文献类型：期刊文献

英文题名：Non-fragile reliable control of nonlinear positive semi-Markovian jump systems with nonlinear actuator faults

作者：Liu, Jinjin[1];Song, Chunyue[2];Li, Zhiqiang[1];Zhang, Ting[1]

第一作者：Liu, Jinjin

通讯作者：Liu, JJ[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China;[2]Zhejiang Univ, Inst Ind Proc Control, State Key Lab Ind Control Technol, Hangzhou, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：0

外文期刊名：ASIAN JOURNAL OF CONTROL

收录：;EI(收录号：20221712030406);Scopus(收录号：2-s2.0-85128702329);WOS:【SCI-EXPANDED(收录号:WOS:000787077600001)】；

基金：National Natural Science Foundation of China, Grant/Award Number: 61803144

语种：英文

外文关键词：linear programming; nonlinear actuator faults; nonlinear positive semi-Markovian jump systems

摘要：This paper investigates the non-fragile reliable control of nonlinear positive semi-Markovian jump systems with nonlinear actuator faults. First, a novel fault model consisting of linear and nonlinear terms is established for the systems. By constructing a stochastic co-positive Lyapunov function, the non-fragile reliable controller is designed for the systems with additive gain perturbations using matrix decomposition technique. Then, the proposed design is extended for dealing with multiplicative gain perturbations and variable gain perturbations. Under the designed controllers, the resulting closed-loop systems are positive and stochastically stable. All presented conditions are solvable in terms of linear programming. Finally, two illustrative examples are provided to verify the effectiveness of the theoretical results.