基于广义无源的输入非仿射系统的H∞控制律设计-OALib.PDFVIP

第15 卷第5 期 2000 年9 月 Vol. 15 No . 5 CON TR OL AN DDE CISION Sept. 2000 H * 胡中骥　施颂椒　翁正新 ( 200030) 基于动态耗散的一般理论, 提出了具有任意非线性输入端的非线性系统的一 新的控制器设 计方法。该方法解决了以下两 个问题: 1) 当系统严格广义无源时, 设计非线性输出反馈使闭环系统稳定; 2) 当系统非广义严格无源时, 设计同时具有状态反馈和输出反馈的双闭环控制器, 使得闭环系统内稳且 具有H ∞ 干扰衰减。对于线性系统, 所设计的问题转化为对LMI 和ARE 的求解问题。 无源性, 耗散性, 输出反馈, H ∞ 控制, 线性矩阵不等式 TP 27 H Controller Design for Systems with Nonaffine Input Based on Generalized Passivity , , H u Zhongj i Shi Songj iao Weng Zhengxin ( Sh ngh i Ji otong University) , Abstract B sed on dissip t ive dyn mic l systems theory new controller design ppro ch h s been . developed for nonline r sy stems with bsolute nonline r block t t he input termin l Tw o problems re considered. One is t he st biliz t ion problem of strictly left-K p ssive sy stem w ith speci l modified . H . , nonline r output feedb ck T he other is the st biliz tion problem In this c se st te feedb ck nd output feedb ck re sim ult neously employed to m ke the biloop system be int ern lly st ble nd to gu r ntee disturb nce t tenu t ion. For line r sy st ems, the bove problems w ere converted to t he problem s of solving LMI nd A RE. , , , H , ey words p ssivity dissip tivity output feedb ck control line r m trix inequ lity 1引　　言