基于饱和脉冲控制的不确定系统的鲁棒镇定  

On Robust Stabilization for Uncertain Systems Based on Saturatedly Impulsive Control

作　　者：黎艳[1] 

机构地区：[1]百色学院数学与计算机信息工程系,广西百色533000

出　　处：《西南师范大学学报（自然科学版）》2014年第3期53-59,共7页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：广西自然科学基金重点项目(2013GXNSFDA019003);广西自然科学基金资助项目(2011GXNSFA018141);广西高校科学技术研究立项项目(2013LX148);百色学院科学研究项目(2013KB05)

摘　　要：首先,设计状态反馈控制律,采用脉冲控制及不连续的Lyapunov函数方法,分析了具有范数有界的不确定饱和脉冲系统在脉冲影响下的指数稳定性.结合饱和函数的凸组合表示,给出零解鲁棒指数稳定的充分条件以及零解吸引域的估计,该零解指数稳定的充分条件依赖于脉冲区间的上下界,降低了结果的保守性.然后,基于线性矩阵不等式,将状态反馈镇定的设计问题转化为凸优化问题.最后,通过数值例子验证了有效性.Uncertain system with saturating impulse has been considered in this paper.First,explicit state feedback control has been designed and impulse control and uncontinuous piecewise Lyapunov functions ap-plied to analyze the exponential stability of uncertain system by the influence of impulse.Combining with the convex combination of saturation function,an evaluation of stability domains of the zero solution has been given,as well as the sufficient conditions of robust exponent stability of the zero solution,which de-pend on the upper and lower bounds of impulse interval to lower down the conservation of the results.Sec-ond,based on linear matrix inequality,the design problem of state feedback stabilization is turned into a problem of convex optimization.Finally,a numerical example has been given to prove the validity of the results of the paper.

关 键 词：脉冲控制 时变 LYAPUNOV函数 饱和执行器 吸引域 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]