ISSN : 1796-203X
Volume : 4    Issue : 7    Date : July 2009

H∞ Tracking Performance Design for Fuzzy-Model-Based Descriptor Systems Subject to Parameter Uncertainties
Wen-Shyong Yu
Page(s): 576-584
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This paper presents the stability and H∞ tracking performance design of a fuzzy-model-based descriptor system to
attenuate the effects caused by unmodeled dynamics, disturbances, and approximation errors. First, the nonlinear
descriptor system is represented by an equivalent Takagi-Sugeno type fuzzy model. Then, a fuzzy observer-based state
feedback control scheme is developed to restrain the external disturbances such that the H∞ tracking performance is
achieved. Furthermore, based on Lyapunov stability theorem, the proposed fuzzy control system can guarantee the
stability of the whole closed-loop system and obtain good tracking performance as well. Stability conditions are
expressed in terms of linear matrix inequalities (LMIs). Finally, a numerical example of a nonlinear descriptor system
control problem is given to show the validity and confirm the performance of the proposed scheme.

Index Terms
Descriptor systems, Takagi-Sugeno fuzzy model, state feedback control, H∞ tracking performance, linear matrix
inequalities (LMIs)