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This paper deals with the problem of asymptotic stability of switched TS fuzzy system with multiple delays in discrete-time. New algebraic criteria are suggested independently on the size of the multiple delays. Our analysis is based on the Gershgorin's disc Theorem, a-transformation and permutation matrix methods. The main advantage of these methods is that it avoids the issue of computations complexity...
This paper deals with the problem of stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with fixed delay. Using linear programming (LP) technique and by imposing positivity constraint for the closed-loop system. new delay-independent stabilization conditions are derived. using a new single Lyapunov-Krasovskii Functional (LKF). A real plant model is studied to show the applicability of...
This paper studies the problem of asymptotic stability for discrete-time switched T-S fuzzy systems with multiple delays. A novel algebraic criterion is proposed for the delay-independent asymptotic stability of the system, based on semipositivity and M-matrix properties. The major benefit of this technique is that it avoids the problem of computations complexity over LMIs constraints. Two numerical...
This work concerns different stability approaches for Takagi-Sugeno (T-S) fuzzy systems. We present some recent approaches based on the idea of multiple Lyapunov functions and slack matrices to reduce the conservatism of stability analysis conditions. Then, new stability conditions are proposed in order to more reduce the conservatism using another upper bound of time-derivative of membership functions,...
This paper deals with the networked decentralized control problem for vehicle dynamics stability. Firstly, the nonlinear roll, sideslip, Yaw model of the vehicle dynamics is represented by an interconnected Takagi-Sugeno (TS) fuzzy model. Secondly, using a fuzzy Lyapunov- Krasovskii functional, asymptotic stability sufficient conditions of vehicle behavior through a decentralized networked control...
This paper deals with the problem of stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with a fixed delay by linear programming (LP) while imposing positivity in closed-loop. The stabilization conditions are derived using the single Lyapunov-Krasovskii Functional (LKF). An example of a real plant is studied to show the advantages of the design procedure.
In this paper, the problem of H∞ exponential stabilization for T-S fuzzy systems with interval time varying delay, which is more general than constant delay and bounded time varying delay, is investigated. Delay dependent stabilization conditions are derived based on a suitable Lyapunov-Krasovskii Functional and jessen's inequality. The proposed approach has two major advantages. The first is the...
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