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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 study presents an H-infinite controller design for time-delay Takagi-Sugeno (T-S) fuzzy systems based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadratic Lyapunov functions. The delay-dependent robust stability criterion is derived in terms of the fuzzy Lyapunov method to guarantee the stability of time-delay T-S fuzzy systems subjected to disturbances. Based on...
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...
A robust receding horizon dual-mode control method is proposed for a class of uncertain discrete-time nonlinear systems using Takagi-Sugeno fuzzy models subject to input and state constraints. The uncertainties are considered to exist in system parameters and assumed to belong to a polytopic set. Using the property of the invariant ellipsoid, a receding horizon dual-mode control that satisfies the...
This paper proposes a new robust stability condition for Takagi-Sugeno (T-S) fuzzy control system with parametric uncertainties. The condition is represented in the form of linear matrix inequalities (LMIs) and is less conservative than some relaxed quadratic stabilization conditions published recently in the literature by collecting the interrelations of fuzzy subsystems into a set of matrices, not...
Non-fragile guaranteed cost control for a class of T-S fuzzy system is studied. The concept of T-S fuzzy system is explained and the condition of robust stabilization is in the form of matrix inequality which can be converted to the LMIs. Then, non-fragile guaranteed cost control is applied to T-S fuzzy system. A sufficient condition for the existence of such non-fragile guaranteed cost controllers...
The problem of robustly stochastic stability criterion for Takagi-Sugeno (T-S) uncertain fuzzy Markov jump system is investigated in this paper. First, we define a type of T-S fuzzy Markov jump system, whose membership function depends on the system mode. In order to get less conservative robustly stochastic stability criterions, we introduce a fuzzy Lyapunov functional and its weak infinitesimal...
This study analyzes the absolute stability in static fuzzy logic control systems with certain and uncertain parameters. For certain static fuzzy control systems, the absolute stability can be analyzed with Popov criterion. The uncertain parameters for absolute stability analysis include the reference input, actuator gain and interval linear plant. The parametric robust Popov criterion based on Lurpsilae...
This paper addresses the robust fuzzy control problem for nonlinear multiple time-delay large-scale systems in the presence of modeling errors and the state variables unavailable for measurement. The Takagi-Sugeno (T-S) fuzzy control system with modeling errors is adopted for modeling the nonlinear multiple time-delay large-scale systems and establishing fuzzy state observer. In terms of Lyapunovpsilas...
Conditions about the stabilization of Takagi-Sugeno fuzzy models can systematically be derived and solved usually using linear matrix inequality problems. Current research tries to lower any pessimism. However, often it leads to an important increase in the number of decision variables, and problems become unsolvable. In this correspondence, we choose to reduce the number of decision variables while...
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