CN111221335A - 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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Abstract
The invention provides a fuzzy self-adaptive output feedback finite 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 ship automatic rudder system, which considers the limitation of rudder angle.
Background
The ship motion has the characteristics of large time lag, large inertia, nonlinearity and the like, the parameter perturbation problem of the control model is caused by the change of the navigational speed and the loading, and the uncertainty is generated in the ship course control system due to the change of the navigational condition, the interference of environmental parameters and the inaccuracy of measurement. In the face of the problems caused by the non-linearity uncertainty, an intelligent algorithm is developed at the same time, and is continuously applied to the field of ship heading control, such as adaptive control, robust control, fuzzy adaptive control, iterative sliding mode control, a least parameter learning method and the like. 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 change information of the rudder angle of the ship course system is mostly unknown, and the input of the rudder angle is bounded, in the prior art, the requirement on the actual performance of ship course control is considered to be less, the use cost is higher, and the engineering is not easy to realize.
Disclosure of Invention
According to the technical problems, the fuzzy self-adaptive output feedback limited time control method and system for the intelligent ship autopilot system considering the limitation of the rudder angle are provided. The invention mainly aims at an intelligent ship autopilot system considering rudder angle limitation, and can effectively reduce energy consumption of a controller, reduce abrasion of a steering engine and improve course tracking speed and accuracy by fuzzy self-adaptive output feedback limited time control.
The technical means adopted by the invention are as follows:
a fuzzy self-adaptive output feedback finite time control method for an intelligent ship autopilot system considering rudder angle limitation comprises 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 and a limited rudder angle by considering ship steady-state rotation nonlinear characteristic and rudder angle input bounded characteristic in an autopilot system, 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 change rate information of the course angle is immeasurable;
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 undetectable state of the autopilot system; obtaining observation error dynamics through the relation between the fuzzy state observer and the autopilot system;
s3, designing an auxiliary internal compensation system according to the rudder angle saturation characteristic model, and designing a virtual control function of the intelligent ship autopilot system based on the error between the output signal and the reference signal and the auxiliary design system;
s4, obtaining an actual control rudder angle of the autopilot system through the fuzzy state observer, the autopilot system mathematical model considering rudder angle limitation, observation error dynamic, an auxiliary system, a finite time virtual control function and a self-adaptive fuzzy update rate, transmitting the bounded rudder angle instruction to a ship steering engine to output a ship course angle, and realizing the finite time control of the course track tracking of the autopilot system 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,
is a course angle, and delta is a 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 x2And p is K/T, which is the control gain.
Considering the saturation characteristic of the input rudder angle bounded, the formula (2) is changed into
In equation (3), v is the control input to be designed, u (v) is the autopilot system input with saturation characteristics, and u (v) can be described as
In the formula (4), uMFor the limit value of the rudder angle, the rudder angle saturation characteristic of the autopilot system can be described by a smooth function as
The formula (5) can be rewritten as
The rudder system input u (v) with saturation characteristic and its describing function h (v) in the formula (6)The difference is a bounded function ρ (v), which can be described as | ρ (v) | ═ sat (v) -h (v) | ≦ uM(1-tanh(1))＝S1(7)
The absolute value | v | of the control input v to be designed is between 0 and the rudder angle limit value uMWhile changing, the value of the bounded function ρ (v) increases from 0 to S1When the value of | v | is larger than the rudder angle limit value uMWhen the value of ρ (v) is represented by S1Is reduced to 0.
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 epsilon is a fuzzy random small approximation error obtained according to the relationship between the preset ideal autopilot system characteristic of the ship course and an unknown nonlinear function in the autopilot system, and epsilon satisfies the condition that epsilon is less than or equal toε*，ε*Is a positive constant.
The combination formula (8) and the system (3) 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 non-measurable state 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 (4) 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 (9) and (11) are:
wherein ε is [0, ε ]]T，ΔF＝[0,Δf]T，
The step S3 specifically includes:
auxiliary system for establishing intelligent ship autopilot system
And virtual control function α specifically is defining a shipShip heading control system error coordinate change equation
In the formula, yrFor the desired tracking reference signal of the autopilot system,
α is a virtual control function for the system auxiliary system, and the dynamic state of the auxiliary system is obtained according to a rudder angle saturation characteristic description function h (v) of the autopilot system
Defining a virtual control function α as a function of the aiding system and the autopilot system error equations
In the formula c1Parameters to be designed are more than 0, 0 < β < 1.
The step S4 specifically includes:
establishing adaptive fuzzy update rate of intelligent ship autopilot system
Comprises the following steps:
wherein gamma is more than 0, and sigma is more than 0 as design parameter;
obtaining an actual finite time controller of the system:
in the formula, c2> 0, activation function
Is bounded, i.e.
The invention also provides a fuzzy self-adaptive output feedback finite time control system for the intelligent ship autopilot system considering the limitation of the rudder angle, 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 ship-mounted computer is used for processing the collected course information in the ship navigation process and finishing fuzzy self-adaptive output feedback limited time 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 ship course autopilot system rudder angle input limited mathematical module is used for constructing an intelligent ship autopilot system saturation characteristic model based on the autopilot system input with the saturation characteristic and a smooth description function thereof;
the fuzzy state observer building 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 undetectable state of the intelligent ship autopilot system;
the auxiliary system internal compensation module is used for designing an auxiliary compensation function of the intelligent ship autopilot system by utilizing the autopilot system rudder angle saturation characteristic description function and designing an auxiliary internal compensation system according to the auxiliary compensation function;
the virtual finite time 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 actual finite time controller building module is used for solving a fuzzy state observer, an automatic rudder system mathematical model considering rudder angle limitation, observation error dynamics, an auxiliary design function, a virtual control function and a self-adaptive fuzzy update rate through a universal approximation principle to obtain an actual finite time 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 the self-adaptive output feedback limited time control of the intelligent ship autopilot system.
Compared with the prior art, the method solves the output feedback problem of the intelligent ship autopilot system by using an auxiliary compensation system and a fuzzy state observer aiming at the intelligent ship autopilot system considering rudder angle firstly, effectively reduces the dependence of a controller on the state information of the course angle change rate of the course system, and considers the saturation characteristic of bounded rudder angle input in the actual engineering.
Based on the reason, the invention can be widely popularized in the technical field of automatic control of ships.
Drawings
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 finite time 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 plot of course angular rate of change versus course angular rate of change estimation;
FIG. 6 is a course angle and course angle estimation error curve;
FIG. 7 is a graph of the error between the rate of change of the course angle and the estimated value of the rate of change of the course angle;
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 optimal control method for 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 change rate information of the course angle is immeasurable; establishing a ship course nonlinear system mathematical model as follows:
in the formula (1),
is a course angle, and delta is a rudder angle; k is the ship turning index, T is the ship following index,
is an unknown non-linear function. Defining a state variable x1＝φ，
And (d) 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, f2(x2) For an unknown uncertain function, p is K/T is control gain;
secondly, obtaining a fuzzy minimum approximation error according to the relation between a preset ideal parameter vector of the ship course and a system nonlinear function; approximating a nonlinear function of the system by using a universal approximation principle of a fuzzy logic system, and designing a fuzzy state observer for estimating an undetectable state of the nonlinear system; obtaining observation error dynamic state through the relation between the fuzzy state observer and the nonlinear function of the system, firstly defining the ideal parameter vector of the ship course system as
Omega and U are each
And
the fuzzy minimum approximation error can be obtained according to the ideal parameter vector of the ship course:
the combination formula (3) and the system (2) can be rewritten as
In the formula (I), the compound is shown in the specification,
using the universal approximation principle of fuzzy logic systems, the nonlinear function f (x) of the system2) Can be approximated by a fuzzy logic system:
in order to estimate the non-measurable state of the system (4), a fuzzy state observer is designed as
Defining an observation error e as
The observed error dynamics obtained from equations (4) and (6) are
In the formula (I), the compound is shown in the specification,
ε＝[0,ε2]T。
thirdly, designing a virtual control function α of the intelligent ship autopilot system based on the error between the output signal and the reference signal, defining an error coordinate change equation of the ship heading control system
In the formula, yrIn order for the system to track the signal,
is a state x that is not measurable by the system2α is a virtual steering function, and the virtual steering function α is defined as the system error equation
In the formula c1> 0 is the parameter to be designed.
Fourthly, calculating the self-adaptive fuzzy update rate of the intelligent ship autopilot system based on the virtual control function
In the formula, gamma2＞0，σ2> 0 is a design parameter.
And fifthly, determining an actual finite time controller of the intelligent ship autopilot system: based on the observer with the pasty state established in the steps (1) to (4), approximating a nonlinear function existing in a ship course nonlinear system by using a universal approximation theorem to obtain an actual finite time controller of the system:
in the formula, c2> 0, activation function
Is bounded, i.e.
The embodiment of the invention also discloses an adaptive fuzzy optimal control system for 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 ship-mounted computer is used for processing the collected course information in the ship navigation process and completing the self-adaptive fuzzy optimal control of the ship course, and specifically comprises the following steps:
the ship course nonlinear control system mathematical model building module is used for building a ship course nonlinear control 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 an undetectable state of the nonlinear system;
the virtual finite time 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 actual finite time controller building module is used for solving the fuzzy state observer, the nonlinear system mathematical model, the observation error dynamics, the virtual control function and the self-adaptive fuzzy update rate through a universal approximation principle to obtain an actual finite time controller of the system;
and the data feedback unit is used for feeding back the calculated actual optimal rudder angle instruction information to a ship steering engine, outputting a ship course angle and realizing the self-adaptive output feedback limited time 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,a2＝30,K＝0.478,T＝216，uM35 pi/180. 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 function of finite time, finite time controller and adaptive rate, c1＝6,c 235, gamma is 0.08, sigma is 0.01, β is 12/13, and the parameter to be designed of the state observer is selected from K, m1,m2]T＝[70,3]T。
In the embodiment, 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 finite time control algorithm designed in the text has a good 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, the course error is small, the control precision is better, and the requirement of course keeping is met. FIG. 4 is a curve of course angle and course angle estimation value, FIG. 5 is a curve of course angle change rate and course angle change rate estimation, FIG. 6 is an error curve of course angle and course angle estimation value, and FIG. 7 is an error curve of course angle change rate and course angle change rate estimation value. FIG. 8 is a graph of a finite time controller, namely a rudder angle control chart, and it can be seen from the above graphs that the control output of the present invention has a fast response speed and a short adjustment time, so that the ship course is stabilized in a desired direction, and meets the actual requirements; the ship course nonlinear system output feedback finite time 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 in 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 and a limited rudder angle by considering ship steady-state rotation nonlinear characteristic and rudder angle input bounded characteristic in an autopilot system, 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 change rate information of the course angle is immeasurable;
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 undetectable state of the autopilot system; obtaining observation error dynamics through the relation between the fuzzy state observer and the autopilot system;
s3, designing an auxiliary system according to the rudder angle saturation characteristic model, and designing a finite 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 system;
s4, obtaining an actual control rudder angle of the autopilot system through the fuzzy state observer, the autopilot system mathematical model considering rudder angle limitation, observation error dynamic, an auxiliary system, a finite time virtual control function and a self-adaptive fuzzy update rate, transmitting the bounded rudder angle instruction to a ship steering engine to output a ship course angle, and realizing the finite time control of the course track tracking of the autopilot system of the ship course.
2. The method for fuzzy adaptive output feedback finite time control of an 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,
is a course angle, and delta is a 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 the purpose of the unknown function of uncertainty,satisfying the Liphoz condition, a known constant l exists such that
Is x2K/T is the control gain;
considering the saturation characteristic of the input rudder angle bounded, the formula (2) is changed into
In equation (3), v is the control input to be designed, u (v) is the autopilot system input with saturation characteristics, and u (v) can be described as
In the formula (4), uMFor the limit value of the rudder angle, the rudder angle saturation characteristic of the autopilot system can be described by a smooth function as
The formula (5) can be rewritten as
The difference between the input u (v) of the autopilot system with saturation characteristic and the describing function h (v) of the autopilot system with saturation characteristic in the formula (6) is a bounded function rho (v) which can be described as
|ρ(v)|＝|sat(v)-h(v)|≤uM(1-tanh(1))＝S1(7)
The absolute value | v | of the control input v to be designed is between 0 and the rudder angle limit value uMWhile changing, the value of the bounded function ρ (v) increases from 0 to S1When the value of | v | is larger than the rudder angle limit value uMWhen the value of ρ (v) is represented by S1Is reduced to 0.
3. The fuzzy adaptive output feedback finite time control method of the smart ship autopilot system according to claim 2, wherein the step S2 specifically comprises:
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 epsilon is a fuzzy random small approximation error obtained according to the relationship between the preset ideal autopilot system characteristic of the ship course and an unknown nonlinear function in the autopilot system, and epsilon meets the condition that epsilon is less than or equal to epsilon*，ε*Is a positive constant;
the combination formula (8) and the system (3) 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 non-measurable state 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 (4) 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 (9) and (11) are:
wherein ε is [0, ε ]]T，ΔF＝[0,Δf]T，
4. The fuzzy adaptive output feedback finite time control method of the intelligent ship autopilot system according to claim 3, characterized in that an auxiliary system of the intelligent ship autopilot system is established
And the virtual control function α is specifically defined as the coordinate change equation of the error of the ship heading control system
In the formula, yrFor the desired tracking reference signal of the autopilot system,
α is a virtual control function, and the dynamic state of the auxiliary system is obtained according to a rudder angle saturation characteristic description function h (v) of the autopilot system
Defining a finite time virtual control function α as a function of the aiding system and autopilot system error equations
In the formula c1Parameters to be designed are more than 0, 0 < β < 1.
5. The method of claim 4 wherein the adaptive fuzzy update rate of the smart ship autopilot system is based on the adaptive fuzzy update rate 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;
actual finite time controller of the system:
in the formula, c2> 0, activation function
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 system comprises a ship-mounted computer and a control system, wherein the ship-mounted computer is used for processing collected course information in the ship navigation process and finishing fuzzy self-adaptive output feedback limited time control of the ship course, and is characterized by specifically comprising 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 ship course autopilot system rudder angle input limited mathematical module is used for constructing an intelligent ship autopilot system saturation characteristic model based on the autopilot system input with the saturation characteristic and a smooth description function thereof;
the fuzzy state observer building 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 undetectable state of the intelligent ship autopilot system;
the auxiliary system internal compensation module is used for designing an auxiliary compensation function of the intelligent ship autopilot system by utilizing the autopilot system rudder angle saturation characteristic description function and designing an auxiliary system according to the auxiliary compensation 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 actual finite time controller building module is used for solving a fuzzy state observer, an automatic rudder system mathematical model considering rudder angle limitation, observation error dynamics, an auxiliary design function, a virtual control function and a self-adaptive fuzzy update rate through a universal approximation principle to obtain an actual finite time 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 the self-adaptive output feedback limited time control of the intelligent ship autopilot system.
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| CN111694272A (en) * | 2020-07-22 | 2020-09-22 | 南京工程学院 | Self-adaptive control method and device of nonlinear multi-agent based on fuzzy logic system |
| CN111930124A (en) * | 2020-08-14 | 2020-11-13 | 大连海事大学 | Fuzzy self-adaptive output feedback finite time control method and system for intelligent ship autopilot system |
| 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 |
| CN112782981A (en) * | 2020-12-30 | 2021-05-11 | 大连海事大学 | Fuzzy self-adaptive output feedback designated performance control method and system for intelligent ship autopilot system |
| 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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