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This paper discusses the time delay-dependent stability and stabilization problem for discrete-time T-S fuzzy systems with time delay. Some new LMI-based delay-dependent stability and stabilization conditions are derived using the Lyapunov-based approach. Compared with the existing results for the same problem, the number of LMI based delay-dependent stability and stabilization conditions reduced...
This paper is concerned with stability and stabilization of fuzzy bilinear systems with time-varying delay. First, we consider the stability of the closed-loop systems by assuming a special form of a fuzzy controller. Both delay-independent and delay-dependent stability conditions are obtained. These stability conditions are given in terms of linear matrix inequality (LMIs). Based on these stability...
This paper concerns with the problem of determining stability domain of time-delay T-S fuzzy systems with input saturation. The stability domain may be enlarged by applying a fuzzy anti-windup compensator to the considered system. For T-S fuzzy systems with delayed state and saturating input, delay-independent and delay-dependent, stability conditions are correspondingly established using the Lyapunov-Krasovskii...
A new delay bisection approach has been proposed to solving the problem of the stability of fuzzy systems with interval time-varying delay. The time-delay is assumed to be a time-varying function belonging to a given interval. Based on a Lyapunov-Krasovskii functional, a new sufficient condition on the asymptotical stability of the system is obtained by using the delay bisection method. Two numerical...
This paper deals with the problem of delay-dependent stability for T-S fuzzy descriptor networked control systems with multiple state time-delays. Without using model transformation and bounding technique for cross terms, an improved delay-dependent stability criterion is established in terms of strict linear matrix inequalities (LMIs), which ensure the system is regular, impulse free and asymptotically...
The problem of the stability of fuzzy systems with interval time-varying delay is addressed. The time-delay is assumed to belong to a given interval. The systems are approximated by Takagi-Sugeno(T-S)fuzzy models with interval time-varying delay. A Lyapunov-Krasovskii functional, which is based on both the lower and upper bounds of interval time-varying delay, is proposed to derive a less conservative...
This paper is concerned with the stability analysis of Takagi-Sugeno fuzzy dynamic systems with constant time delay. A new delay-dependent asymptotic stability condition for the system is derived by using a novel quadratic Lyapunov-Krasovskii functional, which is constructed by uniformly dividing the delay interval into multiple segments and choosing proper functional with weighted matrices for each...
One new method is presented in this paper to deal with the stability problems for a kind of complex large-scale fuzzy systems with hybrid models. These hybrid large-scale systems are composed of lots of interconnected subsystems, some of which are described by differential equations and others by Takagi-Sugeno fuzzy models. Also time-delay is considered in this paper. Novel techniques to cope with...
This paper is concerned with robust sampled-data stabilization for uncertain fuzzy systems. A new approach to robust sampled-data control is introduced. A practical system is usually modelled as a continuous-time fuzzy system, while the control input has a piecewise-continuous delay. Sufficient robust stability conditions for the closed-loop system with a sampled-data state feedback controller are...
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