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The actual paper study a new approach of stability analysis for polynomial fuzzy model (PFM) with delay time. We introduced a polynomial Lyapunov-Krasovskii function to explore the system stability. A new approach is procured to get a feasible solution, which can be solved via SOSTOOLS. Finally, the less conservativeness of the present result is illustrated by numerical examples.
This paper deals with stability of time delayed Takagi-Sugeno (TS) fuzzy systems. By considering a linear function which bound the derivative of fuzzy weighting functions, a relaxed stability method is established. A new stability approach is derived for time delayed TS systems by using integral Lyapunov function. To show the advantages of the proposed approaches, an illustrative example is given.
This work investigates the problem of state controller synthesis of switched system with time-varying delay. Based on Lyapunov-krasovskii technique and the average dwell time approach (ADTA), a switched state feedback controller is created such that the system is exponentially stable and a weighted La-gain is accomplished. By solving a set of linear matrix inequalities (LMIs), controller parameters...
The goal of this paper is to study the problem of fault-tolerant control (FTC) for Takagi-Sugeno fuzzy descriptor system by using Adaptive Observer. According to the Layponov functional method and the use of a set of Linear Matrices Inequalities (LMIs), the stability of the T-S system has been realised. By using the gains calculated by the toolbox YALMIP of MATLAB we have the estimated states and...
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 is concerned with stability analysis and stabilization of polynomial fuzzy systems with a varying time delay. Based on a novel polynomial Lyapunov-Krasovskii Functional, the less conservatism delay dependent results are presented in terms of Sum Of Squares (SOS) which improve previous works. The proposed SOS-based framework is more innovative and effective than the existing Linear Matrix...
This paper deals with the robust stability and robust stabilization problems for nonlinear systems with time-delay and norm bounded uncertainties which can be represented by Takagi-Sugeno (T-S) uncertain fuzzy model with time-delay. Based on fuzzy weighting-dependent Lyapunov-Krasovski functional approach and the free weighting matrix method, stability sufficient conditions are proposed and then extended...
This paper investigates the problem of robust stability of polynomial fuzzy systems with time delay. This study is based on a polynomial Lyapunov-Krasovskii Functional and presents stability conditions of polynomial fuzzy models with uncertainties in terms of Sum Of Squares (SOS). The established results depend on the size of time delay which improve previous works and reduce the conservatism. The...
This paper presents a sum of squares (SOS) approach to stability analysis of polynomial fuzzy systems with time-delay. Based on a novel polynomial Lyapunov-Krasovskii Functional, stability conditions are presented in terms of sum of squares in order to reduce the conservatism. The proposed SOS-based framework is more innovative and effective than the existing linear matrix inequality (LMI). The SOS...
This paper focuses on H∞ control design problem for T-S fuzzy time-delay systems with actuator saturation. Based on Lyapunov-Krasovskii Functional (LKF) combining the introduction of relaxed matrices, a H∞ controller design method is presented in Linear matrix inequality (LMI) forma. The controller designed is capable to reject the disturbance assumed known and norm bounded. A numerical example is...
This paper is concerned with fault estimation design for continuous-time Takagi-Sugeno (T-S) fuzzy systems with time delay by using adaptive fault diagnostic observer. Through constructing an appropriate type of Lyapunov function, criteria is established to reduce the conservatism of the design procedure. Based on appropriate type of Lyapunov function, new sufficient delay-dependent conditions are...
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...
This paper is concerned with the design of reliable H221E; fuzzy controller for continuous-time nonlinear systems with time delay and actuator faults. Based on a parameter-dependent Lyapunov Function and general actuator failure (which covers the cases of normal operation, partial degradation and outage), a novel design method of reliable fuzzy controller for T-S Fuzzy system with time varying delay...
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