H2 State Feedback Sampled-data Control for Markov Jump Linear Systems

被引：0

作者：

Gabriel, Gabriela W. ^{[1
]}

Souza, Matheus ^{[1
]}

Geromel, Jose C. ^{[1
]}

机构：

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

来源：

2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2014年

关键词：

D O I：

暂无

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 entirely devoted to analyzing the H-2 optimal state feedback sampled-data control design problem for Markov Jump Linear Systems. Our propose is to search for a solution to this problem by imbedding it in a more general class of dynamical systems, which we call Hybrid Markov Jump Linear System (HMJLS). In this new and wide context, we show how to calculate a sampled-data state feedback control that minimizes the H-2 performance index associated to the closed-loop system from the solution of a specific two-point boundary value problem. This result is adapted to provide optimal control conditions based on linear matrix inequalities (LMIs). The theory is illustrated by means of an academical example.

引用

页码：4355 / 4360

页数：6

共 50 条

[1] 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
[2] Partial Sampled-Data State Feedback Control of Markov Jump Linear Systems
Cunha, Rafael F.
Gabriel, Gabriela W.
Geromel, Jose C.
[J]. IFAC PAPERSONLINE, 2018, 51 (25): : 222 - 227
[3] 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
[4] 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
[5] 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
[6] H2 Robust State Feedback Sampled-Data Control of Uncertain Linear Systems
Alves, Rafael M.
Fioravanti, Andre R.
Souza, Matheus
[J]. JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS, 2024,
[7] H2 and H∞ control for jump systems with application to sampled-data systems
Ichikawa, A
Katayama, H
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1998, 29 (08) : 829 - 849
[8] Performance evaluation of sampled-data control of Markov jump linear systems
Gabriel, Gabriela W.
Geromel, Jose C.
[J]. AUTOMATICA, 2017, 86 : 212 - 215
[9] Mixed H2/H∞ State Feedback Control for Markov Jump Linear Systems with Hidden Observations
de Oliveira, Andre Marcorin
do Valle Costa, Oswaldo Luiz
[J]. IFAC PAPERSONLINE, 2017, 50 (01): : 3800 - 3805
[10] H2 Sampled-Data Filtering of Linear Systems
Souza, Matheus
Fioravanti, Andre R.
Geromel, Jose C.
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2014, 62 (18) : 4839 - 4846

← 1 2 3 4 5 →