状态饱和2-D离散系统的稳定性分析

STABILITY ANALYSIS OF 2-D DISCRETE SYSTEMS WITH STATE SATURATION

研究由Fornasini-Marchesini(简记F-M)第二模型描述的状态饱和2-D离散系统的渐近稳定性.定义参数s_i将系统表示成部分状态饱和2-D离散系统;构造具有较少限制的矩阵Q并引入参数β,利用Lyapunov方法给出了系统全局渐近稳定性的新的判别条件;设计了基于线性矩阵不等式的求解算法,并通过数值算例验证了算法的有效性.

In this paper,the globally asymptotical stability of 2-D discrete-time systems described by the Fornasini-Marchesini （F-M） second model is studied.By defining the parameter si,the systems are expressed as 2-D discrete-time systems with partial state saturation.By constructing a matrix Q with fewer constraints and introducing a parameter β,a new criterion of globally asymptotical stability is given by applying Lyapunov method.In order to achieve the stability discrimination,an algorithm based on LMIs is designed.In the end,a numerical example is given to show the effectiveness of the proposed algorithm.