Observer-based Ho° control design for singular switching semi-Markovian jump systems with random sensor delays

被引：17
作者：
Wu, Zhengtian [1 ,4 ]
Li, Bo [2 ]
Gao, Cunchen [3 ]
Jiang, Baoping [1 ,4 ]
机构：
[1] Suzhou Univ Sci & Technol, Sch Elect & Informat Engn, Suzhou, Peoples R China
[2] SUNY Stony Brook, Dept Comp Sci, Stony Brook, NY USA
[3] Ocean Univ China, Sch Math Sci, Qingdao, Peoples R China
[4] Suzhou Univ Sci & Technol, Suzhou Inst Smart City, Suzhou, Peoples R China
来源：
ISA TRANSACTIONS | 2022年 / 124卷
关键词：
Singular systems; Semi-markovian jump systems; Linear matrix inequalities; Observer design; Ho? control; SLIDING MODE CONTROL; LINEAR-SYSTEMS; STABILITY ANALYSIS; TRANSITION RATES; INFINITY CONTROL; STABILIZATION;
D O I：
10.1016/j.isatra.2019.09.002
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 studies the problem of Ho degrees control design for a class of singular switching semi-Markovian jump systems, in which the transition rates of jumping process are uncertain and the output measurements suffer from random sensor delays. Firstly, a Luenberger observer is designed to estimate the system state components, based on which an error dynamic is obtained. Then, stochastic stability analysis for the overall closed-loop system is given based on the upper and lower bounds of transition rates. Further, the state feedback controller gain matrices are given by solving a set of sufficient conditions in terms of strict linear matrix inequalities (LMIs), which also guarantee the closed-loop system to be stochastically stabilizable and has a prescribed Ho degrees performance index gamma . Finally, a numerical example is provided to verify the effectiveness of the obtained result. (c) 2019 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：290 / 300
页数：11
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