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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 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...
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