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Nonlinear and Adaptive Control Systems [Hardback]

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(The University of Manchester, School of Electrical and Electronic Engineering, Control Systems Centre, UK)
  • Format: Hardback, 288 pages, height x width: 234x156 mm
  • Series: Control, Robotics and Sensors
  • Pub. Date: 04-Apr-2013
  • Publisher: Institution of Engineering and Technology
  • ISBN-10: 1849195749
  • ISBN-13: 9781849195744
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Nonlinear and Adaptive Control SystemsLarger Image
  • Format: Hardback, 288 pages, height x width: 234x156 mm
  • Series: Control, Robotics and Sensors
  • Pub. Date: 04-Apr-2013
  • Publisher: Institution of Engineering and Technology
  • ISBN-10: 1849195749
  • ISBN-13: 9781849195744
Other books in subject:
Permanent link: https://www.kriso.ee/db/9781849195744.html
Keywords:
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; backstepping 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.

Nonlinear and Adaptive Control Systems is of interest to postgraduate students and senior graduate students in control engineering, and in other engineering disciplines relating to dynamic modelling and control, including electrical and electronic engineering, aerospace engineering, and chemical engineering, as well as researchers and engineers working on nonlinear and adaptive control.
Preface ix
1 Introduction to nonlinear and adaptive systems
1(8)
1.1 Nonlinear functions and nonlinearities
1(3)
1.2 Common nonlinear systems behaviours
4(1)
1.3 Stability and control of nonlinear systems
5(4)
2 State space models
9(16)
2.1 Nonlinear systems and Linearisation around an operating point
9(2)
2.2 Autonomous systems
11(1)
2.3 Second-order nonlinear system behaviours
12(6)
2.4 Limit cycles and strange attractors
18(7)
3 Describing functions
25(16)
3.1 Fundamentals
26(3)
3.2 Describing functions for common nonlinear components
29(5)
3.3 Describing function analysis of nonlinear systems
34(7)
4 Stability theory
41(14)
4.1 Basic definitions
41(4)
4.2 Linearisation and local stability
45(1)
4.3 Lyapunov's direct method
46(5)
4.4 Lyapunov analysis of linear time-invariant systems
51(4)
5 Advanced stability theory
55(20)
5.1 Positive real systems
55(4)
5.2 Absolute stability and circle criterion
59(6)
5.3 Input-to-state stability and small gain theorem
65(6)
5.4 Differential stability
71(4)
6 Feedback linearisation
75(14)
6.1 Input-output linearisation
75(8)
6.2 Full-state feedback linearisation
83(6)
7 Adaptive control of linear systems
89(20)
7.1 MRAC of first-order systems
90(4)
7.2 Model reference control
94(5)
7.3 MRAC of linear systems with relative degree 1
99(3)
7.4 MRAC of linear systems with high relatives
102(1)
7.5 Robust adaptive control
103(6)
8 Nonlinear observer design
109(32)
8.1 Observer design for linear systems
109(2)
8.2 Linear observer error dynamics with output injection
111(9)
8.3 Linear observer error dynamics via direct state transformation
120(2)
8.4 Observer design for Lipschitz nonlinear systems
122(5)
8.5 Reduced-order observer design
127(9)
8.6 Adaptive observer design
136(5)
9 Backstepping design
141(34)
9.1 Integrator backstepping
141(3)
9.2 Iterative backstepping
144(3)
9.3 Observer backstepping
147(5)
9.4 Backstepping with filtered transformation
152(7)
9.5 Adaptive backstepping
159(8)
9.6 Adaptive observer backstepping
167(8)
10 Disturbance rejection and output regulation
175(44)
10.1 Asymptotic rejection of sinusoidal disturbances
175(11)
10.2 Adaptive output regulation
186(8)
10.3 Output regulation with nonlinear exosystems
194(10)
10.4 Asymptotic rejection of general periodic disturbances
204(15)
11 Control applications
219(44)
11.1 Harmonics estimation and rejection in power distribution systems
219(19)
11.1.1 System model
220(4)
11.1.2 Iterative observer design for estimating frequency modes in input
224(8)
11.1.3 Estimation of specific frequency modes in input
232(2)
11.1.4 Rejection of frequency modes
234(1)
11.1.5 Example
235(3)
11.2 Observer and control design for circadian rhythms
238(9)
11.2.1 Circadian model
239(2)
11.2.2 Lipschitz observer design
241(2)
11.2.3 Phase control of circadian rhythms
243(4)
11.3 Sampled-data control of nonlinear systems
247(16)
11.3.1 System model and sampled-data control
249(2)
11.3.2 Stability analysis of sampled-data systems
251(9)
11.3.3 Simulation
260(3)
Bibliographical Notes 263(5)
References 268(7)
Index 275
Zhengtao Ding is a Senior Lecturer in Control Engineering and Director for MSc in Advanced Control and Systems Engineering at the Control Systems Centre, School of Electrical and Electronic Engineering, The University of Manchester, UK. His research interests focus on nonlinear and adaptive control design. He pioneered research in asymptotic rejection of general periodic disturbances in nonlinear systems and produced a series of results to systematically solve this problem in various situations. He also made significant contributions in output regulation and adaptive control of nonlinear systems with some more recent results on observer design and output feedback control as well. Dr Ding has been teaching Nonlinear and Adaptive Control Systems to MSc students for 9 years, and he has accumulated tremendous experiences in explaining difficult control concepts to students.