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基于MINC方法的脉冲随机混合系统镇定与鲁棒稳定性分析

Stabilization and robust stability for impulsive stochastic systems based on MINC
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摘要 直接利用fmincon函数(MINC)研究一类在切换时刻具有脉冲行为的Markov切换随机系统.首先给出系统依概率稳定的充分条件,设计了系统的鲁棒镇定控制器,并进行了稳定性分析;然后给出了相应的状态反馈增益矩阵和脉冲增益矩阵的求解方法;最后,通过一个数值算例表明所设计方法的有效性.通过研究可知,许多控制系统的分析和综合问题均可以转化为MINC进行求解. The paper studies a class of Markovian switching stochastic systems which exist impulses at the switching instants using the fmincon function（MINC）. Firstly, sufficient conditions for stability in probability of the overall system are given. Furthermore, the stability and robust stabilizing controller are analyzed and designed, and the state feedback gain matrix and the impulsive control gain matrix of the system are obtained. Finally, a numerical example shows the effectiveness of the proposed approach. Through this study, it can be shown that many analysis and synthesis problems of the control systems can be dealt with by using MINC.
作者 李洪奎 武玉强
机构地区 曲阜师范大学自动化研究所
出处 《控制与决策》 EI CSCD 北大核心 2013年第10期1547-1553,共7页 Control and Decision
基金 国家自然科学基金项目(60974127 61273091 61273123) 山东省自然科学青年基金项目(ZR2010EQ014)
关键词 脉冲系统 MINC方法 Markov切换 依概率稳定 鲁棒稳定性 impulsive system fmincon function Markovian switching stable in probability robust stability
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献18

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控制与决策
2013年 第10期

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