文献类型：期刊文献

英文题名：Sliding Mode Control of Markovian Jump Fuzzy Systems: A Dynamic Event-Triggered Method

作者：Cao, Zhiru[1];Niu, Yugang[1];Lam, Hak-Keung[2];Zhao, Jiancong[3]

机构：[1]East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China;[2]Kings Coll London, Dept Engn, London WC2R 2LS, England;[3]East China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China

年份：2021

卷号：29

期号：10

起止页码：2902

外文期刊名：IEEE TRANSACTIONS ON FUZZY SYSTEMS

收录：;EI(收录号：20214111016252);WOS:【SCI-EXPANDED(收录号:WOS:000704125600010)】；

基金：This work was supported in part by the NNSF under Grants 61673174, 61803255 and in part by the 111 Project (B17017) from China.

语种：英文

外文关键词：Sliding mode control; Fuzzy systems; Detectors; Symmetric matrices; Communication networks; Stability analysis; Heuristic algorithms; Dynamic event-triggered mechanism (DETM); Markovian jump systems (MJSs); sliding mode control (SMC); T-S fuzzy model

摘要：In this article, the sliding mode control (SMC) problem is addressed for a class of Markovian jump systems via the T-S fuzzy model. First, in order to reduce the frequency of state transmission for alleviating congestion phenomenon in the bandwidth-limited communication network, a dynamic event-triggered (DET) strategy is introduced into the sensor-to-controller channel, in which an additional internal dynamical variable is employed to adjust the event-triggered condition adaptively. A fundamental issue resulting from the event-triggered strategy is that the controller cannot obtain the information about system mode during the triggering interval. Aiming at the phenomenon, this work utilizes a mode detector to estimate the unavailable system mode. Then, this article proposes a detected-mode-dependent event-triggered sliding mode controller whose membership grades are determined only via the transmitted state at the triggering instant. By constructing a relation on the membership functions (MFs) between the fuzzy model and the controllers for MF-dependent analysis, the conditions on the reachability and stability conditions are relaxed. Furthermore, an optimization algorithm is provided for the minimum control power via a high-dimensional grid searching for the coefficients of the internal dynamic variables, which, together with the designed detected-mode-dependent sliding mode controller, constitutes the novel SMC scheme under the DET strategy. Finally, the simulation results via the single-link arm system are provided to illustrate the efficiency of the proposed method.