Model Free Adaptive Control Theory and Applications

by Hou, Zhongsheng Jin, Shangtai Introduction ...........................................................................................1 1.1 Model-Based Control ........................................................................1 1.1.1 Modeling and Identification .................................................1 1.1.2 Model-Based Controller Design ...........................................3 1.2 Data-Driven Control .........................................................................5 1.2.1 Definition and Motivation of Data-Driven Control .............6 1.2.2 Object of Data-Driven Control Methods..............................7 1.2.3 Necessity of Data-Driven Control Theory and Methods ........................................................................8 1.2.4 Brief Survey on Data-Driven Control Methods..................10 1.2.5 Summary of Data-Driven Control Methods.......................15 1.3 Preview of the Book.........................................................................16 2 Recursive Parameter Estimation for Discrete-Time Systems................19 2.1 Introduction ....................................................................................19 2.2 Parameter Estimation Algorithm for Linearly Parameterized Systems.....................................................................20 2.2.1 Projection Algorithm..........................................................21 2.2.2 Least-Squares Algorithm ....................................................22 2.3 Parameter Estimation Algorithm for Nonlinearly Parameterized Systems.....................................................................27 2.3.1 Projection Algorithm and Its Modified Form for Nonlinearly Parameterized Systems...............................27vi  ◾  Contents 2.3.2 Least-Squares Algorithm and Its Modified Form for Nonlinearly Parameterized Systems...............................32 2.4 Conclusions.......................................................................