线性不确定时滞系统的时滞相关H^(∞)控制  

DelayDependent H^(∞) Control for Linear Uncertain Systems with TimeDelay

作　　者：邵克勇[1] 景丽[1] 高立群[1] 

机构地区：[1]东北大学信息科学与工程学院，辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2002年第11期1029-1032,共4页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(79970114);教育部博士学科点专项科研基金资助项目(97014508)

摘　　要：基于动态耗散理论和微分对策理论,研究了确定性和不确定性线性时滞系统的时滞相关H∞状态反馈控制器的设计问题·将鲁棒控制器设计问题转化为非合作对策中目标函数求解鞍点问题,并针对确定性和不确定性线性时滞系统分别得到了控制器存在的充分条件·对于不确定线性时滞系统可以通过求解线性矩阵不等式进行时滞相关H∞鲁棒控制器设计,使系统内稳且具有H∞干扰衰减系数λ·而对于确定性线性时滞系统仅需要验证一个线性矩阵不等式,使设计问题得以简化·?The design of H∞ state feedback controllers depending on the timedelays were considered for certain and uncertain linear systems with timedelay,based on dissipative dynamical system theory and differential game theory. The design of robust controllers was changed to the calculation of saddle point for a object function in noncooperative game. Two sufficient conditions were obtained respectively for certain and uncertain linear systems with timedelay respectively. The delaydependent H∞ robust controllers were designed for uncertain linear systems with timedelay by solving linear matrix inequalities. The controlled systems are internal stable and have the decrease coefficient λ of H∞ disturbance. For certain linear systems with timedelay, the design could be simplified by only checking a linear matrix inequalities.

关 键 词：线性不确定系统 H^(∞)控制 时滞 耗散不等式 微分对策 LMI 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231.1[自动化与计算机技术—控制科学与工程]