Analysis and Synthesis of Nonlinear Control Systems: A Convex Optimisation Approach

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.