一类Markov跳跃非线性系统的鲁棒自适应镇定  

Robust Adaptive Stabilization for a Class of Markovian Jumping Nonlinear Systems

作　　者：朱进[1] 奚宏生[1] 季海波[1] 李大鹏[1] 

机构地区：[1]中国科学技术大学自动化系,合肥230027

出　　处：《控制与决策》2006年第5期497-502,507,共7页Control and Decision

基　　金：国家自然科学基金项目(60274012)

摘　　要：研究一类具有M arkov跳跃参数的随机非线性系统的鲁棒自适应镇定问题.利用随机控制的Lyapunov设计方法,对受W iener噪声干扰的参数严格反馈形式的跳跃系统,利用backstepp ing方法设计参数自适应律和控制律,使得闭环系统状态在4阶矩意义下全局一致有界,并能收敛到平衡点的任意小邻域内.仿真结果表明了该设计方法的有效性.Robust adaptive control problems for a class of Markovian jumping nonlinear systems are investigated. The stochastic Lyapunov design method is applied for the jumping systems in the form of parametric-strict-feedback driven by Wiener noise. By means of the backstepping method, a parameter adaptive law and a control law are designed to ensure that the states of the closed-loop systems could be globally uniformly bounded in the sense of the 4th moment, and could be within the neighborhood of the equilibrium point as small as possible. The simulation Key words：

关 键 词：随机稳定性 MARKOV跳跃系统 鲁棒自适应控制 

分 类 号：O232[理学—运筹学与控制论]