Optimal robust control for uncertain impulsive systems

Bin Liu; J. Hill David

doi:10.1109/CHICC.2006.4346959

Optimal robust control for uncertain impulsive systems

Bin Liu
, J. Hill David

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

2 Citations (Scopus)

Abstract

This paper aims to study the optimal robust control problem for uncertain impulsive systems. By using the Lyapunov function method and algebraic inequalities, conditions are derived under which not only the uncertain impulsive system is robustly asymptotically stable and the optimal bound of the hybrid performance functional can be estimated. The results are then specialized to interval linear impulsive systems with quadratic hybrid performance functional. Riccati inequality conditions are used to design feedback controllers to stabilize asymptotically the interval linear impulsive system and the optimal bound of the quadratic hybrid performance functional are derived.

Original language	English
Title of host publication	Proceedings of the 26th Chinese Control Conference, CCC 2007
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	381-385
Number of pages	5
ISBN (Print)	7900719229, 9787900719225
DOIs	https://doi.org/10.1109/CHICC.2006.4346959
Publication status	Published - 2007
Externally published	Yes
Event	Chinese Control Conference 2007 - Zhangjiajie, China Duration: 26 Jul 2007 → 31 Jul 2007 Conference number: 26th https://ieeexplore.ieee.org/xpl/conhome/4346752/proceeding (Proceedings)

Conference

Conference	Chinese Control Conference 2007
Abbreviated title	CCC 2007
Country/Territory	China
City	Zhangjiajie
Period	26/07/07 → 31/07/07
Internet address	https://ieeexplore.ieee.org/xpl/conhome/4346752/proceeding (Proceedings)

Keywords

Hybrid performance functional
Interval matrix
Riccati inequality
Robust stability
Uncertain impulsive systems

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10.1109/CHICC.2006.4346959

Cite this

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title = "Optimal robust control for uncertain impulsive systems",

abstract = "This paper aims to study the optimal robust control problem for uncertain impulsive systems. By using the Lyapunov function method and algebraic inequalities, conditions are derived under which not only the uncertain impulsive system is robustly asymptotically stable and the optimal bound of the hybrid performance functional can be estimated. The results are then specialized to interval linear impulsive systems with quadratic hybrid performance functional. Riccati inequality conditions are used to design feedback controllers to stabilize asymptotically the interval linear impulsive system and the optimal bound of the quadratic hybrid performance functional are derived.",

keywords = "Hybrid performance functional, Interval matrix, Riccati inequality, Robust stability, Uncertain impulsive systems",

author = "Bin Liu and \{Hill David\}, J.",

year = "2007",

doi = "10.1109/CHICC.2006.4346959",

language = "English",

isbn = "7900719229",

pages = "381--385",

booktitle = "Proceedings of the 26th Chinese Control Conference, CCC 2007",

publisher = "IEEE, Institute of Electrical and Electronics Engineers",

address = "United States of America",

note = "Chinese Control Conference 2007, CCC 2007 ; Conference date: 26-07-2007 Through 31-07-2007",

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}

TY - GEN

T1 - Optimal robust control for uncertain impulsive systems

AU - Liu, Bin

AU - Hill David, J.

N1 - Conference code: 26th

PY - 2007

Y1 - 2007

N2 - This paper aims to study the optimal robust control problem for uncertain impulsive systems. By using the Lyapunov function method and algebraic inequalities, conditions are derived under which not only the uncertain impulsive system is robustly asymptotically stable and the optimal bound of the hybrid performance functional can be estimated. The results are then specialized to interval linear impulsive systems with quadratic hybrid performance functional. Riccati inequality conditions are used to design feedback controllers to stabilize asymptotically the interval linear impulsive system and the optimal bound of the quadratic hybrid performance functional are derived.

AB - This paper aims to study the optimal robust control problem for uncertain impulsive systems. By using the Lyapunov function method and algebraic inequalities, conditions are derived under which not only the uncertain impulsive system is robustly asymptotically stable and the optimal bound of the hybrid performance functional can be estimated. The results are then specialized to interval linear impulsive systems with quadratic hybrid performance functional. Riccati inequality conditions are used to design feedback controllers to stabilize asymptotically the interval linear impulsive system and the optimal bound of the quadratic hybrid performance functional are derived.

KW - Hybrid performance functional

KW - Interval matrix

KW - Riccati inequality

KW - Robust stability

KW - Uncertain impulsive systems

UR - https://www.scopus.com/pages/publications/37749048042

U2 - 10.1109/CHICC.2006.4346959

DO - 10.1109/CHICC.2006.4346959

M3 - Conference Paper

AN - SCOPUS:37749048042

SN - 7900719229

SN - 9787900719225

SP - 381

EP - 385

BT - Proceedings of the 26th Chinese Control Conference, CCC 2007

PB - IEEE, Institute of Electrical and Electronics Engineers

T2 - Chinese Control Conference 2007

Y2 - 26 July 2007 through 31 July 2007

ER -

Optimal robust control for uncertain impulsive systems

Abstract

Conference

Keywords

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