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Event-triggered Control for Switched Affine Linear Systems

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Abstract

Event-triggered control problem for switched affine linear systems with a state-dependent switching law is addressed in this paper. By constructing a piecewise differential Lyapunov function with time-scheduled matrices, an event-triggered scheme and a switching signal are proposed. The switching signal depends on the state of the trigger instant. A sufficient condition is developed to ensure that the switched affine system exponentially convergences to a small neighborhood of the desired equilibrium point. The proposed result is then generated to a disturbance attenuation performance analysis. The results are presented in the form of linear matrix inequalities (LMIs). Finally, two examples are provided to illustrate the effectiveness of the proposed results.

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Author information

Authors and Affiliations

  1. Hongsheng Hu is with the National-Local Joint Engineering Laboratory for Digitalize Electrical Design Technology, Wenzhou University, Wenzhou, 325035, China

    Hongsheng Hu

  2. Shipei Huang is with the National-Local Joint Engineering Laboratory for Digitalize Electrical Design Technology, Wenzhou University, Wenzhou, 325035, China

    Shipei Huang

  3. Zhengjiang Zhang is with the National-Local Joint Engineering Laboratory for Digitalize Electrical Design Technology, Wenzhou University, Wenzhou, 325035, China

    Zhengjiang Zhang

Authors
  1. Hongsheng Hu
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  2. Shipei Huang
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Corresponding author

Correspondence to Shipei Huang.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This work was supported by the National Natural Science Foundation of China under Grant Nos. 61703310 and 61703309.

Hongsheng Hu received his B.S. degree in the Electrical Engineering and its Automation from Huainan Normal University, China, 2018. He is currently a candidate for an M.S. degree at the Wenzhou University. His research interests include switched systems, robust control and intelligent control.

Shipei Huang received his Ph.D. degree in Control Theory and Control Engineering from Nanjing University of Science and Technology, China, in 2017. He is currently a lecturer at Wenzhou University, China. He has published over 20 journal and conference papers. His research interests include nonlinear systems, switched systems and two-dimensional systems.

Zhengjiang Zhang received his Ph.D. degree in Control Science and Engineering from Zhejiang University, China, in 2010. He is currently an associate professor at Wenzhou University, China. He has published over 30 journal and conference papers. His research interests include data reconciliation, parameter estimation, process control, optimization, and power electronics.

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Hu, H., Huang, S. & Zhang, Z. Event-triggered Control for Switched Affine Linear Systems. Int. J. Control Autom. Syst. 18, 2867–2878 (2020). https://doi.org/10.1007/s12555-019-0825-7

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  • DOI: https://doi.org/10.1007/s12555-019-0825-7

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