文献类型：期刊文献

英文题名：Time-varying gain controller synthesis of piecewise homogeneous semi-Markov jump linear systems

作者：Tian, Yongxiao[1];Yan, Huaicheng[1,4];Wang, Meng[1];Zhang, Hao[2];Yi, Jianjun[3]

机构：[1]East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[2]Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China;[3]East China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China;[4]Chengdu Univ, Sch Informat Sci & Engn, Chengdu 610106, Peoples R China

年份：2022

卷号：146

外文期刊名：AUTOMATICA

收录：;EI(收录号：20223912793770);WOS:【SCI-EXPANDED(收录号:WOS:000862683700006)】；

基金：This work is supported by National Natural Science Foundation of China (62103146, 62073143, 61922063, 62003139), Program of Shanghai Academic Research Leader, China (19XD1421000), Shanghai Shuguang Project, China (18SG18), China Postdoctoral Science Foundation Project (2020TQ0096, 2021M690056), Shanghai and Hong Kong-Macao-Taiwan Science and Technology Cooperation Project, China (19510760200), Shanghai Natural Science Foundation, China (20ZR1415200), and Innovation Program of Shanghai Municipal Education Commission, China (2021-01-07-00-02-E00107).

语种：英文

外文关键词：Elapsed time; Mean -square stability; Piecewise homogeneous; Semi-Markov kernel; Semi-Markov jump linear systems; Time -varying gain controller

摘要：This paper is devoted to the time-varying gain controller synthesis problem for a class of discrete-time piecewise homogeneous semi-Markov jump linear systems (SMJLSs). Both sojourn-time probability mass functions and embedded Markov chain transition probability are simultaneously regulated by high-level Markov chain, which leads to a more general piecewise homogeneous semi-Markov kernel. A novel class of multivariate-dependent Lyapunov function is constructed, which is mode-dependent, elapsed-time-dependent, and variation-dependent. The objective of this paper is to design two classes of time-varying gain controllers, i.e., elapsed-time-dependent controller and finite memory controller under bound sojourn time. Numerically testable stabilization criteria are established for discrete -time piecewise homogeneous SMJLSs via the proposed novel Lyapunov function and two classes of controllers. Furthermore, two desired stabilizing controllers are designed such that the closed-loop system is mean-square stable. Finally, the proposed control strategies are applied to a numerical example and a practical example of solar thermal receiver to show the effectiveness and applicability of the theoretical results.(c) 2022 Elsevier Ltd. All rights reserved.