Wu, Shi, and Su present up-to-date research developments and novel methodologies on the sliding mode control (SMC) of uncertain parameter-switching, hybrid systems in a unified matrix inequality setting. They cover Markovian jump singular systems, switched state-delayed hybrid systems, and switched stochastic hybrid systems. The topics include state estimation and SMC of Markovian jump singular systems, SMC of Markovian jump singular systems with stochastic perturbation, the stability and stabilization of switched state-delayed hybrid systems, SMC of switched state-delayed hybrid systems in continuous-time and discrete-time cases, the control of switched stochastic hybrid systems in the continuous-time and discrete-time cases, and SMC with dissipativity of switched stochastic hybrid systems. Annotation ©2014 Ringgold, Inc., Portland, OR (protoview.com)
Presents new, state-of-the-art sliding mode control (SMC) methodologies for uncertain parameter-switching hybrid systems
Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems presentsnew, state-of-the-art sliding mode control (SMC) methodologies for uncertain parameter-switching hybrid systems (including Markovian jump systems, switched hybrid systems, singular systems, stochastic systems and time-delay systems).
The first part of this book establishes a unified framework for SMC of Markovian jump singular systems and proposes new SMC methodologies based on the analysis results. In the second part, the problem of SMC of switched state-delayed hybrid systems is investigated, and finally the parallel theories and techniques that have been developed are extended to deal with switched stochastic hybrid systems.
Solved problems with new approaches for analysis and synthesis of continuous- and discrete-time switched hybrid systems, (including stability analysis and stabilization, dynamic output feedback control,) are also included throughout.
- Presents new, state-of-the-art sliding mode control (SMC) methodologies for uncertain parameter-switching hybrid systems
- Provides a unified, systematic framework for handling SMC problems
- Introduces new concepts, models and techniques
- Includes solved problems throughout
Series Preface |
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xi | |
Preface |
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xiii | |
Acknowledgments |
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xv | |
Abbreviations and Notations |
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xvii | |
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1 | (34) |
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1 | (15) |
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1.1.1 Fundamental Theory of SMC |
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1 | (12) |
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1.1.2 Overview of SMC Methodologies |
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13 | (3) |
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1.2 Uncertain Parameter-Switching Hybrid Systems |
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16 | (9) |
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1.2.1 Analysis and Synthesis of Switched Hybrid Systems |
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16 | (7) |
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1.2.2 Analysis and Synthesis of Markovian Jump Linear Systems |
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23 | (2) |
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1.3 Contribution of the Book |
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25 | (1) |
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26 | (9) |
Part One SMC Of Markovian Jump Singular Systems |
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2 State Estimation and SMC of Markovian Jump Singular Systems |
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35 | (14) |
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35 | (1) |
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2.2 System Description and Preliminaries |
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36 | (1) |
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2.3 Stochastic Stability Analysis |
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37 | (3) |
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40 | (6) |
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2.4.1 Observer and SMC Law Design |
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40 | (2) |
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2.4.2 Sliding Mode Dynamics Analysis |
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42 | (4) |
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46 | (2) |
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48 | (1) |
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3 Optimal SMC of Markovian Jump Singular Systems with Time Delay |
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49 | (16) |
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49 | (1) |
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3.2 System Description and Preliminaries |
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50 | (1) |
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3.3 Bounded L2 Gain Performance Analysis |
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51 | (4) |
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55 | (6) |
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3.4.1 Sliding Mode Dynamics Analysis |
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55 | (5) |
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60 | (1) |
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61 | (3) |
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64 | (1) |
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4 SMC of Markovian Jump Singular Systems with Stochastic Perturbation |
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65 | (22) |
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65 | (1) |
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4.2 System Description and Preliminaries |
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66 | (1) |
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67 | (4) |
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4.3.1 Sliding Mode Dynamics Analysis |
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67 | (3) |
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70 | (1) |
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4.4 Optimal Hinfinity Integral SMC |
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71 | (7) |
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4.4.1 Performance Analysis and SMC Law Design |
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71 | (6) |
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4.4.2 Computational Algorithm |
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77 | (1) |
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78 | (6) |
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84 | (3) |
Part Two SMC Of Switched State-Delayed Hybrid Systems |
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5 Stability and Stabilization of Switched State-Delayed Hybrid Systems |
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87 | (20) |
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87 | (1) |
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5.2 Continuous-Time Systems |
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88 | (7) |
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88 | (1) |
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89 | (5) |
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5.2.3 Illustrative Example |
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94 | (1) |
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5.3 Discrete-Time Systems |
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95 | (9) |
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95 | (1) |
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96 | (7) |
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5.3.3 Illustrative Example |
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103 | (1) |
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104 | (3) |
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6 Optimal DOF Control of Switched State-Delayed Hybrid Systems |
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107 | (34) |
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107 | (1) |
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6.2 Optimal L2-Linfinity DOF Controller Design |
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108 | (17) |
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6.2.1 System Description and Preliminaries |
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108 | (1) |
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109 | (12) |
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6.2.3 Illustrative Example |
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121 | (4) |
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6.3 Guaranteed Cost DOF Controller Design |
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125 | (15) |
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6.3.1 System Description and Preliminaries |
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125 | (1) |
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126 | (10) |
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6.3.3 Illustrative Example |
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136 | (4) |
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140 | (1) |
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7 SMC of Switched State-Delayed Hybrid Systems: Continuous-Time Case |
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141 | (18) |
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141 | (1) |
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7.2 System Description and Preliminaries |
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142 | (1) |
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143 | (8) |
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7.3.1 Sliding Mode Dynamics Analysis |
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143 | (4) |
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147 | (4) |
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151 | (6) |
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157 | (2) |
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8 SMC of Switched State-Delayed Hybrid Systems: Discrete-Time Case |
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159 | (16) |
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159 | (1) |
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8.2 System Description and Preliminaries |
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160 | (1) |
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161 | (8) |
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8.3.1 Sliding Mode Dynamics Analysis |
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161 | (6) |
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167 | (2) |
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169 | (2) |
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171 | (4) |
Part Three SMC Of Switched Stochastic Hybrid Systems |
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9 Control of Switched Stochastic Hybrid Systems: Continuous-Time Case |
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175 | (22) |
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175 | (1) |
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9.2 System Description and Preliminaries |
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176 | (2) |
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9.3 Stability Analysis and Stabilization |
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178 | (4) |
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182 | (8) |
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9.4.1 Hinfinity Performance Analysis |
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182 | (3) |
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9.4.2 State Feedback Control |
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185 | (1) |
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9.4.3 Hinfinity DOF Controller Design |
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186 | (4) |
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190 | (5) |
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195 | (2) |
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10 Control of Switched Stochastic Hybrid Systems: Discrete-Time Case |
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197 | (18) |
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197 | (1) |
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10.2 System Description and Preliminaries |
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197 | (2) |
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10.3 Stability Analysis and Stabilization |
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199 | (6) |
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205 | (5) |
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10.5 Illustrative Example |
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210 | (4) |
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214 | (1) |
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11 State Estimation and SMC of Switched Stochastic Hybrid Systems |
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215 | (18) |
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215 | (1) |
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11.2 System Description and Preliminaries |
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215 | (2) |
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217 | (3) |
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11.3.1 Sliding Mode Dynamics Analysis |
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217 | (2) |
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219 | (1) |
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11.4 Observer-Based SMC Design |
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220 | (6) |
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11.5 Illustrative Example |
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226 | (6) |
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232 | (1) |
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12 SMC with Dissipativity of Switched Stochastic Hybrid Systems |
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233 | (18) |
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233 | (1) |
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12.2 Problem Formulation and Preliminaries |
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234 | (2) |
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12.2.1 System Description |
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234 | (1) |
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235 | (1) |
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12.3 Dissipativity Analysis |
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236 | (5) |
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12.4 Sliding Mode Control |
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241 | (5) |
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12.4.1 Sliding Mode Dynamics |
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241 | (1) |
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12.4.2 Sliding Mode Dynamics Analysis |
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242 | (3) |
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245 | (1) |
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12.5 Illustrative Example |
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246 | (4) |
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250 | (1) |
References |
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251 | (12) |
Index |
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263 | |
Ligang Wu received the PhD degree in Control Theory and Control Engineering in 2006 from Harbin Institute of Technology, China. He was a Research Associate at Imperial College London, UK, and The University of Hong Kong, Hong Kong; a Senior Research Associate at City University of Hong Kong, Hong Kong. Now, he is a Professor of Control Science and Engineering at Harbin Institute of Technology, Harbin, China. Prof. Wus current research interests include sliding mode control, switched hybrid systems, optimal control and filtering, aircraft control, and model reduction. Prof. Wu has been in the editorial board of a number of international journals, including IEEE Transactions on Automatic Control, IEEE Access, Information Sciences, Signal Processing, IET Control Theory and Applications, Circuits Systems and Signal Processing, Multidimensional Systems and Signal Processing, and Neurocomputing. He is also an Associate Editor for the Conference Editorial Board, IEEE Control Systems Society.
Peng Shi received the PhD degree in Electrical Engineering from the University of Newcastle, Australia; the PhD degree in Mathematics from the University of South Australia; and the DSc degree from the University of Glamorgan, UK. He was a lecturer at the University of South Australia; a senior scientist in the Defence Science and Technology Organisation, Australia; and a professor at the University of Glamorgan, UK. Now, he is a professor at The University of Adelaide; and Victoria University, Australia. Prof. Shi's research interests include system and control theory, computational intelligence, and operational research. Prof. Shi is a Fellow of the Institution of Engineering and Technology, and a Fellow of the Institute of Mathematics and its Applications. He has been in the editorial board of a number of international journals, including IEEE Transactions on Automatic Control; Automatica; IEEE Transactions on Fuzzy Systems; IEEE Transactions on Cybernetics; and IEEE Transactions on Circuits and Systems-I.
Xiaojie Su was born in Henan, China, in 1985. He received the B.E. degree in automation from Jiamusi University, Jiamusi, China, in 2008, the M.S. degree in Control Science and Engineering from Harbin Institute of Technology, Harbin, China, in 2010, and the PhD degree in Control Science and Engineering from Harbin Institute of Technology, Harbin, China, in 2013. Currently, he is a Professor of College of Automation at Chongqing University, Chongqing, China. His research interests include sliding mode control, robust filtering, T-S fuzzy systems, and model reduction. As a Guest Editor, he has organized two special issues in Mathematical Problems in Engineering and Abstract and Applied Analysis, respectively.