Robust finite-time sliding mode control for discrete-time singular system with time-varying delays |
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| Authors: | Yinghong Zhao Yangfan Liu Yuechao Ma |
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| Institution: | 1. College of Sciences, Northeastern University, Shenyang, Liaoning province 110819, PR China;2. The State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning province 110819, PR China;1. College of Information Science and Engineering, Northeastern University, Shenyang 110819, China;2. Department of Automation, Qufu Normal University, Rizhao 276826, Shandong, China;1. School of Mathematics Science,University of Jinan, Jinan 250022, PR China;2. School of Information Science and Electrical Engineering, Shandong Jiaotong University, Jinan 250357, PR China |
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| Abstract: | This paper explores the finite-time bounded issue for discrete-time singular time-varying delay system via sliding mode control method. A suitable discrete-time sliding mode control law is constructed to drive the state trajectories onto the specified sliding surface in a given finite time interval. Meanwhile, sufficient conditions for finite-time bounded to the closed-loop delayed system are provided in both reaching phase and sliding motion phase. In addition, the finite-time sliding mode controller gain matrix can be solved by using the linear matrix inequalities approach. Finally, three numerical examples are illustrated to demonstrate the superiority and practicability of presented results. |
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