概率鲁棒镇定控制器的研究

Research on Probabilistic Robust Stabilizing Controller

  • 摘要: 将统计学习理论中的经验概率一致收敛特性应用到鲁棒控制中,针对具有实参数不确定性的控制系统,研究了概率鲁棒镇定控制器的设计问题.给出了设计概率鲁棒镇定控制器的前提条件,采用基于经验概率一致收敛特性的随机化算法设计概率鲁棒镇定控制器的具体步骤和方法.研究表明,与传统方法相比,在概率意义下采用随机化算法设计概率鲁棒镇定控制器具有设计方法简单、计算量小的优点.计算实例表明了该算法的有效性.

     

    Abstract: The UCEP (uniform convergence of empirical probability) property that is a concept from statistical learning theory is combined with robust control. The design of the probabilistic robust stabilizing controller for control systems involving real parameter uncertainty is studied. Randomized algorithms based on the UCEP property are presented to solve probabilistic robust stabilizing controller design problems. Compared to traditional methods, randomized algorithms are more convenient to be used and can decrease the computational complexity dramatically. An example shows the efficiency of randomized algorithms.

     

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