This book provides a compact presentation of the evolution of theory and design methods of feedback controllers for dynamical systems. A new theoretical approach is presented which aims to increase our understanding of how feedback controllers react to uncertain forces.
Control of Complex and Uncertain Systems comprises an introduction to the subject and the layout of the book, and ten chapters divided into two parts. Part I presents the principles underlying the design of automatic control systems, while new types of feedback are discussed in Part II. Chapters 1 and 2 address the principles underlying the design of linear automatic control systems, and the synthesis of non‐linear controllers, respectively. Topics covered include the load control principle, the principle of disturbance control, the K‐image method, relay feedback, and stabilisation by a variable structure controller.
General aspects of the theory of new types of feedback are discussed in chapter 3, while the theory of coordinate‐operator feedback is addressed in chapter 4. Chapter 5, higher‐degree sliding modes, discusses the preliminary from the theory of sliding modes, algorithms of second‐degree sliding, and output finite stabilisation. The theory of operator feedback, and the theory of operator‐coordinate feedback are discussed in chapters 6 and 7, respectively. Constraints, physical foundation of the compensation for disturbances and stabilisation of forced motion in binary systems is addressed in chapter 8. The two remaining chapters of the book present signal differentiation, and sub‐optimal stabilisation of an uncertain object. Topics discussed include tracking differentiating systems, non‐standard differentiating systems, an example of an optimal stabilisation problem under uncertainty, and the reduction of the sub‐optimal stabilisation problem to the problem of asymptotic invariance.
The contents of this book are presented well, easy to understand, and make good use of examples to present quite complicated ideas. Control of Complex and Uncertain Systems will be of use to academics and industrialists alike.
