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具有Markov跳跃参数的一类非线性系统的鲁棒反馈镇定
引用本文:李大鹏,季海波,朱进,奚宏生. 具有Markov跳跃参数的一类非线性系统的鲁棒反馈镇定[J]. 中国科学技术大学学报, 2006, 36(5): 512-516
作者姓名:李大鹏  季海波  朱进  奚宏生
作者单位:中国科学技术大学自动化系,安徽,合肥,230027
基金项目:高等学校博士学科点专项科研项目
摘    要:利用随机控制的Lyapunov设计方法,研究了一类带Markov跳跃参数的随机非线性混合系统的鲁棒控制问题.给出了受方差不确定的Wiener噪声干扰的跳跃严格反馈系统的镇定设计,该设计可使稳态误差在4阶矩意义下收敛到一个小范围内.

关 键 词:随机稳定性  Markov跳跃系统  Backstepping方法  扰动抑制  混合系统
文章编号:0253-2778(2006)05-0512-05
收稿时间:2004-11-02
修稿时间:2005-02-23

The robust feedback stabilization of a class of nonlinear systems with Markovian jumping
LI Da-peng,JI Hai-bo,ZHU Jin,XI Hong-sheng. The robust feedback stabilization of a class of nonlinear systems with Markovian jumping[J]. Journal of University of Science and Technology of China, 2006, 36(5): 512-516
Authors:LI Da-peng  JI Hai-bo  ZHU Jin  XI Hong-sheng
Affiliation:Dept. of Automation, University of Science and Technology of China, Hefei 230027,China
Abstract:The robust control problem of a class of stochastic nonlinear hybrid systems with Markovian jumps was studied. A stochastic Lyapunov design method was applied for parametric strict-feedback systems with Markovian jumps. An effective control scheme is obtained to guarantee that the closed-loop stochastic system is stable and the error could converge to a small residual set around the origin in the sense of 4th moment.
Keywords:stochastic stability   Markovian jump systems   backstepping techniques   disturbance attenuation   hybrid systems
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