An adaptive system for linear systems with unknown parameters is a nonlinear system. The analysis of such adaptive systems requires similar techniques to analysis for nonlinear systems. Therefore it is natural to treat adaptive control as a part of nonlinear control systems.
Nonlinear and Adaptive Control Systems treats nonlinear control and adaptive control in a unified framework, presenting the major results at a moderate mathematical level, suitable to MSc students and engineers with undergraduate degrees. Topics covered include introduction to nonlinear systems; state space models; describing functions for common nonlinear components; stability theory; feedback linearization; adaptive control; nonlinear observer design; backsteping design; disturbance rejection and output regulation; and control applications, including harmonic estimation and rejection in power distribution systems, observer and control design for circadian rhythms, and suppression of flutters in aircraft.
Preface
Chapter 1 : Introduction to Nonlinear and Adaptive Systems
Chapter 2 : State Space Models
Chapter 3 : Describing Functions
Chapter 4 : Stability Theory
Chapter 5 : Advanced Stability Theory
Chapter 6 : Feedback Linearisation
Chapter 7 : Adaptive Control of Linear Systems
Chapter 8 : Nonlinear Observer Design
Chapter 9 : Backstepping Design
Chapter 10 : Disturbance Rejection and Output Regulation
Chapter 11 : Control Applications
Index
