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Stabilization of Enforced Positive Switched Linear Systems with Bounded Controls

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  • Control Theory and Applications
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Abstract

This paper is concerned with the controller synthesis issue for enforced positive switched linear systems via output feedback. First, the stabilization problem is studied with output feedback under average dwell time switching signal, and the controllers we proposed guarantee stability and positivity of the closed-loop systems. Second, the output feedback stabilization issue is investigated by introducing special form of diagonal matrices, and the constraints on states and control inputs are solved based on limited initial conditions. Then, the derived conditions are described via linear programming, also extending the theoretical findings to constrained output issue. Finally, the simulation results demonstrate the feasibility of the control strategy.

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Authors and Affiliations

  1. Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450046, China

    Jinjin Liu

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  1. Jinjin Liu
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Correspondence to Jinjin Liu.

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Recommended by Associate Editor Ohmin Kwon under the direction of Editor Jessie (Ju H.) Park. This work was supported in part by the National Natural Science Foundation of China (Nos.61803144, 61873314, 11872175), in part by the Key Scientific Research Projects for Colleges and Universities of Henan Province (No.19A120001), and the Open Research Project of the State Key Laboratory of Industrial Control Technology, Zhejiang University, China (No.ICT20013).

Jinjin Liu received her M.S. degree from the College of Mathematics and Information Science, Henan Normal University, in 2011, and a Ph.D. degree from the School of Automation, Southeast University, in 2015. In 2015, she joined the School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou. In 2018, she was a Visiting Scholar with the School of Control Science and Engineering, Zhejiang University. Her research interests include control synthesis of positive systems and optimal control of switched systems.

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Liu, J. Stabilization of Enforced Positive Switched Linear Systems with Bounded Controls. Int. J. Control Autom. Syst. 19, 607–617 (2021). https://doi.org/10.1007/s12555-019-0755-4

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  • DOI: https://doi.org/10.1007/s12555-019-0755-4

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