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Delay-dependent Robust Dissipative Control for Singular LPV Systems with Multiple Input Delays

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  • Control Theory and Applications
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Abstract

This paper addresses the robust dissipative control problem for the singular linear parameter-varying (LPV) systems with multiple input time-delays. First, by constructing the parameter-dependent Lyapunov functional, a delay-dependent robust dissipativity criterion for singular LPV systems with multiple state time-delays is proposed. Second, on the basis of linear matrix inequalities (LMIs) technique, a novel delay-dependent robust dissipativity-based controller for the singular LPV delay systems is designed. Furthermore, it is proved that the resultant closed-loop system via state feedback controller is admissible and strictly robustly (Q,S,R)-dissipative. Finally, the effectiveness of the proposed method is demonstrated by three numerical examples.

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Authors and Affiliations

  1. School of Mathematical Science, and the Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, 150080, China

    Xin Wang, Xian Zhang & Xiaona Yang

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  1. Xin Wang
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  2. Xian Zhang
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  3. Xiaona Yang
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Corresponding author

Correspondence to Xian Zhang.

Additional information

Recommended by Associate Editor Zheng-Guang Wu under the direction of Editor PooGyeon Park. This work was supported in part by the National Natural Science Foundation of China (Grant no. 61703148), the Natural Science Foundation of Heilongjiang Province (Grant no. QC2018083), and the Fundamental Research Funds for the Colleges and Universities in Heilongjiang Province (Grant nos. RCCX201715, RCCX201717, and RCCXYJ201813). The authors thank the Editor, Associate Editor, and anonymous referees for their many insightful and constructive comments that have resulted in significant improvements in the article.

Xin Wang received the B.S. and M.S. degrees in School of Mathematical Science from Heilongjiang University, Harbin, China, in 2008 and 2011, respectively, and the Ph.D. degree in navigation guidance and control from Northeastern University, Shenyang, China, in 2016. He is currently a Lecturer with the School of Mathematical Science, Heilongjiang University, Harbin, China. Dr. Xin Wang is a Visiting Professor at the University of Victoria from November 2017 to October 2018. His research interests include fault diagnosis, fault-tolerant control, multiagent coordination, and time-delay systems.

Xian Zhang received his Ph.D. degree in Control Theory from Queen’s University of Belfast in UK in 2004. Since 2004 he has been at Heilongjiang University, where he is currently a Professor in the School of Mathematical Science. His current research interests include neural networks, genetic regulatory networks, mathematical biology and stability analysis of delayed dynamic systems. He has received the Second Class of Science and Technology Awards of Heilongjiang Province. He is a senior member of the IEEE, and a Vice President of Mathematical Society of Heilongjiang Province. Since 2006, he served as an Editor of the Journal of Natural Science of Heilongjiang University. He has authored more than 100 research papers.

Xiaona Yang received the B.S. and M.S. degrees from the School of Mathematical Science at Heilongjiang University, Harbin, China, in 2008 and 2011, respectively, and the Ph.D. degree in Statistics from Nankai University, Tianjin, China, in 2017. She is currently a Lecturer with the School of Mathematical Science, Heilongjiang University, Harbin, China. Her research interests include statistical process control and quality improvement, high-dimensional data analysis.

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Wang, X., Zhang, X. & Yang, X. Delay-dependent Robust Dissipative Control for Singular LPV Systems with Multiple Input Delays. Int. J. Control Autom. Syst. 17, 327–335 (2019). https://doi.org/10.1007/s12555-018-0237-0

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  • DOI: https://doi.org/10.1007/s12555-018-0237-0

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