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In this paper, we investigate some qualitative properties of crossing limit cycles for a discontinuous symmetric Liénard system with two zones separated by a straight line. In each zone, it is a smooth Liénard system. Firstly, by Poincaré mapping method and geometrical analysis, we provide two criteria concerning the existence, uniqueness and stability of a crossing limit cycle. Secondly, we consider...
This paper deals with the disturbance of nonlinear Takagi-Sugeno (T-S) fuzzy system. Based on piecewise fuzzy Lyapunov function and LMI method, the systematic design procedures were given and the sufficient conditions for closed-loop system stability were derived and the parameters design method of gamma-superior Hinfin controller for closed-loop system was provided. Simulation results show the effectiveness...
To the discrete-time plants existed packet loss in both forward path and feedback path, this paper differently takes the process of data packet loss as independent Bernoulli processes. By the restrict conditions of the level parameters of the quantizers, we can guarantee the mean-square stability in state estimation and acquire an upper bound of biggest packet loss rate of forward path based on the...
Based on Takagi-Sugeno fuzzy model, this paper adopts the piecewise fuzzy Lyapunov function into the analysis of nonlinear discrete systems with parametric uncertainties. Firstly, a new sufficient condition to check the stability of closed-loop discrete T-S fuzzy systems is proposed after the definition of a discrete piecewise fuzzy Lyapunov function. This condition only needs to satisfy the condition...
Considering the nonlinearity characteristic of buck-boost converter and combining with the fine part-linear characteristic of T-S fuzzy model, a novel T-S fuzzy model of buck-boost converter is proposed in this paper. Based on the constructed model, a parametrical design method of the buck-boost converter fuzzy controller is put forward via QLF method. And the parameters of controller can be obtained...
This paper deals with the optimal guaranteed cost control of a class of Takagi-Sugeno (T-S) fuzzy systems via the piecewise fuzzy Lyapunov function (PFLF) approach. The PFLF is proposed by utilizing the structure information of the rule premise. Based on this approach, an optimal guaranteed control law for stabilization of the closed-loop fuzzy systems is derived in the form of linear matrix inequality...
This paper deals with the stability analysis and stabilization of a class of Takagi-Sugeno (T-S) fuzzy systems via piecewise fuzzy Lyapunov function approach. The piecewise fuzzy Lyapunov function is proposed by utilizing the structure information of the rule premise. Based on this function approach, sufficient conditions for stabilization of both open-loop fuzzy systems and closed-loop fuzzy systems...
This paper adopts the fuzzy Lyapunov stability theory into the analysis and design of a class of Takagi-Sugeno fuzzy systems with parametric uncertainties. The problem of designing a guaranteed cost controller is studied by formulating the fuzzy Lyapunov function of the fuzzy system, the sufficient conditions are derived by using the parallel distributed compensation (PDC) strategy. The simulation...
This paper presented a novel passivity-based fuzzy sliding-mode speed controller to decouple the rotor flux and electromagnetic torque for vector-controlled induction motor drives. According to the passivity of induction motor system, the indirect field oriented control(IFOC) principle was derived and a sliding-mode speed controller was proposed, so the reference current of q-axis can be controlled...
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