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Journal of Vibration and Control
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Design of Non-Fragile H{infty} Controller for Active Vehicle Suspensions

Haiping Du

Control and Power Group, Department of Electrical and Electronic Engineering, Imperial College, Exhibition Road, London SW7 2BT, h.du{at}imperial.ac.uk

James Lam

Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong

Kam Yim Sze

Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong

In this paper we present an approach to design the non-fragile H {infty} controller for active vehicle suspensions. A quarter-car model with active suspension system is considered in this paper. By suitably formulating the sprung mass acceleration, suspension deflection and tire deflection as the optimization object and considering a priori norm-bounded controller gain variations, the non-fragile state-feedback H {infty} controller can be obtained by solving a linear matrix inequality. The designed controller not only can achieve the optimal performance for active suspensions but also preserves the closed-loop stability in spite of the controller gain variations.

Key Words: Non-fragile • H{infty} control • linear matrix inequality • active suspension

Journal of Vibration and Control, Vol. 11, No. 2, 225-243 (2005)
DOI: 10.1177/1077546305049392
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