Robustly exponentially almost sure stabilization of uncertain discrete-time composite switched systems

被引：1
作者：
Gao, Wenshuai [1 ]
Song, Yang [1 ]
机构：
[1] Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai Key Lab Power Stn Automat, Shanghai 200444, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2024年 / 26卷 / 06期
关键词：
composite switched systems (CSSs); Markov chain; robustly exponentially almost sure (EAS) stabilization; semi-Markov chain; JUMP LINEAR-SYSTEMS; STABILITY ANALYSIS; MARKOV;
D O I：
10.1002/asjc.3370
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 concerned with the robustly exponentially almost sure (EAS) stabilization of uncertain discrete-time composite switched systems (CSSs), in which the dominant signal subjects to a semi-Markov chain, while the subordinate signals follow a family of different Markov chains. Norm-bounded uncertainties impacting the state and input matrices of the system are taken into account. Utilizing numerical computation methods, bounds on the transient statistical properties of Markov chain are provided. Based on this, sufficient conditions for robustly EAS stabilization are established by combining an estimate of the sojourn time for modes in a semi-Markov chain. Our result is the discrete counterpart of prior work concerning continuous-time dual-switching systems. Two examples are provided to validate the effectiveness of developed results.
引用
收藏
页码：2867 / 2878
页数：12
相关论文
共 37 条
[1]   On almost sure stability of continuous-time Markov jump linear systems [J].
Bolzern, P. ;
Colaneri, P. ;
De Nicolao, G. .
AUTOMATICA, 2006, 42 (06) :983-988
[2]   Almost Sure Stability of Markov Jump Linear Systems With Deterministic Switching [J].
Bolzern, Paolo ;
Colaneri, Patrizio ;
De Nicolao, Giuseppe .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (01) :209-214
[3]  
Bolzern P, 2011, IEEE DECIS CONTR P, P5461
[4]   Markov Jump Linear Systems with switching transition rates: Mean square stability with dwell-time [J].
Bolzern, Paolo ;
Colaneri, Patrizio ;
De Nicolao, Giuseppe .
AUTOMATICA, 2010, 46 (06) :1081-1088
[5]   Ultimate Boundedness Control for Networked Singularly Perturbed Systems With Deception Attacks: A Markovian Communication Protocol Approach [J].
Cheng, Jun ;
Park, Ju H. ;
Wu, Zheng-Guang ;
Yan, Huaicheng .
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING, 2022, 9 (02) :445-456
[6]   Adaptive Fuzzy Asynchronous Control for Nonhomogeneous Markov Jump Power Systems Under Hybrid Attacks [J].
Dong, Shanling ;
Liu, Meiqin .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2023, 31 (03) :1009-1019
[7]   Stabilization of continuous-time jump linear systems [J].
Fang, YG ;
Loparo, KA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (10) :1590-1603
[8]   Sliding Mode Control of Singular Stochastic Markov Jump Systems [J].
Feng, Zhiguang ;
Shi, Peng .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (08) :4266-4273
[9]  
Hao Y., 2016, IEEE T SMART GRID, V9, P3191
[10]   Markov Model-Based Energy Storage System Planning in Power Systems [J].
Hong, Ying-Yi ;
Wu, Man-Yin .
IEEE SYSTEMS JOURNAL, 2019, 13 (04) :4313-4323
1234