On stabilization of uncertain linear systems with jump parameters
On stabilization of uncertain linear systems with jump parameters
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DOI：
10.1080/002071799220768
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发表时间：
1999
影响因子：
2.1
通讯作者：
E. Boukas;P. Shi;K. Benjelloun
中科院分区：
文献类型：
--
作者：
E. Boukas;P. Shi;K. Benjelloun
本文研究了一类具有马尔可夫跳变参数的不确定线性系统的鲁棒镇定问题。在系统完全可达连续状态、标称系统随机可镇定和系统不确定性有界的假设下，给出了不确定系统鲁棒稳定的充分条件，这些条件表示为一组耦合的代数Riccati方程。最后给出了一个数值例子来说明所提出的方法的潜力。
In this paper, we study the problem of robust stabilizability of the class of uncertain linear systems with Markovian jumping parameters. Under the assumption of complete access to the continuous state, the stochastic stabilizability of the nominal system and the boundedness of the system's uncertainties, sufficient conditions which guarantee the robust stability of the uncertain systems are presented, which are in terms of a set of coupled algebraic Riccati equations. A numerical example is given to illustrate the potential of the proposed technique.