An adaptive dynamic surface controller structure and design method
A controller, dynamic surface technology, applied in adaptive control, general control system, control/regulation system, etc., can solve the problem of stimulating unmodeled dynamics, restricting the development and application of adaptive dynamic surface control methods, actuator saturation, etc. question
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[0088] The present invention will be further described below by taking the second-order uncertain nonlinear system as an example.
[0089]Consider the following second-order uncertain nonlinear system
[0090]
[0091] For simulation needs, set and for
[0092]
[0093] In this example, the external reference signal y r is a sinusoidal signal, and the initial value of the state of the controlled system is set to x 10 =1.
[0094] For this system, according to figure 1 The controller can be designed as follows:
[0095] Level 1 sub-controller:
[0096]
[0097] Level 2 sub-controller:
[0098]
[0099] Select the parameters of the controller as follows:
[0100] gamma 1 =0.005,γ 2 =0.005,κ 1 =1,κ 2 = 1,k 1 =5,k 2 =5,Γ W1 =50,Γ W2 =50,k W1 =0.001,k W2 = 0.001;
[0101] If the traditional adaptive dynamic surface control design method is adopted, the controller structure is as follows:
[0102] Level 1 sub-controller:
[0103]
[0104] Leve...
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