JACIII Vol.12 No.2 pp. 190-197
doi: 10.20965/jaciii.2008.p0190


Further Results on T-S Fuzzy Controller Design Subject to Input Constraint

Hugang Han

Department of Management Information System, Prefectural University of Hiroshima, 1-1-71 Ujina-higashi, Minami-ku, Hiroshima 734-8558, Japan

October 3, 2007
December 28, 2007
March 20, 2008
fuzzy controller, input constraint, ellipsoid, LMIs conservatism

In general, when using the Takagi-Sugeno (T-S) fuzzy model to develop a control system, the state feedback control gain can be obtained by solving some linear matrix inequalities (LMIs). In this paper, we consider a class of nonlinear systems with input constraint (saturation). To obtain the control gain, we require to employ certain extra LMIs besides the general ones. As a result, all the LMIs are more conservative. At the same time, one of the extra LMIs confines the initial state to a region, which is referred to as an ellipsoid, and is relevant to a matrix variable in the LMIs. Therefore, the goals of this paper are: 1) making the ellipsoid as large as possible so that the initial state can be confined to the region easily and; 2) making all the LMIs more feasible to obtain the control gain.

Cite this article as:
Hugang Han, “Further Results on T-S Fuzzy Controller Design Subject to Input Constraint,” J. Adv. Comput. Intell. Intell. Inform., Vol.12, No.2, pp. 190-197, 2008.
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