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Full Description
An adaptive system for linear systems with unknown parameters is a nonlinear system. The analysis of such adaptive systems requires similar techniques to analyse 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 controlin a unified framework, presenting the major results at a moderate mathematical level, suitable for MSc students and engineers with undergraduate degrees. Topics covered include introduction to nonlinear systems; state space models; describing functions forcommon nonlinear components; stability theory; feedback linearization; adaptive control; nonlinear observer design; backstepping design; disturbance rejection and output regulation; and control applications, including harmonic estimation and rejection inpower distribution systems, observer and control design for circadian rhythms, and discrete-time implementation of continuous-timenonlinear control laws.
Contents
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