Dynamic output-feedback control of linear semi-Markov jump systems with incomplete semi-Markov kernel

被引：75

作者：

Tian, Yongxiao ^{[1
]}

Yan, Huaicheng ^{[1
,3
]}

Zhang, Hao ^{[2
]}

Zhan, Xisheng ^{[3
]}

Peng, Yan ^{[4
]}

机构：

[1] East China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China

[2] Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China

[3] Hubei Normal Univ, Coll Mechatron & Control Engn, Huangshi 435002, Hubei, Peoples R China

[4] Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China

来源：

AUTOMATICA | 2020年 / 117卷

基金：

中国国家自然科学基金;

关键词：

Dynamic output-feedback control; Incomplete semi-Markov kernel; Linear semi-Markov jump systems; Mean-square stability; STOCHASTIC STABILITY; STABILIZATION; SOJOURN; MODEL;

D O I：

10.1016/j.automatica.2020.108997

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is devoted to the dynamic output-feedback control problem for a class of linear semi-Markov jump systems (SMJSs) in discrete-time domain. A mode-dependent control scheme is employed with an adaptation sense under incomplete semi-Markov kernel, which has been shown to be more practical. By introducing the upper bound of sojourn time for each system mode, numerically testable stabilization criteria are established for discrete-time linear SMJSs via a novel form of Lyapunov function. The adopted Lyapunov matrix depends on the modes and their elapsed time simultaneously. Based on above-mentioned Lyapunov function combined with Projection Lemma, a desired mode-dependent stabilizing controller is designed such that the closed-loop system is mean-square stable. Finally, the theoretical results are applied to a practical example of F-404 aircraft engine system to demonstrate the effectiveness and applicability of the proposed control strategy. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：7

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