Observed-Based Asynchronous Control of Linear Semi-Markov Jump Systems With Time-Varying Mode Emission Probabilities

被引：46

作者：

Tian, Yongxiao ^{[1
]}

Yan, Huaicheng ^{[2
,3
]}

Dai, Wei ^{[4
]}

Chen, Shiming ^{[5
]}

Zhan, Xisheng ^{[6
]}

机构：

[1] East China Univ Sci & Technol, Sch Informat Sci & Engn, Shanghai 200237, Peoples R China

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

[3] Tongji Univ, Shanghai Inst Intelligent Sci & Technol, Shanghai 201804, Peoples R China

[4] China Univ Min & Technol, Sch Informat & Control Engn, Xuzhou 221116, Jiangsu, Peoples R China

[5] East China Jiaotong Univ, Sch Elect & Automat Engn, Nanchang 330013, Jiangxi, Peoples R China

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

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2020年 / 67卷 / 12期

基金：

中国国家自然科学基金;

关键词：

RLC circuits; Observers; Switches; Markov processes; Process control; Asynchronous; emission probabilities; hidden modes; observable modes; observer-based control; semi-Markov jump systems (SM[!text type='JS']JS[!/text]s); STABILIZATION; STABILITY; SOJOURN;

D O I：

10.1109/TCSII.2020.2973242

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This brief is concerned with the problem of observed-based asynchronous control for a class of semi-Markov jump systems (SMJSs) in continuous-time domain. There exists an asynchronous phenomenon between the system modes and the controller modes due to the limitations of the actual environment. System modes and controller modes are usually described as hidden modes and observable modes, respectively. Their relationship can be exhibited by emission probabilities. In this brief, a hidden semi-Markov model is used to describe such phenomenon. A conventional approach is employed and an improved result is derived to solve observed-based control problem. Based on a common Lyapunov function, an observed-based asynchronous control law depending on the observable mode is synthesized to ensure the stochastic stability of the closed-loop system. Finally, a practical RLC circuit system example is provided to illustrate the effectiveness and merits of the proposed methods.

引用

页码：3147 / 3151

页数：5

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