Stabilizing fuzzy output control for a class of nonlinear systems

Authors:
Dušan Krokavec;Anna Filasová
Affiliations:
Department of Cybernetics and Artificial Intelligence, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Košice, Slovakia;-
Venue:
Advances in Fuzzy Systems - Special issue on Fuzzy Logic Applications in Control Theory and Systems Biology
Year:
2013

Citing 12
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Abstract

The paper presents new conditions suitable in design of a stabilizing output controller for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models. Taking into account the affine properties of the TS model structure and applying the fuzzy control scheme relating to the parallel distributed output compensators, the sufficient design conditions are outlined in terms of linear matrix inequalities. The proposed procedure decouples the Lyapunov matrix and the system parameter matrices in the LMIs and guarantees global stability of the system. Simulation result illustrates the design procedure and demonstrates the performances of the proposed design method.