Regular Papers

International Journal of Control, Automation and Systems 2006; 4(3): 271-280

© The International Journal of Control, Automation, and Systems

An Improvement on Robust H∞ Control for Uncertain Continuous-Time Descriptor Systems

Hung-Jen Lee, Shih-Wei Kau, Yung-Sheng Liu, Chun-Hsiung Fang*, Jian-Liung Chen, Ming-Hung Tsai, and Li Lee*

National Kaohsiung University of Applied Sciences, Taiwan

Abstract

This paper proposes a new approach to solve robust H∞ control problems for uncertain continuous-time descriptor systems. Necessary and sufficient conditions for robust H∞ control analysis and design are derived and expressed in terms of a set of LMIs. In the proposed approach, the uncertainties are allowed to appear in all system matrices. Furthermore, a couple of assumptions that are required in earlier design methods are not needed anymore in the present one. The derived conditions also include several interesting results existing in the literature as special cases.

Keywords Descriptor systems, H∞ control, LMI, robust control, uncertainties.

Article

Regular Papers

International Journal of Control, Automation and Systems 2006; 4(3): 271-280

Published online June 1, 2006

Copyright © The International Journal of Control, Automation, and Systems.

An Improvement on Robust H∞ Control for Uncertain Continuous-Time Descriptor Systems

Hung-Jen Lee, Shih-Wei Kau, Yung-Sheng Liu, Chun-Hsiung Fang*, Jian-Liung Chen, Ming-Hung Tsai, and Li Lee*

National Kaohsiung University of Applied Sciences, Taiwan

Abstract

This paper proposes a new approach to solve robust H∞ control problems for uncertain continuous-time descriptor systems. Necessary and sufficient conditions for robust H∞ control analysis and design are derived and expressed in terms of a set of LMIs. In the proposed approach, the uncertainties are allowed to appear in all system matrices. Furthermore, a couple of assumptions that are required in earlier design methods are not needed anymore in the present one. The derived conditions also include several interesting results existing in the literature as special cases.

Keywords: Descriptor systems, H∞ control, LMI, robust control, uncertainties.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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