T-S模糊非齐次马尔可夫跳跃系统有限时间稳定性分析

T-S Fuzzy Non-Homogeneous Markov Jump System Finite Time Stability Analysis

研究了一类具有非齐次跳跃过程的不确定非线性离散马尔可夫跳跃系统的有限时间稳定性。利用范数有界参数不确定性和时变跳跃转移概率矩阵,建立马尔可夫跳跃模糊模型,其中时变转移概率矩阵用多面体表示。通过构造一个合适的李雅普诺夫函数,用线性矩阵不等式的形式导出一组新的充分条件,以保证滤波误差系统鲁棒随机有限时间有界。通过一个特定的滤波器验证了该方法的有效性和正确性。

This paper mainly studies the finite time stability of a class of uncertain nonlinear discrete Markov jump systems with non-homogeneous jump processes.In this paper,the norm-bounded parameter uncertainty and the time-varying jump transition probability matrix are used to establish a Markov jump fuzzy model,in which the time-varying transition probability matrix is represented by a polytope.By constructing a suitable Lyapunov function,a new set of sufficient conditions is derived in the form of linear matrix inequalities to ensure that the filtering error system is robustly stochastically finite-time bounded.Finally,the effectiveness of this method is verified by a specific filter.