Robust finite-time stabilization of uncertain singular Markovian jump systems
Robust finite-time stabilization of uncertain singular Markovian jump systems
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DOI：
10.1016/j.apm.2011.12.052
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发表时间：
2012-10
影响因子：
5
通讯作者：
Yingqi Zhang;Caixia Liu;X. Mu
中科院分区：
文献类型：
--
作者：
Yingqi Zhang;Caixia Liu;X. Mu
研究了一类不确定广义马尔可夫跳跃系统的鲁棒有限时间镇定问题。首先给出了奇异随机有限时间有界性和奇异随机H∞有限时间有界性的定义。其次，对于一类具有参数不确定性和时变范数有界扰动的广义随机系统，得到了其有限时间有界性的充分条件。然后将所得结果推广到广义随机系统族的奇异随机H∞有限时间有界性。给出了保证闭环奇异随机系统奇异随机有限时间有界和奇异随机H∞有限时间有界的充分判据，并将其转化为具有固定参数的线性矩阵不等式形式的可行性问题.最后，数值例子说明了所提出的方法的有效性。
This paper focuses on the problem of robust finite-time stabilization for one family of uncertain singular Markovian jump systems. Firstly, the definitions of singular stochastic finite-time boundedness and singular stochastic H∞finite-time boundedness are presented. Secondly, sufficient conditions on singular stochastic finite-time boundedness are obtained for the class of singular stochastic systems with parametric uncertainties and time-varying norm-bounded disturbance. Then the results are extended to singular stochastic H∞finite-time boundedness for the family of singular stochastic systems. Sufficient criteria are provided to guarantee that the underlying closed-loop singular stochastic system is singular stochastic finite-time boundedness and singular stochastic H∞finite-time boundedness, which can be reduced to a feasibility problem in the form of linear matrix inequalities with a fixed parameter, respectively. Finally, numerical examples are given to illustrate the validity of the proposed methodology.