H∞ control of discrete-time Markovian jump systems with partly unknown transition probabilities

This paper discusses H∞ control problem for a class of discrete-time Markovian jump systems with partly unknown transition probabilities. When some elements in transition matrix are inaccessible, another approach is proposed to estimate the unknown elements. The condition for the existenceof H∞ cont...

Full description

Bibliographic Details
Main Authors: Zhang, Q., Wang, G., Liu, Wanquan, Zhang, Y.
Other Authors: Honglei Xu
Format: Conference Paper
Published: Guizhou University and Chongqing University 2010
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/25561
_version_ 1848751743884591104
author Zhang, Q.
Wang, G.
Liu, Wanquan
Zhang, Y.
author2 Honglei Xu
author_facet Honglei Xu
Zhang, Q.
Wang, G.
Liu, Wanquan
Zhang, Y.
author_sort Zhang, Q.
building Curtin Institutional Repository
collection Online Access
description This paper discusses H∞ control problem for a class of discrete-time Markovian jump systems with partly unknown transition probabilities. When some elements in transition matrix are inaccessible, another approach is proposed to estimate the unknown elements. The condition for the existenceof H∞ controller is expressed by linear matrix inequalities. Finally, illustrative examples are presented to show the validity of the proposed approaches.
first_indexed 2025-11-14T07:57:35Z
format Conference Paper
id curtin-20.500.11937-25561
institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T07:57:35Z
publishDate 2010
publisher Guizhou University and Chongqing University
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-255612023-01-13T07:56:31Z H∞ control of discrete-time Markovian jump systems with partly unknown transition probabilities Zhang, Q. Wang, G. Liu, Wanquan Zhang, Y. Honglei Xu Xinmin Yang Wei Wei linear matrix inequalities partly unknown transition probabilities Markovian jump systems This paper discusses H∞ control problem for a class of discrete-time Markovian jump systems with partly unknown transition probabilities. When some elements in transition matrix are inaccessible, another approach is proposed to estimate the unknown elements. The condition for the existenceof H∞ controller is expressed by linear matrix inequalities. Finally, illustrative examples are presented to show the validity of the proposed approaches. 2010 Conference Paper http://hdl.handle.net/20.500.11937/25561 Guizhou University and Chongqing University restricted
spellingShingle linear matrix inequalities
partly unknown transition probabilities
Markovian jump systems
Zhang, Q.
Wang, G.
Liu, Wanquan
Zhang, Y.
H∞ control of discrete-time Markovian jump systems with partly unknown transition probabilities
title H∞ control of discrete-time Markovian jump systems with partly unknown transition probabilities
title_full H∞ control of discrete-time Markovian jump systems with partly unknown transition probabilities
title_fullStr H∞ control of discrete-time Markovian jump systems with partly unknown transition probabilities
title_full_unstemmed H∞ control of discrete-time Markovian jump systems with partly unknown transition probabilities
title_short H∞ control of discrete-time Markovian jump systems with partly unknown transition probabilities
title_sort h∞ control of discrete-time markovian jump systems with partly unknown transition probabilities
topic linear matrix inequalities
partly unknown transition probabilities
Markovian jump systems
url http://hdl.handle.net/20.500.11937/25561