State and Mode Feedback Control for Discrete-time Markovian Jump Linear Systems With Controllable MTPM

被引：0
|
作者：
Jin Zhu [1 ,2 ]
Qin Ding [2 ]
Maksym Spiryagin [3 ]
Wanqing Xie [4 ]
机构：
[1] IEEE
[2] the Department of Automation, University of Science and Technology of China
[3] the Centre for Railway Engineering, Central Queensland University
[4] the School of Information Science and Technology,University of Science and Technology of China
来源：
IEEE/CAA Journal of Automatica Sinica | 2019年 / 6卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Controllable mode transition probability matrix(MTPM); Markovian jump linear systems(MJLSs); stabilization; system cost;
D O I：
暂无
中图分类号：
TP13 [自动控制理论];
学科分类号：
0711 ; 071102 ; 0811 ; 081101 ; 081103 ;
摘要：
In this note, the state and mode feedback control problems for a class of discrete-time Markovian jump linear systems(MJLSs) with controllable mode transition probability matrix(MTPM) are investigated. In most achievements, controller design of MJLSs pays more attention to state/output feedback control for stability, while the system cost in practice is out of consideration. In this paper, we propose a control mechanism consisting of two parts: finite-path-dependent state feedback controller design with which uniform stability of MJLSs can be ensured, and mode feedback control which aims to decrease system cost. Differing from the traditional state/output feedback controller design, the main novelty is that the proposed control mechanism not only guarantees system stability, but also decreases system cost effectively by adjusting the occurrence probability of system modes. The effectiveness of the proposed mechanism is illustrated via numerical examples.
引用
收藏
页码：830 / 837
页数：8
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