Nonlinear and Adaptive Control of Complex Systems - Fradkov, A.L (Springer Netherlands, 1999)
This book presents a theoretical framewerk and control methodology for a class of complex dynamical systems characterized by high state space dimension, multiple inputs and outputs, significant nonlinearity, parametric uncertainty and unmodelled dynamics. The book starts with an introduction, Chapter 1, where the peculiarities of control problems for complex systems are discussed and motivating examples from different fields of science and technology are given. Chapter 2 presents several results of nonlinear control theory which assist in reading subsequent chapters. The main notions and concepts of stability theory are introduced. and problems of nonlinear transformation of system coordinates are discussed. On this basis, we consider different design techniques and approaches to linearization, stabilization and passification of nonlinear dynamical Systems. Chapter 3 gives an exposition of the Speed-Gradient method and its applications to nonlinear and adaptive control. Convergence and robustness properties are examined. The problems of regulation, tracking, partial stabilization and control of smithonian systems are considered