Control Systems Theory and Applications for Linear Repetitive Processes

✍ Scribed by Eric Rogers, Krzysztof Galkowski, David H. Owens (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2007
• Tongue: English
• Leaves: 475
• Series: Lecture Notes in Control and Information Sciences 349
• Edition: 1
• Category: Library

✦ Synopsis

After motivating examples, this monograph gives substantial new results on the analysis and control of linear repetitive processes. These include further applications of the abstract model based stability theory which, in particular, shows the critical importance to the dynamics developed of the structure of the initial conditions at the start of each new pass, the development of stability tests and performance bounds in terms of so-called 1D and 2D Lyapunov equations. It presents the development of a major bank of results on the structure and design of control laws, including the case when there is uncertainty in the process model description, together with numerically reliable computational algorithms. Finally, the application of some of these results in the area of iterative learning control is treated --- including experimental results from a chain conveyor system and a gantry robot system.

✦ Table of Contents

Front Matter....Pages I-XIV
Examples and Representations....Pages 1-40
Stability - Theory, Tests and Performance Bounds....Pages 41-83
Lyapunov Equations for Discrete Processes....Pages 85-116
Lyapunov Equations for Differential Processes....Pages 117-140
Robustness....Pages 141-175
Controllability, Observability, Poles and Zeros....Pages 177-234
Feedback and Optimal Control....Pages 235-304
Control Law Design for Robustness and Performance....Pages 305-367
Application to Iterative Learning Control....Pages 369-426
Conclusions and Further Work....Pages 427-449
Back Matter....Pages 451-468

✦ Subjects

Control Engineering;Systems and Information Theory in Engineering;Systems Theory, Control