自适应控制1-上海交通大学

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Lecture One

Class Introduction Instructor: Dr. ZHENG Yi(郑毅)

Nov. 9, 2016

E-mail: yizheng@ Webpage:

P e r f o r m a n c e E r r o r Modelling Accuracy

Fixed-gain controller requires greater modelling accuracy

P e r f o r m a n c e E r r o r Modelling Accuracy

Fixed-gain controller requires greater modelling accuracy Adaptive controller tunes itself

to the physical system

Example 1.1: Consider the system given by

for a=-0.01, 0, 0.01

Feedback control law c Figure: Open-loop responses Figure: Unit Step closed-loop responses

Figure: Open-loop Bode plots Figure: Closed-loop Bode plots

for T=0,0.015,0.03

Feedback control law u=u c-y Figure: Open-loop responses Figure: Unit Step closed-loop responses

Figure: Open-loop Bode plots Figure: Closed-loop Bode plots

Constraints:

Trajectory unknown Constraints

dynamics

Use a controller with varying parameters

Use a controller with constant parameters Use an adaptive controller Use gain scheduling Varying

Constant Unpredictable variations

Predictable variations

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