鲁棒控制器的油门设置输入和俯仰角输入如图10所示。The throttle setting input and the pitch angle input of the robust controller in case 2 of the embodiment of the present invention are shown in FIG. 10 .
本发明实施例提供的一种高速飞行器的鲁棒补偿控制方法,具有以下优点:A robust compensation control method for a high-speed aircraft provided in an embodiment of the present invention has the following advantages:
(1)完整的考虑了高速飞行器模型所涉及的参数不确定性,非线性和耦合动力学,未建模不确定性及外部大气干扰等等效干扰对控制系统的影响,设计的鲁棒控制器使鲁棒性和最优跟踪性能可以在不确定性因素影响下同时实现;(1) Completely consider the parameter uncertainty involved in the high-speed aircraft model, nonlinear and coupled dynamics, the influence of unmodeled uncertainty and external atmospheric disturbance and other equivalent disturbances on the control system, and design robust control The controller enables robustness and optimal tracking performance to be achieved simultaneously under the influence of uncertain factors;
(2)理论分析和仿真共同证明了设计的控制方法的有效性。同时,鲁棒控制器成功实现了通用高速飞行器在两种典型的复杂飞行任务下速度通道和高度通道的良好跟踪性能;(2) Theoretical analysis and simulation together prove the effectiveness of the designed control method. At the same time, the robust controller successfully realizes the good tracking performance of the general high-speed aircraft in the velocity channel and the altitude channel under two typical complex flight missions;
(3)本发明成功解决了当前通用高速飞行器纵向模型在多种不确定性影响下的鲁棒最优控制问题。(3) The present invention successfully solves the problem of robust optimal control of the current general high-speed aircraft longitudinal model under the influence of various uncertainties.
在本发明的又一实施例中,还提供了一种高速飞行器,包括存储器、处理器,所述存储器中存储有可在所述处理器上运行的计算机程序,其特征在于,所述处理器执行所述计算机程序时实现上述高速飞行器的鲁棒补偿控制方法的步骤。In yet another embodiment of the present invention, a high-speed aircraft is also provided, including a memory and a processor, the memory stores a computer program that can run on the processor, and it is characterized in that the processor When the computer program is executed, the steps of the above-mentioned robust compensation control method for high-speed aircraft are realized.
本发明实施例所提供的高速飞行器的鲁棒补偿控制方法、装置以及系统的计算机程序产品,包括存储了程序代码的计算机可读存储介质,所述程序代码包括的指令可用于执行前面方法实施例中所述的方法,具体实现可参见方法实施例,在此不再赘述。The computer program product of the robust compensation control method, device, and system for high-speed aircraft provided by the embodiments of the present invention includes a computer-readable storage medium storing program codes, and the instructions included in the program codes can be used to execute the preceding method embodiments The specific implementation of the method described in may refer to the method embodiments, and details are not repeated here.
所属领域的技术人员可以清楚地了解到,为描述的方便和简洁,上述描述的系统和装置的具体工作过程,可以参考前述方法实施例中的对应过程,在此不再赘述。Those skilled in the art can clearly understand that for the convenience and brevity of description, the specific working process of the above-described system and device can refer to the corresponding process in the foregoing method embodiments, which will not be repeated here.
另外,在本发明实施例的描述中,除非另有明确的规定和限定,术语“安装”、“相连”、“连接”应做广义理解,例如,可以是固定连接,也可以是可拆卸连接,或一体地连接;可以是机械连接,也可以是电连接;可以是直接相连,也可以通过中间媒介间接相连,可以是两个元件内部的连通。对于本领域的普通技术人员而言,可以具体情况理解上述术语在本发明中的具体含义。In addition, in the description of the embodiments of the present invention, unless otherwise specified and limited, the terms "installation", "connection" and "connection" should be understood in a broad sense, for example, it can be a fixed connection or a detachable connection , or integrally connected; it may be mechanically connected or electrically connected; it may be directly connected or indirectly connected through an intermediary, and it may be the internal communication of two components. Those of ordinary skill in the art can understand the specific meanings of the above terms in the present invention in specific situations.
所述功能如果以软件功能单元的形式实现并作为独立的产品销售或使用时,可以存储在一个计算机可读取存储介质中。基于这样的理解,本发明的技术方案本质上或者说对现有技术做出贡献的部分或者该技术方案的部分可以以软件产品的形式体现出来,该计算机软件产品存储在一个存储介质中,包括若干指令用以使得一台计算机设备(可以是个人计算机,服务器,或者网络设备等)执行本发明各个实施例所述方法的全部或部分步骤。而前述的存储介质包括:U盘、移动硬盘、只读存储器(ROM,Read-Only Memory)、随机存取存储器(RAM,Random Access Memory)、磁碟或者光盘等各种可以存储程序代码的介质。If the functions described above are realized in the form of software function units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on this understanding, the essence of the technical solution of the present invention or the part that contributes to the prior art or the part of the technical solution can be embodied in the form of a software product, and the computer software product is stored in a storage medium, including Several instructions are used to make a computer device (which may be a personal computer, a server, or a network device, etc.) execute all or part of the steps of the methods described in various embodiments of the present invention. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), magnetic disk or optical disk and other media that can store program codes. .
在本发明的描述中,需要说明的是,术语“中心”、“上”、“下”、“左”、“右”、“竖直”、“水平”、“内”、“外”等指示的方位或位置关系为基于附图所示的方位或位置关系,仅是为了便于描述本发明和简化描述,而不是指示或暗示所指的装置或元件必须具有特定的方位、以特定的方位构造和操作,因此不能理解为对本发明的限制。此外,术语“第一”、“第二”、“第三”仅用于描述目的,而不能理解为指示或暗示相对重要性。In the description of the present invention, it should be noted that the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer" etc. The indicated orientation or positional relationship is based on the orientation or positional relationship shown in the drawings, and is only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the referred device or element must have a specific orientation, or in a specific orientation. construction and operation, therefore, should not be construed as limiting the invention. In addition, the terms "first", "second", and "third" are used for descriptive purposes only, and should not be construed as indicating or implying relative importance.
最后应说明的是:以上所述实施例,仅为本发明的具体实施方式,用以说明本发明的技术方案,而非对其限制,本发明的保护范围并不局限于此,尽管参照前述实施例对本发明进行了详细的说明,本领域的普通技术人员应当理解:任何熟悉本技术领域的技术人员在本发明揭露的技术范围内,其依然可以对前述实施例所记载的技术方案进行修改或可轻易想到变化,或者对其中部分技术特征进行等同替换;而这些修改、变化或者替换,并不使相应技术方案的本质脱离本发明实施例技术方案的精神和范围,都应涵盖在本发明的保护范围之内。因此,本发明的保护范围应所述以权利要求的保护范围为准。Finally, it should be noted that: the above-described embodiments are only specific implementations of the present invention, used to illustrate the technical solutions of the present invention, rather than limiting them, and the scope of protection of the present invention is not limited thereto, although referring to the foregoing The embodiment has described the present invention in detail, and those skilled in the art should understand that any person familiar with the technical field can still modify the technical solutions described in the foregoing embodiments within the technical scope disclosed in the present invention Changes can be easily thought of, or equivalent replacements are made to some of the technical features; and these modifications, changes or replacements do not make the essence of the corresponding technical solutions deviate from the spirit and scope of the technical solutions of the embodiments of the present invention, and should be included in the scope of the present invention within the scope of protection. Therefore, the protection scope of the present invention should be based on the protection scope of the claims.
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108427289A (en) * | 2018-04-27 | 2018-08-21 | 哈尔滨工业大学 | A kind of hypersonic aircraft tracking and controlling method based on nonlinear function |
CN116736740A (en) * | 2023-08-09 | 2023-09-12 | 东方空间技术(山东)有限公司 | Simulation system and method for multiple aircrafts |
Citations (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US5572420A (en) * | 1995-04-03 | 1996-11-05 | Honeywell Inc. | Method of optimal controller design for multivariable predictive control utilizing range control |
CN103838145A (en) * | 2014-01-17 | 2014-06-04 | 南京航空航天大学 | Vertical take-off and landing airplane robust fault-tolerant control system and method based on cascaded observers |
CN105182743A (en) * | 2015-07-23 | 2015-12-23 | 北京航空航天大学 | Robust H-infinity-based variable-gain decoupling control method |
CN106292297A (en) * | 2016-10-26 | 2017-01-04 | 成都市优艾维机器人科技有限公司 | Based on PID controller and the attitude control method of L1 adaptive controller |
CN106444826A (en) * | 2016-09-07 | 2017-02-22 | 广西师范大学 | Flight control method of QUAV (Quadrotor Unmanned Aerial Vehicle) |
CN107512305A (en) * | 2017-08-08 | 2017-12-26 | 南京汽车集团有限公司 | Wire-controlled steering system and its stability control method |
-
2017
- 2017-11-09 CN CN201711096512.2A patent/CN107678284A/en active Pending
Patent Citations (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US5572420A (en) * | 1995-04-03 | 1996-11-05 | Honeywell Inc. | Method of optimal controller design for multivariable predictive control utilizing range control |
CN103838145A (en) * | 2014-01-17 | 2014-06-04 | 南京航空航天大学 | Vertical take-off and landing airplane robust fault-tolerant control system and method based on cascaded observers |
CN105182743A (en) * | 2015-07-23 | 2015-12-23 | 北京航空航天大学 | Robust H-infinity-based variable-gain decoupling control method |
CN106444826A (en) * | 2016-09-07 | 2017-02-22 | 广西师范大学 | Flight control method of QUAV (Quadrotor Unmanned Aerial Vehicle) |
CN106292297A (en) * | 2016-10-26 | 2017-01-04 | 成都市优艾维机器人科技有限公司 | Based on PID controller and the attitude control method of L1 adaptive controller |
CN107512305A (en) * | 2017-08-08 | 2017-12-26 | 南京汽车集团有限公司 | Wire-controlled steering system and its stability control method |
Non-Patent Citations (2)
Title |
---|
YU LINGYI等: "Robust Velocity and Height Control for Uncertain Hypersonic Vehicles", 《2015 27TH CHINESE CONTROL AND DECISION CONFERENCE》 * |
李昭莹,等: "高超声速飞行器非线性鲁棒控制律设计", 《控制理论与应用》 * |
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108427289A (en) * | 2018-04-27 | 2018-08-21 | 哈尔滨工业大学 | A kind of hypersonic aircraft tracking and controlling method based on nonlinear function |
CN108427289B (en) * | 2018-04-27 | 2021-06-29 | 哈尔滨工业大学 | A tracking control method for hypersonic vehicle based on nonlinear function |
CN116736740A (en) * | 2023-08-09 | 2023-09-12 | 东方空间技术(山东)有限公司 | Simulation system and method for multiple aircrafts |
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