Nonfragile observer‐based H ∞ sliding mode control for Itô stochastic systems with Markovian switching
Nonfragile observer‐based H ∞ sliding mode control for Itô stochastic systems with Markovian switching
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DOI：
10.1002/rnc.2970
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发表时间：
2014-10
影响因子：
3.9
通讯作者：
Y. Kao;Wei Li;Changhong Wang
中科院分区：
文献类型：
--
作者：
Y. Kao;Wei Li;Changhong Wang
研究了一类具有输入非线性和马尔可夫切换的非线性不确定随机系统的滑模控制问题。设计了一种受模式转移率约束的非脆弱观测器。通过一些指定的矩阵，建立了每种振型对应的设计滑动面之间的联系。推导了基于状态估计的滑模控制律，保证了滑动面在有限时间区间内的可达性。利用线性矩阵不等式的方法，给出了误差系统和滑模动态在给定干扰抑制水平下渐近随机稳定的充分条件。最后，通过一个算例说明了该方法的有效性。版权所有©2013 John Wiley&Sons，Ltd.
The paper is devoted to investigating sliding mode control for a class of nonlinear uncertain stochastic systems with input nonlinearity and Markovian switching. A nonfragile observer subjected to the transition rates of the modes is designed. By some specified matrices, the connections among the designed sliding surfaces corresponding to every mode are established. The state estimation‐based sliding mode control law is derived to guarantee the reachability of the sliding surface in finite time interval. The sufficient conditions on asymptotically stochastic stability of the error system and sliding mode dynamics with a given disturbance attenuation level are derived in terms of linear matrix inequalities. Finally, an example is provided to illustrate the efficiency of the proposed method. Copyright © 2013 John Wiley & Sons, Ltd.