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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...
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...
The problems of robust stability and L2-gain analysis and synthesis for a class of uncertain discrete-time switched systems with time-delay are addressed. Based on the constructive use of an appropriate switched Lyapunov function, switched systems with convex-bounded parameter uncertainties in all system matrices are investigated to make the linear switched systems are uniform quadratic stability...
The controller design of the networked control systems with multiple-packet transmission is studied. In controller side a set of observers are used to reconstruct system state, and the state of observer is used as state feedback. Using Lyapunov approach, the sufficient condition of asymptotic stability of closed loop system is proposed, and parametric design method of state feedback control matrix...
A more precise T-S fuzzy model was established to approximate the nonlinear model of ship rolling movement. Based on fuzzy partition of the input space, two new sufficient conditions under which the closed-loop T-S fuzzy control system is asymptotically stable in the large were obtained by constructing piecewise smooth Lyapunov function. The new sufficient conditions, which only required finding a...
The globally exponential synchronization(GES) was proved based on the Lyapunov theorem for globally exponential stability. To demonstrate the theoretical predictions, the GES of hyperchaotic Chen and Lorenz systems were studied. Therefore, several nonlinear control laws were designed to obtain GES of the two hyperchaotic systems.The effectiveness of the control laws is demonstrated by using of both...
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