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The paper deals with the linear systems with uncertain parameters described by fuzzy numbers. The problem of determining stability margin of those systems with linear affine dependency of the coefficients of characteristic polynomial on system parameters is studied. Fuzzy numbers describing the system parameters are allowed to be characterized by arbitrary nonsymmetric membership functions. An elegant...
This paper is presented to investigate the validity of designing a discreet controller of feed- forward and feedback structure which may be used to improve the dynamic performance of either linear or nonlinear systems. By transforming the continuous plant as well as transforming the associated controller to the discreet domain with including all parameters changes and their influence for closed loop...
In this paper, a method is proposed to design a robust controller for fuzzy parametric uncertain systems. An uncertain LTI system with fuzzy coefficients is referred as fuzzy parametric uncertain system. In this work the fuzzy coefficients are approximated by intervals (crisp sets) using the nearest interval approximation approach to get an interval system. Then a robust PI/PID controller is designed...
This paper proposed a simple graphical criterion for stability margin determination of closed-loop control systems contained plant with fuzzy coefficients. The stability margin shows that what plant fuzziness can be large without system destabilization. The presented method is generalization of obtained result in robust stability analysis and can be applied in the case of trapezoidal or triangular...
Based on recent results on homogeneous polynomially parameter-dependent (HPPD) solutions to parameter-dependent LMIs (PD-LMIs) that arise from robust stability of linear parameter varying (LPV) systems, we investigate the relaxed conditions characterized by parameter-dependent LMIs (PD-LMIs) in terms of firing strength belonging to the unit simplex, exploiting the algebraic property of Polyapsilas...
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