Finite-time H_∞ control for discrete-time switched singular time-delay systems subject to actuator saturation via static output feedback

ABSTRACT

This study employs the multiple Lyapunov-like function method and the average dwell-time concept of switching signal to investigate the finite-time H_∞ static output-feedback (SOF) control problem for a class of discrete-time switched singular time-delay systems subject to actuator saturation. First, sufficient conditions are presented to guarantee the discrete-time switched singular time-delay system regular, causal and finite-time boundedness. Meanwhile, sufficient conditions are presented to ensure the H_∞ disturbance attenuation level, and the design method of H_∞ SOF controller is developed by solving matrix inequalities optimisation problem without any decompositions of system matrices and equivalent transformation. Finally, the effectiveness and merit of the theoretical results are shown through some numerical examples and several vivid illustrations.

Keywords:

• Finite-time H_∞ control
• static output-feedback control
• discrete-time switched systems
• singular time-delay systems
• actuator saturation

Acknowledgments

This work was supported by the National Natural Science Foundation of China No. 61273004, and the Natural Science Foundation of Hebei province No. F2014203085. The authors would like to thank the editor and anonymous reviewers for their many helpful comments and suggestions to improve the quality of this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 61273004]; the Natural Science Foundation of Hebei province [grant number F2014203085].

Notes on contributors

Yuechao Ma

Yuechao Ma was born in 1963. He received his PhD degree from Northeast University, Shenyang, China, in 2006. He is currently a full professor in the School of College of Science, Yanshan University, China. His current research interests include linear and nonlinear control, neural networks, robust control and timedelay system theory.

Lei Fu

Lei Fu was born in 1988. She received her MS degree from Yanshan University, Qinhuangdao, China, in 2015. She is currently pursuing her PhD degree in the Institute of Electrical Engineering, Yanshan University, China. Her research interests include stability and control theory of the singular systems.