Robust Nonlinear Control Design

The purpose of the book is to summarize Lyapunov design techniques for nonlinear systems and to raise important issues concerning large-signal robustness and performance. The authors have been the first to address some of these issues, and they report their findings in this text. For example, they identify two potential sources of excessive control effort in Lyapunov design techniques and show how such effort can be greatly reduced.

The researcher who wishes to enter the field of robust nonlinear control could use this book as a source of new research topics. For those already active in the field, the book may serve as a reference to a recent body of significant work. Finally, the design engineer faced with a nonlinear control problem will benefit from the techniques presented here.

• Lyapunov stability
• game theory
• mathematics
• nonlinear ordinary differential equations
• nonlinear systems
• robust nonlinear control
• set-valued analysis
• state-space techniques
• systems and control
• control
• control system
• control theory
• design
• differential equation
• model
• nonlinear control
• nonlinear system
• Optimal control
• ordinary differential equation
• signal

"The text is practically self-contained. The authors offer all necessary definitions and give a comprehensive introduction. Only the most basic knowledge of nonlinear analysis and design tools is required, including Lyapunov stability theory and optimal control. The authors also provide a review of set-valued maps for those readers who are not familiar with set-valued analysis. The book is intended for graduate students and researchers in control theory, serving as both a summary of recent results and a source of new research problems. In the opinion of this reviewer the authors do succeed in attaining these objectives."   —Mathematical Reviews

• Department of Electrical and Computer Engineering, Northwestern University, Evanston, USA

  Randy A. Freeman

• Department of Electrical and Computer Engineering, University of California, Santa Barbara, USA

  Petar Kokotović

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