Observer based tracking control for switched linear systems with time-delay

Qing Kui Li; Georgi M. Dimirovski; Jun Zhao

doi:10.1109/ACC.2008.4586715

Observer based tracking control for switched linear systems with time-delay

Qing Kui Li^*, Georgi M. Dimirovski, Jun Zhao

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

Observer based tracking control for switched linear systems with time-delay is investigated in this paper. Sufficient condition for the solvability of the tracking control problem is given for the case that the state of system is not available. The design of a switching control law based on measured output instead of the state information is considered. Lyapunov-Krasovskii functional method is utilized to the stability analysis and controller design for the switched linear time-delay systems. The Variation-of-constants formula and linear operator theory are used to conquer the difficulties caused by the estimation error and exotic disturbance. By using linear matrix inequalities techniques, the controller design problem can be solved efficiently. The numerical example shows the effectiveness of the switching control laws.

Original language	English
Title of host publication	2008 American Control Conference, ACC
Pages	1570-1575
Number of pages	6
DOIs	https://doi.org/10.1109/ACC.2008.4586715
Publication status	Published - 2008
Event	2008 American Control Conference, ACC - Seattle, WA, United States Duration: 11 Jun 2008 → 13 Jun 2008

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2008 American Control Conference, ACC
Country/Territory	United States
City	Seattle, WA
Period	11/06/08 → 13/06/08

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10.1109/ACC.2008.4586715

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title = "Observer based tracking control for switched linear systems with time-delay",

abstract = "Observer based tracking control for switched linear systems with time-delay is investigated in this paper. Sufficient condition for the solvability of the tracking control problem is given for the case that the state of system is not available. The design of a switching control law based on measured output instead of the state information is considered. Lyapunov-Krasovskii functional method is utilized to the stability analysis and controller design for the switched linear time-delay systems. The Variation-of-constants formula and linear operator theory are used to conquer the difficulties caused by the estimation error and exotic disturbance. By using linear matrix inequalities techniques, the controller design problem can be solved efficiently. The numerical example shows the effectiveness of the switching control laws.",

author = "Li, {Qing Kui} and Dimirovski, {Georgi M.} and Jun Zhao",

year = "2008",

doi = "10.1109/ACC.2008.4586715",

language = "English",

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T1 - Observer based tracking control for switched linear systems with time-delay

AU - Li, Qing Kui

AU - Dimirovski, Georgi M.

AU - Zhao, Jun

PY - 2008

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N2 - Observer based tracking control for switched linear systems with time-delay is investigated in this paper. Sufficient condition for the solvability of the tracking control problem is given for the case that the state of system is not available. The design of a switching control law based on measured output instead of the state information is considered. Lyapunov-Krasovskii functional method is utilized to the stability analysis and controller design for the switched linear time-delay systems. The Variation-of-constants formula and linear operator theory are used to conquer the difficulties caused by the estimation error and exotic disturbance. By using linear matrix inequalities techniques, the controller design problem can be solved efficiently. The numerical example shows the effectiveness of the switching control laws.

AB - Observer based tracking control for switched linear systems with time-delay is investigated in this paper. Sufficient condition for the solvability of the tracking control problem is given for the case that the state of system is not available. The design of a switching control law based on measured output instead of the state information is considered. Lyapunov-Krasovskii functional method is utilized to the stability analysis and controller design for the switched linear time-delay systems. The Variation-of-constants formula and linear operator theory are used to conquer the difficulties caused by the estimation error and exotic disturbance. By using linear matrix inequalities techniques, the controller design problem can be solved efficiently. The numerical example shows the effectiveness of the switching control laws.

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U2 - 10.1109/ACC.2008.4586715

DO - 10.1109/ACC.2008.4586715

M3 - Conference contribution

SN - 9781424420797

T3 - Proceedings of the American Control Conference

SP - 1570

EP - 1575

BT - 2008 American Control Conference, ACC

T2 - 2008 American Control Conference, ACC

Y2 - 11 June 2008 through 13 June 2008

ER -

Observer based tracking control for switched linear systems with time-delay

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