Stable fuzzy control system design with pole-placement constraint: an LMI approach

In this paper, the synthesis of an Linear Matrix Inequality (LMI)-based stable fuzzy control system with pole-placement constraint is presented. The requirements of stability and pole-placement region are formulated based on the Lyapunov direct method. By recasting these constraints into LMIs, we fo...

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Bibliographic Details
Published inComputers in industry Vol. 51; no. 1; pp. 1 - 11
Main Authors Hong, Sung Kyung, Nam, Yoonsu
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.05.2003
Subjects
Fuzzy control system
LMI
LMI
Fuzzy control system
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ISSN0166-3615
1872-6194
DOI10.1016/S0166-3615(03)00057-5

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Summary:In this paper, the synthesis of an Linear Matrix Inequality (LMI)-based stable fuzzy control system with pole-placement constraint is presented. The requirements of stability and pole-placement region are formulated based on the Lyapunov direct method. By recasting these constraints into LMIs, we formulate an LMI feasibility problem for the design of the fuzzy state feedback control system that guarantees stability and satisfies desired transient responses. This theoretical approach is applied to a nonlinear magnetic bearing system concerning the issue of rotor position control. Simulation results show that the proposed LMI-based design methodology yields better performance than those of a linear local controller or single objective controller. In addition, it is observed that the proposed fuzzy state feedback controller provides superior stability robustness against parameter variations.
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ISSN:0166-3615
1872-6194
DOI:10.1016/S0166-3615(03)00057-5