Nonlinear and adaptive control systems

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Title:

Personal Author:

Ding, Zhengtao

Series:

Control engineering series ; 84

Publication Information:

London, United Kingdom : The Institution of Engineering and Technology, 2013

Physical Description:

x, 277 p. : ill. ; 24 cm.

ISBN:

9781849195744

Subject Term:

Nonlinear control theory

Available:*

Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... Perpustakaan Raja Zarith Sofiah	35000000001556	QA402.35 D56 2013	Open Access Book	Book	Searching... Unknown
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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 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.

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Preface	p. ix
1 Introduction to nonlinear and adaptive systems	p. 1
1.1 Nonlinear functions and nonlinearities	p. 1
1.2 Common nonlinear systems behaviours	p. 4
1.3 Stability and control of nonlinear systems	p. 5
2 State space models	p. 9
2.1 Nonlinear systems and linearisation around an operating point	p. 9
2.2 Autonomous systems	p. 11
2.3 Second-order nonlinear system behaviours	p. 12
2.4 Limit cycles and strange attractors	p. 18
3 Describing functions	p. 25
3.1 Fundamentals	p. 26
3.2 Describing functions for common nonlinear components	p. 29
3.3 Describing function analysis of nonlinear systems	p. 34
4 Stability theory	p. 41
4.1 Basic definitions	p. 41
4.2 Linearisation and local stability	p. 45
4.3 Lyapunov's direct method	p. 46
4.4 Lyapunov analysis of linear time-invariant systems	p. 51
5 Advanced stability theory	p. 55
5.1 Positive real systems	p. 55
5.2 Absolute stability and circle criterion	p. 59
5.3 Input-to-state stability and small gain theorem	p. 65
5.4 Differential stability	p. 71
6 Feedback linearisation	p. 75
6.1 Input-output linearisation	p. 75
6.2 Full-state feedback linearisation	p. 83
7 Adaptive control of linear systems	p. 89
7.1 MRAC of first-order systems	p. 90
7.2 Model reference control	p. 94
7.3 MRAC of linear systems with relative degree 1	p. 99
7.4 MRAC of linear systems with high relatives	p. 102
7.5 Robust adaptive control	p. 103
8 Nonlinear observer design	p. 109
8.1 Observer design for linear systems	p. 109
8.2 Linear observer error dynamics with output injection	p. 111
8.3 Linear observer error dynamics via direct state transformation	p. 120
8.4 Observer design for Lipschitz nonlinear systems	p. 122
8.5 Reduced-order observer design	p. 127
8.6 Adaptive observer design	p. 136
9 Backstepping design	p. 141
9.1 Integrator backstepping	p. 141
9.2 Iterative backstepping	p. 144
9.3 Observer backstepping	p. 147
9.4 Backstepping with filtered transformation	p. 152
9.5 Adaptive backstepping	p. 159
9.6 Adaptive observer backstepping	p. 167
10 Disturbance rejection and output regulation	p. 175
10.1 Asymptotic rejection of sinusoidal disturbances	p. 175
10.2 Adaptive output regulation	p. 186
10.3 Output regulation with nonlinear exosystems	p. 194
10.4 Asymptotic rejection of general periodic disturbances	p. 204
11 Control applications	p. 219
11.1 Harmonics estimation and rejection in power distribution systems	p. 219
11.1.1 System model	p. 220
11.1.2 Iterative observer design for estimating frequency modes in input	p. 224
11.1.3 Estimation of specific frequency modes in input	p. 232
11.1.4 Rejection of frequency modes	p. 234
11.1.5 Example	p. 235
11.2 Observer and control design for circadian rhythms	p. 238
11.2.1 Circadian model	p. 239
11.2.2 Lipschitz observer design	p. 241
11.2.3 Phase control of circadian rhythms	p. 243
11.3 Sampled-data control of nonlinear systems	p. 247
11.3.1 System model and sampled-data control	p. 249
11.3.2 Stability analysis of sampled-data systems	p. 251
11.3.3 Simulation	p. 260
Bibliographical Notes	p. 263
References	p. 268
Index	p. 275

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