Contributed by: Oliver Jackson, oliver.jackson@springer.com
Title: Analysis and Synthesis of Nonlinear Control Systems
Subtitle: A Convex Optimisation Approach
Authors: Miguel Bernal, Antonio Sala, Zsófia Lendek and Thierry Marie Guerra
Publisher: Springer Nature
ISBN: 978-3-030-90772-3 (Hardcover); 978-3-030-90773-0 (e-book)
Extent: 356 pages
Month of Publication: February 2022
Price: $169.99/139.99 Euros (Hardcover); $159.00/129.99 Euros (e-book) (local taxes may apply)
Available from: https://link.springer.com/book/10.1007/978-3-030-90773-0
This book presents 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.
Contents:
- 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
Appendices
- A: Useful Matrix and Norm Results
- B: Lyapunov Stability
- C: Convex Optimisation Tools
- D: Convex Sum Relaxations
