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Event-Triggered Control of Discrete-Time Switched Linear Systems via Communication Channels with Limited Capacity

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Recent Advances in Control Problems of Dynamical Systems and Networks

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 301))

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Abstract

This chapter considers the state feedback control problem for discrete-time switched linear systems via communication channels with limited capacity. It is assumed that the controller only accesses the successfully event-triggered transmitted signal of switching mode and system state. Considering the signal transmission delays and packet dropout respectively, switching mode based event-triggered transmission conditions are proposed to mitigate the unnecessary data transmission. Based on the new switching signal generated by merging the original switching signal with event-triggering transmitted signal, the closed-loop systems become switched systems with time delay. Then, utilizing the average dwell time technical and multiple Lyapunov functional methods, exponential stability conditions for the closed-loop systems are derived. Furthermore, linear matrix inequalities based co-design methods of event-trigger parameters and state feedback controller gains are proposed. Numerical examples illustrate the effectiveness of obtained results.

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Acknowledgements

The authors would be very grateful for the support of Jiangsu Overseas Visiting Scholar Program for University Prominent Young & Middle-aged Teachers and Presidents, Six Talent Peaks Project of Jiangsu (No. DZXX-044) and Nantong 226 High-level Talents Project. The work of Xiaoqing Xiao was also supported by China Scholarship Council (CSC NO. 201908320096), National Natural Science Foundation of China(Nos. 61374061, 61403216 and 61573201). Also, the work of J.H. Park was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (Ministry of Science and ICT) (No. 2019R1A5A808029011).

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Authors and Affiliations

  1. School of Information Science and Technology, Nantong University, Nantong, 226019, Jiangsu, People’s Republic of China

    Xiaoqing Xiao & Lei Zhou

  2. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Gyeongsan, 38541, Republic of Korea

    Ju H. Park

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  1. Xiaoqing Xiao
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  2. Lei Zhou
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Correspondence to Lei Zhou .

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Editors and Affiliations

  1. Department of Electrical Engineering, Yeungnam University, Kyongsan, Korea (Republic of)

    Ju H. Park

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Xiao, X., Zhou, L., Park, J.H. (2021). Event-Triggered Control of Discrete-Time Switched Linear Systems via Communication Channels with Limited Capacity. In: Park, J. (eds) Recent Advances in Control Problems of Dynamical Systems and Networks. Studies in Systems, Decision and Control, vol 301. Springer, Cham. https://doi.org/10.1007/978-3-030-49123-9_8

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