摘要
通过分析一类具有Markov跳跃参数的不确定混合线性系统的随机稳定性问题,将确定型系统中的Lasalle稳定性定理推广到混合系统中,并对系统不确定部分的未知范数上界提出了一种参数自适应估计方法及相应的鲁棒控制律,实现了混合线性系统以概率1渐近稳定.研究结果表明,此控制方案对混合线性系统的不确定部分有较强的鲁棒性.
The stochastic stability for a class of uncertain hybrid linear systems with Markovian jumping parameters was discussed.A new Markovian umping version of the well-known Lasalle stability theorem was presented.Then a parameter adaptive estimation and a robust adaptive control law are proposed for the uncertain hybrid linear systems with unknown norm upper bounds that guarantee the asymptotic stability with probability 1 for the systems.The results show that the method of this adaptive control is useful for uncertain hybrid linear systems.
基金
国家自然科学基金资助项目(60274012).
关键词
混合线性系统
随机稳定
鲁棒自适应控制
hybrid linear systems
stochastic stability
robust adaptive control
