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Control Invariant Sets of Linear Systems with Bounded Disturbances

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  • Control Theory and Applications
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Abstract

In this paper, algorithms to compute robust control invariant sets are proposed for linear continuous-time systems subject to additive but bounded disturbances. Robust control invariant sets of linear time invariant systems are achieved by logarithmic norm. Robust control invariant sets of linear uncertain systems, which are level sets of the storage functions, are obtained by solving functional differential inequality. Simulation shows that the proposed algorithms can yield improved minimal volume robust control invariant sets approximations in comparison with the schemes in the existing literature.

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Authors and Affiliations

  1. State Key Laboratory of Automotive Simulation and Control, and Department of Control Science and Engineering, Jilin University, Jilin, P. R. China

    Shuyou Yu, Yu Zhou, Ting Qu, Fang Xu & Yan Ma

Authors
  1. Shuyou Yu
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  2. Yu Zhou
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  3. Ting Qu
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  4. Fang Xu
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  5. Yan Ma
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Corresponding author

Correspondence to Yan Ma.

Additional information

Recommended by Associate Editor Do Wan Kim under the direction of Editor Myo Taeg Lim. A previous version of part of the paper was presented at the International Conference on Mechatronics and Control, Jinzhou July 3 - 5, 2014. The authors, Shuyou Yu, Ting Qu, Fang Xu, and Yan Ma, gratefully acknowledge support by the National Natural Science Foundation of China (No.61573165, 61520106008).

Shuyou Yu received his B.S. and M.S. degrees in Control Science & Engineering at Jilin University, PR China, in 1997 and 2005, respectively, and his Ph.D. degree in Engineering Cybernetics at the University of Stuttgart, Germany, in 2011. From 2010 to 2011, he was a research and teaching assistant at the Institute for Systems Theory and Automatic Control at the University of Stuttgart. In 2012, he joined the faculty of the Department of Control Science & Engineering at Jilin University, PR China, where he is currently a professor. His main areas of interest are in model predictive control, robust control, and applications in mechatronic systems.

Yu Zhou received her B.S. degree in Electrical Engineering and Automation at Jilin University of Architecture, Changchun, China, in June 2016. Since September 2016, she is studying for a master’s degree in Control Engineering at Jilin University, Changchun, China. Her current research interests include model predictive control, moving horizon estimate.

Ting Qu received her B.S. and M.S. degrees from the Northeast Normal University, Changchun, China, in 2006 and 2008, respectively, and her Ph.D. degree in Control Science and Engineering from Jilin University of China in 2015. Since 2015, she is a Lecturer with the State Key Laboratory of Automotive Simulation and Control at Jilin University, China. Her research interests include model predictive control, driver modeling, and human-machine cooperative control.

Yan Ma received her B.S. degree in Automatica Department at Harbin Engineering University, PR China, in 1992, and her M.S. and Ph.D. degrees in Control Science & Engineering at Jilin University, PR China, in 1995 and 2006, respectively. In 1995, she joined former Jilin University of Technology. From 2007 to 2008, she was a Post doctor at Poly U, Hong Kong. Since 2009, she has been a Professor in Control Science & Engineering at the Jilin University. Her current research interests include nonlinear estimation, optimal and robust control, and applications in battery management system of electric vehicles.

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Yu, S., Zhou, Y., Qu, T. et al. Control Invariant Sets of Linear Systems with Bounded Disturbances. Int. J. Control Autom. Syst. 16, 622–629 (2018). https://doi.org/10.1007/s12555-016-0745-8

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  • DOI: https://doi.org/10.1007/s12555-016-0745-8

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