A Bounded Real Lemma for Continuous-Time Linear Systems with Partial Information on the Markovian Jumping Parameters

被引：0

作者：

Graciani Rodrigues, C. C. ^{[1
]}

Todorov, Marcos G. ^{[1
]}

Fragoso, Marcelo D. ^{[1
]}

机构：

[1] LNCC CNPq, Natl Lab Sci Comp, Av Getulio Vargas 333, BR-25651070 Rio De Janeiro, Brazil

来源：

2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2015年

关键词：

H-infinity control; continuous-time Markov jump linear systems; partial observations; SEPARATION PRINCIPLE; ADAPTIVE-CONTROL; DISTURBANCES;

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：

In this paper we present a Bounded Real Lemma for continuous-time Markov jump linear systems with partial observations of the Markov chain. The main result provides a fundamental tool for the development of an H-infinity control theory devoted to this class of systems, and consists of a necessary and sufficient condition for a given stochastic system to be mean square stable and satisfy a prescribed degree of H-infinity performance. We also devise a method for the design of H-infinity controllers via linear matrix inequalities, which is subsequently applied to the control of an unmanned aerial vehicle model.

引用

页码：4226 / 4231

页数：6

共 50 条

[1] Mean square stabilizability of continuous-time linear systems with partial information on the Markovian jumping parameters
Fragoso, MD
Costa, OLV
STOCHASTIC ANALYSIS AND APPLICATIONS, 2004, 22 (01) : 99 - 111
[2] Mean square stabilizability of continuous-time linear systems with partial information on the Markovian jumping parameters
Fragoso, MD
Costa, OLV
PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 4299 - 4303
[3] Bounded real lemma for singular linear continuous-time fractional-order systems
Marir, Saliha
Chadli, Mohammed
Basin, Michael, V
AUTOMATICA, 2022, 135
[4] Kalman filtering for continuous-time uncertain systems with Markovian jumping parameters
Shi, P
Boukas, EK
Agarwal, RK
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (08) : 1592 - 1597
[5] Kalman filtering for continuous-time uncertain systems with Markovian jumping parameters
Centre for Industrial and Applicable, Mathematics, School of Mathematics, University of South Australia, Mawson Lakes, SA 5095, Australia
不详
不详
IEEE Trans Autom Control, 8 (1592-1597):
[6] An equivalent LMI representation of bounded real lemma for continuous-time systems
Xie, Wei
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
[7] An Equivalent LMI Representation of Bounded Real Lemma for Continuous-Time Systems
Wei Xie
Journal of Inequalities and Applications, 2008
[8] A new generalized bounded real lemma for continuous-time descriptor systems
Wu, Jenq-Lang
Yung, Chee-Fai
ASIAN JOURNAL OF CONTROL, 2022, 24 (05) : 2729 - 2737
[9] Robust Kalman filter design for continuous-time systems with Markovian jumping parameters
Lee, CM
Fong, IK
Proceedings of the Sixth IASTED International Conference on Signal and Image Processing, 2004, : 357 - 362
[10] Bounded Real Lemma for Nonhomogeneous Markovian Jump Linear Systems
Aberkane, Samir
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 4692 - 4697

← 1 2 3 4 5 →