Stabilization of Discrete-time 2-D T-S Fuzzy Systems Based on New Relaxed Conditions
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摘要: 研究了在实际中有广泛应用的罗斯勒型离散时间非线性2-D系统的镇定问题. 首先, 运用离散时间2-DT-S模糊模型来对所研究的非线性2-D系统进行建模. 其次, 通过利用放松二次镇定技术得到新的关于2-D系统的二次镇定条件. 然后, 为了继续减少结果的保守性, 通过利用一个新的参数依赖李亚普诺夫函数、矩阵转换技术和松弛技术, 得到了新的非二次镇定条件. 最后, 用一个仿真例子来验证了结果的有效性.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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