Non‐fragile sliding mode control of discrete switched singular systems with time‐varying delays

IET Control Theory and Applications - Tập 14 Số 5 - Trang 726-737 - 2020
Yueqiao Han1, Chun‐Yi Su2, Yonggui Kao3, Cunchen Gao1
1School of Mathematical Science, Ocean University of China, Qingdao, 266100 People's Republic of China
2Department of Mechanical and Industrial Engineering, Concordia University, Montreal, Quebec, H3G1M8 Canada
3Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai, 264209, People’s Republic of China

Tóm tắt

This study tends to solve the finite‐time boundedness (FTB) problems for discrete switched singular systems with time‐varying delays via a non‐fragile sliding mode approach. The remarkable feature of the provided method is that a new sliding surface function is constructed such that a full‐order dynamic system is acquired. Thus, a non‐fragile sliding mode controller can be proposed to guarantee the FTB of the dynamic system. Therein, by employing the multiple Lyapunov‐like functions and dwell time (DT) method, sufficient conditions and the DT of switching signal are given to ensure the FTB of the sliding mode dynamics. These results are then applied to the FTB issue, being expressed as a solvable optimisation problem. Furthermore, by employing a discrete reaching condition, the proposed sliding mode controller can guarantee the reachability of the quasi‐sliding mode. The validity of the proposed theorems is verified through a numerical example.

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IET Control Theory and Applications

Tập 14 Số 5

726-737

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