Partial Sampled-Data State Feedback Control of Markov Jump Linear Systems

被引：2

作者：

Cunha, Rafael F. ^{[1
]}

Gabriel, Gabriela W. ^{[1
]}

Geromel, Jose C. ^{[1
]}

机构：

[1] Univ Estadual Campinas, Sch Elect & Comp Engn, BR-13083852 Campinas, SP, Brazil

来源：

IFAC PAPERSONLINE | 2018年 / 51卷 / 25期

基金：

巴西圣保罗研究基金会;

关键词：

Sampled-data systems; Networked control systems; LMI and convex optimization; Markov process; STABILITY;

D O I：

10.1016/j.ifacol.2018.11.109

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 aims at designing a partial sampled-data state feedback control law for Markov jump linear systems (MJLS). The interesting feature of the control structure is that only the state variable is sampled, while the stochastic parameter that defines the Markov mode of the system used for control purposes is free to change at any time between samples. The main goal is to provide sufficient convex conditions for the existence of a solution for this class of control design problems in the context of H-infinity and H-2 performances, which are expressed through Differential Linear Matrix Inequalities (DLMI). The proposed method is implemented using LMIs facilities and provides a minimum guaranteed cost control in only one shot. An example is solved for illustration and comparison. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：222 / 227

页数：6

共 50 条

[1] Robust partial sampled-data state feedback control of Markov jump linear systems
Cunha, Rafael F.
Gabriel, Gabriela W.
Geromel, Jose C.
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2019, 50 (11) : 2142 - 2152
[2] Optimal H∞ State Feedback Sampled-Data Control Applied to Markov Jump Linear Systems
Gabriel, Gabriela W.
Geromel, Jose C.
Grigoriadis, Kamlos M.
[J]. 2016 EUROPEAN CONTROL CONFERENCE (ECC), 2016, : 2489 - 2494
[3] Optimal H∞ state feedback sampled-data control design for Markov jump linear systems
Gabriel, G. W.
Geromel, J. C.
Grigoriadis, K. M.
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2018, 91 (07) : 1609 - 1619
[4] H2 State Feedback Sampled-data Control for Markov Jump Linear Systems
Gabriel, Gabriela W.
Souza, Matheus
Geromel, Jose C.
[J]. 2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 4355 - 4360
[5] Optimal H2 state feedback sampled-data control design of Markov Jump Linear Systems
Geromel, Jose C.
Gabriel, Gabriela W.
[J]. AUTOMATICA, 2015, 54 : 182 - 188
[6] Performance evaluation of sampled-data control of Markov jump linear systems
Gabriel, Gabriela W.
Geromel, Jose C.
[J]. AUTOMATICA, 2017, 86 : 212 - 215
[7] Optimal Sampled-Data Control of Markov Jump Linear Systems through Differential LMIs
Gabriel, Gabriela W.
Geromel, Jose C.
Goncalves, Tiago R.
[J]. 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
[8] Robust extended dissipative control for sampled-data Markov jump systems
Shen, Hao
Park, Ju H.
Zhang, Lixian
Wu, Zheng-Guang
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2014, 87 (08) : 1549 - 1564
[9] Optimal and Robust Sampled-Data Control of Markov Jump Linear Systems: A Differential LMI Approach
Gabriel, Gabriela W.
Goncalves, Tiago R.
Geromel, Jose C.
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (09) : 3054 - 3060
[10] Robust sampled-data control for Markovian jump linear systems
Hu, Li-Sheng
Shi, Peng
Frank, Paul M.
[J]. AUTOMATICA, 2006, 42 (11) : 2025 - 2030

← 1 2 3 4 5 →