Non-quadratic stabilization of discrete-time 2-D T-S fuzzy systems based on new relaxed conditions

This paper is concerned with the problem of stabilization of the Roesser type discrete-time nonlinear 2-D system which plays an important role in many practical applications. Firstly, a discrete-time 2-D T-S fuzzy model is proposed to represent the underlying nonlinear 2-D system. Secondly, new non-quadratic stabilization conditions are 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.