CN111930124A - Fuzzy self-adaptive output feedback finite time control method and system for intelligent ship autopilot system - Google Patents
Fuzzy self-adaptive output feedback finite time control method and system for intelligent ship autopilot system Download PDFInfo
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- G—PHYSICS
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Abstract
The invention provides a fuzzy self-adaptive output feedback limited time control method and system of an intelligent ship autopilot system, belonging to the technical field of ship automatic control.
Description
Technical Field
The invention relates to the technical field of automatic control of ships, in particular to a fuzzy self-adaptive output feedback finite time control method and system for an intelligent automatic ship rudder system.
Background
The intelligent ship motion has the characteristics of large time lag, large inertia, nonlinearity and the like, the parameter perturbation of the control model is generated by the change of the navigational speed and the loading, and the uncertainty is generated in the course control system of the intelligent ship by the factors of the change of the navigational condition, the interference of environmental parameters, the measurement inaccuracy and the like. Aiming at the problems caused by the nonlinear uncertain dynamics, the intelligent algorithm is continuously applied to the field of intelligent ship heading control, such as self-adaptive control, robust control, fuzzy self-adaptive control, iterative sliding mode control and a least parameter learning method. Currently, most ship course track tracking designs adopt a state feedback control method, and the method assumes that all state information of a ship course system is known. However, in practical engineering application, the ship course system measuring instrument has the inevitable noise problem, so that all information of the autopilot system is difficult to measure, the performance requirement and the burden of the measuring instrument are increased, under most conditions, the heading angle speed information required in the autopilot course control system is unknown, and the existing most state feedback control method can not solve the problem that the controller design of the autopilot system with unknown heading angle speed cannot be realized, particularly the situations that the course angle tracking error is limited and the time for executing the course tracking task is limited. Therefore, in the course control result of the existing intelligent ship, compromise between control performance and control cost is less considered, and the use cost is higher, so that the engineering realization is not facilitated.
Disclosure of Invention
In light of the above-mentioned technical problems, a fuzzy adaptive output feedback finite time control method and system for an intelligent ship autopilot system are provided. The intelligent ship autopilot system with unknown heading angular velocity considered in the main aspect can effectively reduce the energy consumption of the controller, reduce the abrasion of the steering engine and improve the heading tracking speed and accuracy by fuzzy self-adaptive output feedback control. The technical means adopted by the invention are as follows:
a fuzzy self-adaptive output feedback finite time control method of an intelligent ship autopilot system comprises the following steps:
s1, transmitting the collected course information to a ship-borne computer, wherein the ship-borne computer establishes an intelligent ship autopilot system mathematical model related to a course angle by considering the ship steady-state rotation nonlinear characteristic, the course information comprises rudder angle data measured according to a ship steering engine and current course angle data measured by a compass, and the heading angular speed is not measurable;
s2, approximating an unknown nonlinear function in the autopilot system by using a general approximation principle of a fuzzy logic system, and designing a fuzzy state observer for estimating the unknown yaw angular velocity of the autopilot system; obtaining observer error dynamics through the relation between the fuzzy state observer and the autopilot system;
s3, tracking the limited characteristic of the dynamic error according to the course angle, obtaining an auxiliary compensation signal based on the limited performance threshold value, and designing a virtual control function of the intelligent ship autopilot system based on a self-adaptive pushback method according to the dynamic error between the course angle signal and the reference signal and the auxiliary compensation signal;
s4, obtaining the actual control rudder angle of the autopilot system through the fuzzy state observer, the autopilot system mathematical model with limited error state, the observer error dynamic, the auxiliary compensation signal, the virtual control function and the self-adaptive fuzzy update rate, and transmitting the rudder angle instruction to the ship steering engine to output the ship course angle to realize the automatic rudder system course track tracking control of the ship course.
Further, in step S1, the building of the mathematical concrete model of the smart ship autopilot system includes:
in the formula (1), the reaction mixture is,
the course angle is the rudder angle; k is the ship turning index, T is the ship following index,
defining state variables for unknown non-linear functions
And (3) changing the formula (1) to obtain a ship course nonlinear system mathematical model:
in the formula (2), xiWhere i is 1,2 is the state of the system, u is the input of the system, y is the output of the system, and f (x)2) For unknown uncertainty functions, satisfying the Liphoz condition, there is a known constant l, such that
Is x2An estimate of (d).
The step S2 specifically includes:
obtaining an unknown nonlinear function f (x) in the autopilot system by using the general approximation principle of the fuzzy logic system2) Is approximated by
The unknown non-linear function can be described as
In the formula, theta*In order to obtain the ideal parameter vector according to the preset ship course,
is an ideal parameter vector theta*The estimated value of (a) is a relation between the characteristics of the autopilot system ideal according to the preset ship course and an unknown nonlinear function in the autopilot systemThe obtained fuzzy random small approximation error meets the condition that | | | is less than or equal to*，*Is a positive constant.
The combination formula (3) and the system (2) can be rewritten as
In the formula (I), the compound is shown in the specification,
Δ f is an unknown non-linear function f (x) in a rudder system2) And an approximation value obtained by approximating the same by using a fuzzy logic system
The difference obtained by making the difference between them.
In order to estimate the yaw rate of the system (3), a fuzzy state observer is designed as
In the formula, m1＞0,m 20 is the observer parameter to be designed.
Rewriting formula (5) to
In the formula (I), the compound is shown in the specification,
M＝[m1,m2]T，C＝[1,0]T，B＝[0,1]T；
defining observation errorseComprises the following steps:
the observed error dynamics obtained from equations (4) and (6) are:
wherein, in the formula, ([ 0 ",]T，ΔF＝[0,Δf]T，
the step S3 specifically includes:
finite time virtual control function alpha for designing intelligent ship autopilot system1FThe method specifically comprises the following steps: defining an error coordinate change equation of a ship course control system
In the formula, yrTracking reference signal, alpha, desired for the autopilot system1FFor the virtual finite time control function, the auxiliary compensation signal obtained according to the limited course angle tracking error of the autopilot system is
In the formula, kb1Are design parameters.
Defining a virtual finite time control function alpha according to the finite time auxiliary compensation signal and an error equation of an autopilot system1FIs composed of
In the formula c1More than 0 is the parameter to be designed, and 1 more than beta more than 0 is the parameter to be designed.
The step S4 specifically includes:
finite time adaptive fuzzy update rate for designing intelligent ship autopilot system
Comprises the following steps:
wherein gamma is more than 0, and sigma is more than 0 as design parameter;
designing a practical finite time controller of the system:
in the formula, c2> 0 as a design parameter, activate function
Is bounded, i.e.
The invention also provides a fuzzy self-adaptive output feedback finite time control system of the intelligent ship autopilot system, which comprises the following steps:
the data acquisition unit is used for acquiring course information in the ship navigation process, wherein the course information comprises rudder angle data and current course angle data;
the data transmission unit is used for transmitting the collected course information in the ship navigation process to the ship-mounted computer;
the on-board computer is used for processing the collected course information in the ship navigation process and finishing fuzzy self-adaptive output feedback control of the ship course, and specifically comprises the following steps:
the ship course autopilot system mathematical model building module is used for building an intelligent ship autopilot system mathematical model between the input and the output of the system based on the course information;
the fuzzy state observer constructing module is used for approximating a nonlinear function of the system by utilizing a universal approximation principle of a fuzzy logic system and designing a fuzzy state observer for estimating the bow angular velocity of the intelligent ship autopilot system;
the finite time auxiliary compensation signal is used for designing a course angle tracking error limited function of the intelligent ship autopilot system by utilizing a course angle tracking error characteristic description function of the autopilot system and designing an auxiliary system according to the course angle tracking error limited function;
the finite time virtual controller construction module is used for designing a virtual control function of the intelligent ship autopilot system by utilizing the error between the output signal and the reference signal and designing a virtual controller according to the virtual control function;
the finite time actual controller building module is used for solving the fuzzy state observer, an autopilot system mathematical model considering the limitation of course angle tracking error, observation error dynamics, a finite time auxiliary design function, a finite time virtual control function and a finite time self-adaptive fuzzy update rate through a universal approximation principle to obtain a finite time actual controller of the system;
and the data feedback unit is used for feeding back the calculated actual limited rudder angle instruction information to a ship steering engine, outputting a ship course angle and realizing self-adaptive output feedback control of the intelligent ship autopilot system.
Compared with the prior art, the invention solves the output feedback problem of the intelligent ship autopilot system by using an auxiliary system and a fuzzy state observer aiming at the intelligent ship autopilot system considering the limited course angle tracking error, effectively reduces the dependence of a controller on the state information of the heading angle speed of the course system, simultaneously considers the limited course angle tracking error in the actual engineering, and on the other hand, the fuzzy state observer established by the invention adopts an intelligent control algorithm, is more suitable for solving the ship motion control problem with the characteristics of large time lag, large inertia and nonlinearity, solves the problem of limited time course tracking control while solving the problem that the system state information is not completely known, improves the speed and the precision of course tracking, and can control the course angle of the intelligent ship in a limited time through the designed limited time control parameter, and tracking a given reference signal to complete the control task.
Based on the reason, the invention can be widely popularized in the technical field of automatic control of ships.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the description of the embodiments or the prior art will be briefly introduced below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
FIG. 1 is a flow chart of a control method of the present invention.
FIG. 2 is a block diagram of a control system of the present invention.
Fig. 3-8 are fuzzy adaptive output feedback control simulation diagrams of the intelligent ship system in the embodiment of the invention.
Wherein:
FIG. 3 is a graph of actual and reference course of a ship;
FIG. 4 is a course angle versus course angle estimation curve;
FIG. 5 is a curve of yaw rate versus yaw rate estimation;
FIG. 6 is a course angle and course angle estimation error curve;
FIG. 7 is a graph of the error between the yaw rate and the yaw rate estimate;
fig. 8 is a control rudder angle curve.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
As shown in fig. 1 and fig. 2, the invention discloses an adaptive fuzzy output feedback control method of an intelligent ship autopilot system, which specifically comprises the following steps,
firstly, transmitting collected course information to an on-board computer, wherein the on-board computer establishes an intelligent ship autopilot system mathematical model related to a course angle and a rudder angle by considering the ship steady-state rotation nonlinear characteristic, the course information comprises rudder angle data measured according to a ship steering engine and current course angle data measured by a compass, and the heading angular speed is not measurable; establishing a ship course nonlinear system mathematical model as follows:
in the formula (1), the reaction mixture is,
the course angle is the rudder angle; k is the ship turning index, T is the ship following index,
defining state variables for unknown non-linear functions
And (3) changing the formula (1) to obtain a ship course nonlinear system mathematical model:
in the formula (2), xiWhere i is 1,2 is the state of the system, u is the input of the system, y is the output of the system, and f (x)2) For unknown uncertainty functions, satisfying the Liphoz condition, there is a known constant l, such that
Is x2An estimate of (d).
Secondly, obtaining an unknown nonlinear function f (x) in the autopilot system by utilizing the general approximation principle of the fuzzy logic system2) Is approximated by
The unknown non-linear function can be described as
In the formula, theta*In order to obtain the ideal parameter vector according to the preset ship course,
is an ideal parameter vector theta*Is determined by the estimated value of (c),the method is characterized in that a fuzzy random small approximation error is obtained according to the relation between the preset ideal autopilot system characteristic of the ship course and an unknown nonlinear function in the autopilot system, and the condition that | | | is less than or equal to*，*Is a positive constant;
the combination formula (3) and the system (2) can be rewritten as
In the formula (I), the compound is shown in the specification,
Δ f is an unknown non-linear function f (x) in a rudder system2) And an approximation value obtained by approximating the same by using a fuzzy logic system
Making a difference between the two to obtain a difference value;
in order to estimate the unknown yaw rate of the system (3), a fuzzy state observer is designed as
In the formula, m1＞0,m2The observer parameter to be designed is more than 0;
rewriting formula (5) to
In the formula (I), the compound is shown in the specification,
M＝[m1,m2]T，C＝[1,0]T，B＝[0,1]T；
defining observation errorseComprises the following steps:
the observed error dynamics obtained from equations (4) and (6) are:
wherein, in the formula, ([ 0 ",]T，ΔF＝[0,Δf]T，
thirdly, establishing an auxiliary system h and a virtual control function alpha of the intelligent ship autopilot system based on the error between the course angle signal and the reference signal1FThe method specifically comprises the following steps: defining an error coordinate change equation of a ship course control system
In the formula, yrTracking reference signal, alpha, desired for the autopilot system1FIs a virtualA finite time control function, and an auxiliary compensation signal is obtained according to the limited course angle tracking error of the autopilot system
In the formula, kb1Are design parameters.
Defining a virtual finite time control function alpha according to the finite time auxiliary compensation signal and an error equation of an autopilot system1FIs composed of
In the formula c1More than 0 is the parameter to be designed, and 1 more than beta more than 0 is the parameter to be designed.
Fourthly, designing the finite time self-adaptive fuzzy update rate of the intelligent ship autopilot system
Comprises the following steps:
wherein gamma is more than 0, and sigma is more than 0 as design parameter;
designing a practical finite time controller of the system:
in the formula, c2> 0 as a design parameter, activate function
Is bounded, i.e.
The embodiment of the invention also discloses a self-adaptive fuzzy output feedback control system of the intelligent ship autopilot system, which is characterized by comprising the following steps:
the data acquisition unit is used for acquiring course information in the ship navigation process, wherein the course information comprises rudder angle data and current course angle data;
the data acquisition unit is used for acquiring course information in the ship navigation process, wherein the course information comprises rudder angle data and current course angle data;
the data transmission unit is used for transmitting the collected course information in the ship navigation process to the ship-mounted computer;
the on-board computer is used for processing the collected course information in the ship navigation process and finishing fuzzy self-adaptive output feedback control of the ship course, and specifically comprises the following steps:
the ship course autopilot system mathematical model building module is used for building an intelligent ship autopilot system mathematical model between the input and the output of the system based on the course information;
the fuzzy state observer constructing module is used for approximating a nonlinear function of the system by utilizing a universal approximation principle of a fuzzy logic system and designing a fuzzy state observer for estimating the bow angular velocity of the intelligent ship autopilot system;
the finite time auxiliary compensation signal is used for designing a course angle tracking error limited function of the intelligent ship autopilot system by utilizing a course angle tracking error characteristic description function of the autopilot system and designing an auxiliary system according to the course angle tracking error limited function;
the finite time virtual controller building module is used for designing a virtual control function of the intelligent ship autopilot system by utilizing the error between the output signal and the reference signal and designing a finite time virtual controller according to the virtual control function;
the finite time actual controller building module is used for solving the fuzzy state observer, an autopilot system mathematical model considering the limitation of course angle tracking error, observation error dynamics, a finite time auxiliary design function, a finite time virtual control function and a finite time self-adaptive fuzzy update rate through a universal approximation principle to obtain a finite time actual controller of the system;
and the data feedback unit is used for feeding back the calculated actual rudder angle instruction information to a ship steering engine, outputting a ship course angle and realizing self-adaptive output feedback control of the intelligent ship autopilot system.
In this embodiment, Matlab is used to perform computer simulation, and the "spread" wheel of an ocean practice ship of university of maritime affairs is taken as an example to verify the validity of the control algorithm in this text. The tracking signal selects a mathematical model that can represent the actual performance requirements:
in the formula, phimDesired system performance, phi, representing vessel headingr(k) The value of (sign (sin (pi k/500)) +1) pi/12 is a processed input signal, which takes values from 0 to 30 °, with a period of 500 s. Calculating to obtain mathematical model parameter a of ship course discrete nonlinear system1＝1,a230, K0.478 and T216. The fuzzy membership rule is selected as follows
R1If the
Is that
Then y is G1；
R2If the
Is that
Then y is G2；
R3If the
Is that
Then y is G3；
R4If the
Is that
Then y is G4；
R5If the
Is that
Then y is G2；
In the interval [ -2,2 [)]Definition of
Selecting the fuzzy set as
Where PL, PS, ZE, NS, and NL are the language values of the fuzzy set. The center point is selected to be-2, -1,0,1,2, and the fuzzy membership function is
Selection of parameters to be designed for virtual control functions, controllers and adaptation rates, c1＝6,c 235, γ is 0.08, σ is 0.01; selecting K ═ m for parameter to be designed of state observer1,m2]T＝[70,3]T。
In the embodiment, the MATLAB is utilized to carry out computer simulation research, the result is shown in FIGS. 3-8, FIG. 3 shows an intelligent ship heading keeping control curve for a given expected heading, and it can be known from the figure that the fuzzy adaptive output feedback control algorithm designed herein has a better control effect. When the closed-loop system tends to be stable, the actual course of the ship can be tracked in the expected heading direction in a self-adaptive manner, and the course tracking error is within a certain range, so that the control precision is better, and the requirement of course keeping is met. FIG. 4 is a curve of course angle versus course angle estimate, FIG. 5 is a curve of heading angular velocity versus heading angular velocity estimate, FIG. 6 is a curve of error of course angle versus course angle estimate, and FIG. 7 is a curve of error of heading angular velocity versus heading angular velocity estimate. FIG. 8 is a graph of a controller, namely a rudder angle control graph, and it can be seen from the above graphs that the control output response speed of the invention is fast, the adjustment time is short, the ship course is stabilized in the expected direction, and the actual requirements are met; the ship course nonlinear system output feedback control method provided by the invention based on the fuzzy state observer can ensure that all signals in a closed-loop system are bounded, and the tracking error converges to a neighborhood taking zero as a center.
Finally, it should be noted that: the above embodiments are only used to illustrate the technical solution of the present invention, and not to limit the same; while the invention has been described in detail and with reference to the foregoing embodiments, it will be understood by those skilled in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some or all of the technical features may be equivalently replaced; and the modifications or the substitutions do not make the essence of the corresponding technical solutions depart from the scope of the technical solutions of the embodiments of the present invention.
Claims (6)
1. A fuzzy self-adaptive output feedback finite time control method of an intelligent ship autopilot system is characterized by comprising the following steps:
s1, transmitting the collected course information to an on-board computer, wherein the on-board computer establishes an intelligent ship autopilot system mathematical model related to a course angle, a heading angular velocity and a rudder angle by considering the ship steady-state rotation nonlinear characteristic, and the course information comprises rudder angle data measured according to a ship steering engine and current course angle data measured by a compass, wherein the heading angular velocity cannot be measured;
s2, approximating an unknown nonlinear function in the autopilot system by using a general approximation principle of a fuzzy logic system, and designing a fuzzy state observer for estimating heading angular velocity information of the autopilot system; obtaining observation error dynamics through the relation between the fuzzy state observer and the autopilot system;
s3, designing a limited error auxiliary compensation signal according to the limited characteristic of course angle tracking error, and designing a limited time virtual control function of the intelligent ship autopilot system based on the error between the output signal and the reference signal and the auxiliary compensation signal;
s4, obtaining the actual finite time control rudder angle of the autopilot system through the fuzzy state observer, the autopilot system mathematical model considering unknown yaw angular velocity, observation error dynamic, auxiliary compensation signals, the finite time virtual control function and the finite time self-adaptive fuzzy update rate, and transmitting the rudder angle instruction to the steering engine of the ship to output the ship course angle to realize the course track tracking control of the autopilot system of the ship course.
2. The fuzzy adaptive output feedback control method for the intelligent ship autopilot system according to claim 1, wherein in step S1, the mathematical concrete model of the intelligent ship autopilot system is established as follows:
in the formula (1), the reaction mixture is,
the course angle is the rudder angle; k is the ship turning index, T is the ship following index,
defining state variables for unknown non-linear functions
And (3) changing the formula (1) to obtain a ship course nonlinear system mathematical model:
in the formula (2), xiWhere i is 1,2 is the state of the system, u is the input of the system, y is the output of the system, and f (x)2) For unknown uncertainty functions, satisfying the Liphoz condition, there is a known constant l, such that
Is x2An estimate of (d).
3. The fuzzy adaptive output feedback control method for the smart ship autopilot system according to claim 2, wherein the step S2 specifically includes:
obtaining an unknown nonlinear function f (x) in the autopilot system by using the general approximation principle of the fuzzy logic system2) Is approximated by
The unknown non-linear function can be described as
In the formula, theta*In order to obtain the ideal parameter vector according to the preset ship course,
is an ideal parameter vector theta*The estimated value of (a) is based on the characteristics of the desired autopilot system for the predetermined course of the ship and the unknown non-linear function in the autopilot systemThe fuzzy random small approximation error obtained by the relation between the two satisfies | | is less than or equal to*，*Is a positive constant;
the combination formula (3) and the system (2) can be rewritten as
In the formula (I), the compound is shown in the specification,
Δ f is an unknown non-linear function f (x) in a rudder system2) And an approximation value obtained by approximating the same by using a fuzzy logic system
Making a difference between the two to obtain a difference value;
in order to estimate the unknown yaw rate of the system (3), a fuzzy state observer is designed as
In the formula, m1＞0,m2The observer parameter to be designed is more than 0;
rewriting formula (5) to
In the formula (I), the compound is shown in the specification,
M＝[m1,m2]T，C＝[1,0]T，B＝[0,1]T；
defining the observation error e as:
the observed error dynamics obtained from equations (4) and (6) are:
wherein, in the formula, ([ 0 ",]T，ΔF＝[0,Δf]T，
4. the fuzzy adaptive output feedback control method of the smart ship autopilot system according to claim 3, wherein the step S3 specifically comprises the steps of: defining an error coordinate change equation of a ship course control system
In the formula, yrTracking reference signal, alpha, desired for the autopilot system1FFor a finite time virtual control function, an auxiliary compensation signal is obtained according to a limited course angle tracking error of the autopilot system
In the formula, kb1Is a design parameter;
defining a finite time virtual control function alpha according to a finite time auxiliary compensation signal and an error equation of an autopilot system1FIs composed of
In the formula c1> 0 is to be designedThe parameters 1 > beta > 0 are the parameters to be designed.
5. The method of claim 4 wherein the finite time adaptive fuzzy update rate of the smart ship autopilot system is based on the fuzzy adaptive output feedback control of the smart ship autopilot system
Comprises the following steps:
wherein gamma is more than 0, and sigma is more than 0 as design parameter;
designing a finite time practical controller of the system:
in the formula, c2> 0, activate function for design parameter
Is bounded, i.e.
6. A fuzzy self-adaptive output feedback finite time control system of an intelligent ship autopilot system is characterized by comprising the following components:
the data acquisition unit is used for acquiring course information in the ship navigation process, wherein the course information comprises rudder angle data and current course angle data;
the data transmission unit is used for transmitting the collected course information in the ship navigation process to the ship-mounted computer;
the on-board computer is used for processing the collected course information in the ship navigation process and finishing fuzzy self-adaptive output feedback control of the ship course, and specifically comprises the following steps:
the ship course autopilot system mathematical model building module is used for building an intelligent ship autopilot system mathematical model between the input and the output of the system based on the course information;
the fuzzy state observer constructing module is used for approximating a nonlinear function of the system by utilizing a universal approximation principle of a fuzzy logic system and designing a fuzzy state observer for estimating the unknown yaw angular velocity of the intelligent ship autopilot system;
the finite time auxiliary compensation signal is used for designing a course angle tracking error limited function of the intelligent ship autopilot system by utilizing a course angle tracking error characteristic description function of the autopilot system and designing an auxiliary compensation system according to the course angle tracking error limited function;
the finite time virtual controller building module is used for designing a finite time virtual control function of the intelligent ship autopilot system by utilizing the error between the output signal and the reference signal and designing a finite time virtual controller according to the finite time virtual control function;
the finite time actual controller building module is used for solving the fuzzy state observer, an autopilot system mathematical model considering the limitation of course angle tracking error, observation error dynamics, an auxiliary compensation signal, a finite time virtual control function and a finite time self-adaptive fuzzy update rate through a universal approximation principle to obtain a finite time actual controller of the system;
and the data feedback unit is used for feeding back the calculated actual rudder angle instruction information to a ship steering engine, outputting a ship course angle and realizing self-adaptive output feedback control of the intelligent ship autopilot system.
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| CN112698575A (en) * | 2020-12-30 | 2021-04-23 | 大连海事大学 | Intelligent ship autopilot adaptive fuzzy output feedback control method and system |
| CN113093734A (en) * | 2021-03-17 | 2021-07-09 | 大连海事大学 | Unmanned ship course co-fusion control method, system and structure with limited input |
| CN113625727A (en) * | 2021-09-13 | 2021-11-09 | 大连海事大学 | Method for controlling ship course system with complex noise based on generalized fuzzy hyperbolic model |
| CN116880165A (en) * | 2023-05-30 | 2023-10-13 | 济宁医学院 | Model reference self-adaptive finite time control method of non-contact suspension grabbing system |
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| CN111221335A (en) * | 2020-01-17 | 2020-06-02 | 大连海事大学 | Fuzzy self-adaptive output feedback finite time control method and system for intelligent ship autopilot system |
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| CN112698575A (en) * | 2020-12-30 | 2021-04-23 | 大连海事大学 | Intelligent ship autopilot adaptive fuzzy output feedback control method and system |
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| CN113625727A (en) * | 2021-09-13 | 2021-11-09 | 大连海事大学 | Method for controlling ship course system with complex noise based on generalized fuzzy hyperbolic model |
| CN116880165A (en) * | 2023-05-30 | 2023-10-13 | 济宁医学院 | Model reference self-adaptive finite time control method of non-contact suspension grabbing system |
| CN116880165B (en) * | 2023-05-30 | 2024-01-30 | 济宁医学院 | Model reference self-adaptive finite time control method of non-contact suspension grabbing system |
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