Adaptive Tracking for Stochastic Nonlinear Systems With Markovian Switching $ $
Adaptive Tracking for Stochastic Nonlinear Systems With Markovian Switching $ $
复制标题
DOI：
10.1109/tac.2010.2051090
复制
发表时间：
2010-05
影响因子：
6.8
通讯作者：
Zhaojing Wu;Jun Yang;P. Shi
中科院分区：
文献类型：
--
作者：
Zhaojing Wu;Jun Yang;P. Shi
本文考虑了一类具有平稳马尔可夫切换的随机非线性系统的自适应跟踪问题。针对带有关于鞅测度积分的随机积分方程，提出了一个伊藤公式。设计了一种自适应反推控制器，使得闭环系统具有唯一解，该解在概率意义下全局有界，并且跟踪误差的$L_4$范数收敛到零的任意小邻域。一个仿真例子验证了所提方案的有效性。
The problem of the adaptive tracking for a class of stochastic nonlinear systems with stationary Markovian switching is considered in this note. An Ito formula is proposed for stochastic integral equations with an integral about martingale measure. An adaptive backstepping controller is designed such that the closed-loop system has a unique solution that is globally bounded in probability and L4-norm of the tracking error converges to an arbitrarily small neighborhood of zero. A simulation example demonstrates the efficiency of the proposed scheme.