Brief paper: H∞ control for singularly perturbed systems

Authors:
Wen Tan;Tinpui Leung;Qili Tu
Affiliations:
Department of Power Engineering, North China Electrical Power University, Baoding, Hebei Province, People's Republic of China;Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hong Kong;Department of Automation, South China University of Technology, Guangzhou, People's Republic of China
Venue:
Automatica (Journal of IFAC)
Year:
1998

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Abstract

This paper derives a set of ε-independent sufficient and necessary conditions for the H∞ control problem for singularly perturbed systems in a different approach from previous ones. A sub-optimal controller is explicitly constructed. We observe that the controller is also singularly perturbed, with its fast (slow) part being an H∞ sub-optimal controller for the fast (slow) sub-system of the original system, respectively. ε-independent H∞ controller design is also considered. The main contribution of this paper is that our results apply to both standard and non-standard singularly perturbed systems.