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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.
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