Han Yueqiao, Kao Yonggui, Gao Cunchen, Zhao Jingjing, Wang Changhong
Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai, 264209, PR China; School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, PR China.
Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai, 264209, PR China.
ISA Trans. 2019 Jun;89:12-19. doi: 10.1016/j.isatra.2018.12.018. Epub 2018 Dec 18.
The finite-time boundedness issue for a class of discrete switched systems with time-varying delays is investigated via sliding mode control (SMC) approach. By employing the Lyapunov functional and average dwell time method, new sufficient conditions are derived to guarantee the finite-time boundedness of the dynamic system in the novel sliding surface. By solving an optimization problem, the sliding mode controller is synthesized such that the discrete reaching condition is satisfied and the chattering is reduced. A simulation example tests the feasibility of the provided SMC scheme.
通过滑模控制（SMC）方法研究了一类具有时变延迟的离散切换系统的有限时间有界性问题。利用李雅普诺夫泛函和平均驻留时间方法，推导出新的充分条件，以保证动态系统在新型滑模面内的有限时间有界性。通过求解一个优化问题，合成了滑模控制器，使得离散到达条件得到满足且抖振得以降低。一个仿真例子验证了所提SMC方案的可行性。
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