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E-book
Author Ding, Zhengtao, author

Title Nonlinear and adaptive control systems / Zhengtao Ding
Published London, United Kingdom : The Institution of Engineering and Technology, 2013

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Description 1 online resource (x, 277 pages) : illustrations (black and white)
Series IET control engineering series ; 84
IET control engineering series ; 84.
Contents 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
Summary 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
Bibliography Includes bibliographical references and index
Subject Adaptive control systems -- Mathematics
Nonlinear systems -- Automatic control -- Mathematics
TECHNOLOGY & ENGINEERING -- Automation.
TECHNOLOGY & ENGINEERING -- Robotics.
Adaptive control systems
Automatic control
Neural networks (Computer science)
Nonlinear control theory
adaptive control.
control system synthesis.
feedback.
linear systems.
linearisation techniques.
nonlinear control systems.
observers.
stability.
state-space methods.
Form Electronic book
ISBN 9781849195751
1849195757