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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.



Book contents
Introduction to nonlinear and adaptive systems
State space models
Describing functions
Stability theory
Advanced stability theory
Feedback linearisation
Adaptive control of linear systems
Nonlinear observer design
Backstepping design
Disturbance rejection and output regulation
Control applications