Abstract
This paper is concerned with the problem of stabilization of the Roesser type discrete-time nonlinear 2-D system that plays an important role in many practical applications.First,a discrete-time 2-D T-S fuzzy model is proposed to represent the underlying nonlinear 2-D system.Second,new quadratic stabilization conditions are proposed by applying relaxed quadratic stabilization technique for 2-D case.Third,for sake of further reducing conservatism,new non-quadratic stabilization conditions are also proposed by applying a new parameter-dependent Lyapunov function,matrix transformation technique,and relaxed technique for the underlying discrete-time 2-D T-S fuzzy system.Finally,a numerical example is provided to illustrate the effectiveness of the proposed results.
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