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E-raamat: Analysis and Design of Reset Control Systems

(Nanyang Technological University, School of Electrical and Electronic Engineering, Singapore), (Nanyang Technological University, School of El), (Central South University, School of Information Science and Engineering, Changsha, China)
  • Formaat: EPUB+DRM
  • Sari: Control, Robotics and Sensors
  • Ilmumisaeg: 03-Feb-2016
  • Kirjastus: Institution of Engineering and Technology
  • Keel: eng
  • ISBN-13: 9781849197045
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Analysis and Design of Reset Control SystemsSuurem pilt
  • Formaat: EPUB+DRM
  • Sari: Control, Robotics and Sensors
  • Ilmumisaeg: 03-Feb-2016
  • Kirjastus: Institution of Engineering and Technology
  • Keel: eng
  • ISBN-13: 9781849197045
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Reset control is concerned with how to reset a system when it is disturbed to overcome the inherent limitations of linear feedback control and to improve robustness. It has found applications in many practical systems including flexible mechanical systems, tapespeed control systems and high precision positioning systems.



This book provides an introduction to the theory of reset control, and draws on the authors' own research and others' to explore the application of reset control in a variety of settings, with an emphasis on hard disk drive servo systems.



Topics covered include the motivation and basic concepts of reset control systems; derivation of the describing function of reset systems; how the reset matrix affects the frequency domain property of a system; recent developments on stability analysis of reset control systems; robust stability of reset control systems with uncertainties; reset control systems with discrete-time reset conditions; optimal reset control design under fixed reset time instants; and reset control systems with conic jump sets.



This book is essential reading for researchers, postgraduates and advanced students in control theory, and for research-based engineers who are interested in the theory of hybrid control systems and their engineering applications.
List of figures
viii
List of table
xi
Preface xii
Acknowledgments xiv
1 Introduction
1(26)
1.1 Motivation of reset control
1(9)
1.2 Basic concepts of RCSs
10(7)
1.2.1 Preliminaries and problem setup
10(3)
1.2.2 Solutions to RCSs
13(2)
1.2.3 RCSs with discrete-time reset conditions
15(2)
1.3 Fundamental theory of traditional reset design
17(7)
1.3.1 Horowitz's design
17(5)
1.3.2 PI+CI reset design
22(2)
Notes
24(1)
References
24(3)
2 Describing function analysis of reset systems
27(24)
2.1 Sinusoid input response
27(5)
2.2 Describing function
32(9)
2.2.1 General case
32(6)
2.2.2 Gain-balanced FORE
38(3)
2.3 Application to HDD systems
41(7)
2.3.1 Reset narrow band compensator (RNBC)
41(2)
2.3.2 Mid-frequency disturbance compensation
43(3)
2.3.3 Simulation results
46(2)
Notes
48(1)
References
48(3)
3 Stability of reset control systems
51(32)
3.1 Preliminaries
51(6)
3.1.1 Annihilator of matrices
51(1)
3.1.2 Passive systems
52(5)
3.2 Quadratic stability
57(6)
3.3 Stability of RCSs with time-delay
63(4)
3.4 Reset times-dependent stability
67(10)
3.5 Passivity of RCSs
77(4)
Notes
81(1)
References
82(1)
4 Robust stability of reset control systems
83(32)
4.1 Definitions and assumptions
83(3)
4.2 Quadratic stability
86(7)
4.2.1 RCSs with low-dimensional plants (np ≤ 2)
87(2)
4.2.2 High-dimensional cases
89(4)
4.3 Affine quadratic stability
93(3)
4.4 Robust stability of RCS with time-delay
96(10)
4.5 Examples
106(6)
Notes
112(1)
References
112(3)
5 RCSs with discrete-time reset conditions
115(18)
5.1 Preliminaries and problem setting
116(2)
5.2 Stability analysis
118(4)
5.3 A heuristic design method
122(3)
5.4 Application to track-seeking control of HDD systems
125(5)
5.4.1 System description
125(1)
5.4.2 Baseline controller design
126(1)
5.4.3 Reset mode
127(1)
5.4.4 Stability analysis
127(1)
5.4.5 Simulation results
128(2)
Notes
130(1)
References
130(3)
6 Reset control systems with fixed reset instants
133(36)
6.1 Stability analysis
133(4)
6.1.1 Stability analysis through induced discrete systems
133(2)
6.1.2 Lie-algebraic condition
135(2)
6.2 Moving horizon optimization
137(5)
6.2.1 Trade-off between stability and other performances
140(1)
6.2.2 Observer-based reset control
141(1)
6.3 Optimal reset law design
142(7)
6.3.1 Equivalence between ORL and LQR
144(3)
6.3.2 Solutions to ORL problems
147(2)
6.4 Application to HDD systems
149(11)
6.4.1 Dynamics model of HDD systems
149(1)
6.4.2 Moving horizon optimal reset control
150(3)
6.4.3 Optimal reset control
153(7)
6.5 Application to PZT-positioning stage
160(6)
6.5.1 Modeling of the PZT-positioning stage
160(1)
6.5.2 Reset control design
161(1)
6.5.3 Experimental results
162(4)
Notes
166(1)
References
167(2)
7 Reset control systems with conic jump sets
169(14)
7.1 Basic idea
169(3)
7.2 L2-gain analysis
172(8)
7.2.1 Passification via reset
174(4)
7.2.2 Finite L2 gain stability
178(2)
Notes
180(1)
References
180(3)
Index 183
Yuqian Guo is a Professor at the School of Information Science and Engineering, Central South University, Changsha, China. His research interests include hybrid control systems, nonlinear systems control and complex networks.



Lihua Xie is a Professor and the Head of Control and Instrumentation Division at the School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore. His research interests include robust control and estimation, networked control systems, multi-agent networks, and disk drive servo. In these areas, he has published over 210 journal papers and co-authored two patents and four books. He has served as an Associate Editor of a number of journals and is Fellow of IEEE and IFAC.



Youyi Wang is a Professor in the School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore. He has published over 240 international journal and conference papers on system theory, stability analysis, information storage systems, power and energy systems and control theory applications. Currently, Dr. Wang is Deputy Directors of Protective Technology Research Center (NTUMINDEF) and Center for Smart Energy Systems and Principal Investigator of Center for Mechanics of Micro-Systems, and a senior member of IEEE Control Systems Society and IEEE Power Engineering Society.
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