Petar V. Kokotovic

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.

Singular perturbations and time-scale techniques were introduced to control engineering in the late 1960s and have since become common tools for the modeling, analysis, and design of control systems. In this SIAM Classics edition of the 1986 book, the original text is reprinted in its entirety (along with a new preface), providing once again the theoretical foundation for representative control applications. This book continues to be essential in many ways. It lays down the foundation of singular perturbation theory for linear and nonlinear systems, it presents the methodology in a pedagogical way that is not available anywhere else, and it illustrates the theory with many solved examples, including various physical examples and applications. So while new developments may go beyond the topics covered in this book, they are still based on the methodology described here, which continues to be their common starting point.

With the growing use of feedback controls, "hard" nonlinearities have become ubiquitous in engineering practice despite their rare treatment in academic texts. This book introduces a unified adaptive inverse approach for the control of systems with unknown nonlinearities and settles long-standing engineering problems posed by imperfections of actuators and sensors. Focusing on dead-zone, backlash, and hysteresis, the authors show how real-time computations can counteract the effects of these nonlinearities. In many applications their approach avoids the need for costly and specialized hardware. This easy-to-use, self-contained presentation of the entirely new adaptive inverse design is geared towards practicing engineers, researchers, and graduate students. Adaptive Control of Systems with Actuator and Sensor Nonlinearities features: *Systematic treatment for actuator and sensor nonlinearities. *Examples of dead-zone, backlash, and hysteresis models and their inverses. *Broad coverage that ranges from satellite antennas and piezo-positioners to industrial automation and consumer electronics. *Step-by-step instructions for adaptive inverse design and implementation. *Unified continuous- and discrete-time presentation. *A concise review of model reference adaptive control theory. *Extensive illustrations of system performance improvement. *Over ninety figures and design examples.

Using a pedagogical style along with detailed proofs and illustrative examples, this book opens a view to the largely unexplored area of nonlinear systems with uncertainties. The focus is on adaptive nonlinear control results introduced with the new recursive design methodology--adaptive backstepping. Describes basic tools for nonadaptive backstepping design with state and output feedbacks.