Nonlinear and adaptive control systems - Ding, Zhengato (Institute of Engineering and Technology, 2013)
Includes bibliographical references and index
Machine generated contents note: 1.Introduction to nonlinear and adaptive systems -- 1.1.Nonlinear functions and nonlinearities -- 1.2.Common nonlinear systems behaviours -- 1.3.Stability and control of nonlinear systems -- 2.State space models -- 2.1.Nonlinear systems and Linearisation around an operating point -- 2.2.Autonomous systems -- 2.3.Second-order nonlinear system behaviours -- 2.4.Limit cycles and strange attractors -- 3.Describing functions -- 3.1.Fundamentals -- 3.2.Describing functions for common nonlinear components -- 3.3.Describing function analysis of nonlinear systems -- 4.Stability theory -- 4.1.Basic definitions -- 4.2.Linearisation and local stability -- 4.3.Lyapunov's direct method -- 4.4.Lyapunov analysis of linear time-invariant systems -- 5.Advanced stability theory -- 5.1.Positive real systems -- 5.2.Absolute stability and circle criterion -- 5.3.Input-to-state stability and small gain theorem -- 5.4.Differential stability -- 6.Feedback linearisation --
Note continued: 6.1.Input-output linearisation -- 6.2.Full-state feedback linearisation -- 7.Adaptive control of linear systems -- 7.1.MRAC of first-order systems -- 7.2.Model reference control -- 7.3.MRAC of linear systems with relative degree 1 -- 7.4.MRAC of linear systems with high relatives -- 7.5.Robust adaptive control -- 8.Nonlinear observer design -- 8.1.Observer design for linear systems -- 8.2.Linear observer error dynamics with output injection -- 8.3.Linear observer error dynamics via direct state transformation -- 8.4.Observer design for Lipschitz nonlinear systems -- 8.5.Reduced-order observer design -- 8.6.Adaptive observer design -- 9.Backstepping design -- 9.1.Integrator backstepping -- 9.2.Iterative backstepping -- 9.3.Observer backstepping -- 9.4.Backstepping with filtered transformation -- 9.5.Adaptive backstepping -- 9.6.Adaptive observer backstepping -- 10.Disturbance rejection and output regulation --
Note continued: 10.1.Asymptotic rejection of sinusoidal disturbances -- 10.2.Adaptive output regulation -- 10.3.Output regulation with nonlinear exosystems -- 10.4.Asymptotic rejection of general periodic disturbances -- 11.Control applications -- 11.1.Harmonics estimation and rejection in power distribution systems -- 11.1.1.System model -- 11.1.2.Iterative observer design for estimating frequency modes in input -- 11.1.3.Estimation of specific frequency modes in input -- 11.1.4.Rejection of frequency modes -- 11.1.5.Example -- 11.2.Observer and control design for circadian rhythms -- 11.2.1.Circadian model -- 11.2.2.Lipschitz observer design -- 11.2.3.Phase control of circadian rhythms -- 11.3.Sampled-data control of nonlinear systems -- 11.3.1.System model and sampled-data control -- 11.3.2.Stability analysis of sampled-data systems -- 11.3.3.Simulation
The book reviews developments in the following fields: nonlinear systems; adaptive systems; state space models; describing functions; advanced stability theory; feedback linearisation; adaptive control of linear systems; nonlinear observer design; backstepping design; disturbance rejection; output regulation; and control applications