Bernal M. Analysis and Synthesis of Nonlinear Control Sys. 2022

Textbook in PDF format

A modern perspective on the modelling, analysis, and synthesis ideas behind convex-optimisation-based control of nonlinear systems: it embeds them in models with convex structures. Analysis and Synthesis of Nonlinear Control Systems begins with an introduction to the topic and a discussion of the problems to be solved. It then explores modelling via convex structures, including quasi-linear parameter-varying, Takagi–Sugeno models, and linear fractional transformation structures. The authors cover stability analysis, addressing Lyapunov functions and the stability of polynomial models, as well as the performance and robustness of the models. With detailed examples, simulations, and programming code, this book will be useful to instructors, researchers, and graduate students interested in nonlinear control systems.
Introduction
Problems to Be Solved and Scope of the Book
Modelling via Convex Structures
Stability Analysis
State Feedback, Performance, and Robustness
Observation and Output Feedback
Conclusions and Perspectives
Appendix A. Useful Matrix and Norm Results
Appendix B. Lyapunov Stability
Appendix C. Convex Optimisation Tools
Appendix D. Convex Sum Relaxations