Inverse optimal gain assignment control for Markovian jump nonlinear systems

被引：0
|
作者：
Wang, Chuan-Rui [1 ]
Wang, Xing-Hu [1 ]
Ji, Hai-Bo [1 ]
机构：
[1] Department of Automation, University of Science and Technology of China, Hefei Anhui 230027, China
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2013年 / 30卷 / 05期
关键词：
Backstepping - Markov processes - Inverse problems - Combinatorial optimization - System stability - Feedback - Stabilization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The concept of input-to-state stability in probability is introduced and an input-to-state stabilization protocol is proposed for a class of strict feedback Markovian jump nonlinear systems. It is shown that the existence of a group of input-to-state stable control Lyapunov function with small control is a sufficient condition for the solvability of the inverse optimal gain assignment problem. Finally using backstepping method we construct a smooth feedback control law for a class of strict feedback nonlinear systems. To deal with the coupling item caused by Markovian jump the Lyapunov function and the controller are designed independently of the operation mode.
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页码：537 / 542
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