Adaptive control.

*(English)*Zbl 0697.93033
Addison-Wesley Series in Electrical Engineering: Control Engineering. Reading, MA: Addison-Wesley Publishing Company. xiv, 526 p. (1989).

Adaptive control has been a very active area of research in systems and control in the last 15 years. This is mainly due to the fact that in many applications classical feedback leads to unsatisfactory closed-loop performance because the parameters in a system model undergo significant changes or cannot be measured with sufficient accuracy. Since the available results in adaptive control are widely scattered in the literature, it is difficult for a newcomer to get a good grasp of the field. This book serves as an introduction to adaptive control and is intended for both academic and industrial audiences. The reader is expected to have a good knowledge in automatic control and a basic knowledge in sampled data systems.

The book is organized as follows. The first two chapters give a broad presentation of adaptive control and background for its use. In particular reasons for using adaptive control are discussed. Real time estimation, which is an essential part of adaptive control is introduced in Chapter 3. Both discrete- and continuous-time estimation are covered. The focus is on least squares and methods closely related to least squares. In Chapters 4 and 5 a basic treatment of model-reference adaptive systems (MRAS) and self-tuning regulators (STR) is given. These two approaches to adaptive control are essentially equivalent. The authors present MRAS in continuous time and STR in discrete time following the historical development. This approach makes it possible to cover many aspects of adaptive controllers. Chapter 6 gives a deeper treatment of the theory of adaptive control. A variety of topics such as global stability, convergence, robustness, instability mechanisms, and universal stabilizers is discussed. Chapters 7 and 8 are devoted to stochastic adaptive control and automatic tuning of regulators, respectively. Two chapters with alternatives to adaptive control are also included: Gain scheduling is discussed in Chapter 9, robust high-gain control and self-oscillating controllers are presented in Chapter 10. Chapter 11 gives suggestions for the implementation of adaptive controllers. The chapter is based on the authors’ practical experience in using adaptive controllers on real processes. Chapter 12 contains a summary of applications and descriptions of some commercial adaptive controllers. Finally, Chapter 13 gives a brief review of some areas closely related to adaptive control. Connections to adaptive signal processing, expert systems and neutral nets are discussed.

Many examples and simulations are given throughout the book to illustrate the theory. All simulations in the book are done using the interactive simulation package Simnon, which is available for IBM-PC compatible computers and also for several mainframe computers.

The book has grown out of the authors’ great experience which evolved from many years of research and teaching in adaptive control. It is recommended to everybody who is interested in adaptive control and it is expected to become a standard text book. Inevitably the book has some overlap with two other recent books on adaptive control [see K. S. Narendra and A. M. Annaswamy, “Stable adaptive systems” (Englewood Cliffs, NJ, 1989) and S. Sastry and M. Bodson, “Adaptive control: Stability, convergence and robustness” (Englewood Cliffs, NJ, 1989)]. However, a comparison of the three books shows that they complement each other quite nicely. The focus in the work cited is on stability, convergence and robustness of deterministic adaptive schemes. The presentation is more formal and more theoretical than in the book under review and will probably be less attractive to practitioners.

The book is organized as follows. The first two chapters give a broad presentation of adaptive control and background for its use. In particular reasons for using adaptive control are discussed. Real time estimation, which is an essential part of adaptive control is introduced in Chapter 3. Both discrete- and continuous-time estimation are covered. The focus is on least squares and methods closely related to least squares. In Chapters 4 and 5 a basic treatment of model-reference adaptive systems (MRAS) and self-tuning regulators (STR) is given. These two approaches to adaptive control are essentially equivalent. The authors present MRAS in continuous time and STR in discrete time following the historical development. This approach makes it possible to cover many aspects of adaptive controllers. Chapter 6 gives a deeper treatment of the theory of adaptive control. A variety of topics such as global stability, convergence, robustness, instability mechanisms, and universal stabilizers is discussed. Chapters 7 and 8 are devoted to stochastic adaptive control and automatic tuning of regulators, respectively. Two chapters with alternatives to adaptive control are also included: Gain scheduling is discussed in Chapter 9, robust high-gain control and self-oscillating controllers are presented in Chapter 10. Chapter 11 gives suggestions for the implementation of adaptive controllers. The chapter is based on the authors’ practical experience in using adaptive controllers on real processes. Chapter 12 contains a summary of applications and descriptions of some commercial adaptive controllers. Finally, Chapter 13 gives a brief review of some areas closely related to adaptive control. Connections to adaptive signal processing, expert systems and neutral nets are discussed.

Many examples and simulations are given throughout the book to illustrate the theory. All simulations in the book are done using the interactive simulation package Simnon, which is available for IBM-PC compatible computers and also for several mainframe computers.

The book has grown out of the authors’ great experience which evolved from many years of research and teaching in adaptive control. It is recommended to everybody who is interested in adaptive control and it is expected to become a standard text book. Inevitably the book has some overlap with two other recent books on adaptive control [see K. S. Narendra and A. M. Annaswamy, “Stable adaptive systems” (Englewood Cliffs, NJ, 1989) and S. Sastry and M. Bodson, “Adaptive control: Stability, convergence and robustness” (Englewood Cliffs, NJ, 1989)]. However, a comparison of the three books shows that they complement each other quite nicely. The focus in the work cited is on stability, convergence and robustness of deterministic adaptive schemes. The presentation is more formal and more theoretical than in the book under review and will probably be less attractive to practitioners.

Reviewer: H.Logemann

##### MSC:

93C40 | Adaptive control/observation systems |

93-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to systems and control theory |

93E10 | Estimation and detection in stochastic control theory |