马氏参数非精确可测得情况下的线性跳跃系统鲁棒自适应控制  

Robust and adaptive control for jump linear systems under imprecise detection of Markovian jumping parameters

作　　者：康宇[1] 奚宏生[1] 季海波[1] 

机构地区：[1]中国科学技术大学自动化系,安徽合肥230027

出　　处：《中国科学技术大学学报》2006年第2期176-182,共7页JUSTC

基　　金：国家自然科学基金(60274012)资助

摘　　要：讨论了一类不确定混合线性系统在其Markov跳跃参数所处模态非精确可测得情况下的鲁棒自适应控制问题.基于混合系统模式下的LaSalle稳定性定理,对系统不确定部分的未知范数上界给出了一种参数自适应估计方法并设计了相应的鲁棒自适应控制律,实现了不确定混合线性系统以概率1渐近稳定.设计了仅依赖于跳跃参数的非精确测量值的鲁棒控制律.仿真结果验证了该方案的有效性.The robust and adaptive control problems for a class of uncertain hybrid linear systems with the imprecise detection values of Markovian jumping parameters were studied. According to LaSalle stability theorem for Markovian jumping systems, a robust parameter adaptive control law was proposed, which guarantees the asymptotic stability of the jump systems with probability one. A key feature of this scheme is that the controller design depends only on the inaccurate measurement of the jumping parameters, and no prior knowledge of the norm upper bounds of the system uncertainties is required. Simulation results show the effectiveness of proposed control scheme.

关 键 词：混合线性系统 LaSalle稳定性定理 鲁棒自适应控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]