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讨论了一类非线性离散广义马尔可夫跳跃系统的静态输出反馈镇定问题。非线性函数满足二次受限条件。首先给出了保证非线性离散广义马尔可夫跳跃系统正则、因果,在原点的邻域内有惟一解,且随机稳定的一个线性矩阵不等式(linear matrix inequality,LMI)充分条件。然后利用奇异值分解方法,给出了静态输出反馈控制器的设计方法。最后用一个数值算例验证了本文方法的有效性。
The static output feedback stabilization problem for a class of nonlinear discrete-time generalized Markov jump systems is discussed. The nonlinear function satisfies the quadratic constraint condition. Firstly, a sufficient condition for guaranteeing the regularity and causality of a nonlinear discrete generalized Markov jump system and having a unique solution in the neighborhood of the origin, and a stochastic stability matrix of linear matrix inequality (LMI) is given. Then, using the singular value decomposition method, the design method of static output feedback controller is given. Finally, a numerical example is used to verify the effectiveness of the proposed method.