L1 Adaptive Control Theory
Guaranteed Robustness with Fast Adaptation

A comprehensive overview of the recently developed L1 adaptive control theory, including detailed proofs of the main results.

Naira Hovakimyan (Author), Chengyu Cao (Author)

9780898717044, Society for Industrial and Applied Mathematics

Paperback / softback, published 30 September 2010

337 pages
25.4 x 17.8 x 1.7 cm, 0.58 kg

L1 Adaptive Control Theory presents a new and efficient way of developing control laws for highly uncertain or rapidly changing environments. The key feature of this new theory is the decoupling of adaptation from robustness: the architectures of L1 adaptive control theory have guaranteed transient performance and robustness in the presence of fast adaptation. The authors cover detailed proofs of the main results and also present the results of flight tests which used this theory. The material is organized into six chapters and concludes with an appendix that summarizes the mathematical results used to support the proofs. This book is intended for graduate students; researchers; and aerospace, mechanical, chemical, industrial and electrical engineers interested in pursuing new directions in research and developing technology at reduced costs.

Foreword
Preface
1. Introduction
2. State feedback in the presence of matched uncertainties
3. State feedback in the presence of unmatched uncertainties
4. Output feedback
5. L1 Adaptive controller for time-varying reference systems
6. Applications, conclusions, and open problems
Appendix A. Systems theory
Appendix B. Projection operator for adaptation laws
Appendix C. Basic facts on linear matrix inequalities
Bibliography
Index.

Subject Areas: Maths for engineers [TBJ], Applied mathematics [PBW]