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DISCRETE OUTPUT FUZZY CONTROLLER DESIGN FOR ACHIEVING COMMON CONTROLLABILITY GRAMIAN
Author(s) -
Chang WenJer,
Sun CheinChung,
Fuh ChyunChau
Publication year - 2000
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2000.tb00034.x
Subject(s) - controllability gramian , controllability , control theory (sociology) , gramian matrix , observability , fuzzy logic , nonlinear system , mathematics , controller (irrigation) , integrator , fuzzy control system , computer science , control (management) , artificial intelligence , eigenvalues and eigenvectors , computer network , physics , bandwidth (computing) , quantum mechanics , agronomy , biology
In control theory, the robust properties of linear systems can be related directly to properties of the controllability or observability Gramian. In this paper, a discrete fuzzy controller for a class of nonlinear systems is developed to achieve a common controllability Gramian. We assume that the nonlinear system is represented by the Takagi‐Sugeno fuzzy model. The purpose of this paper is to find the output feedback gains for the T‐S fuzzy controller after assigning a certain common controllability Gramian. Finally, we provide a numerical example to verify the effects of the proposed method.