Lur′e系统的扰动抑制分析  

Analysis of Disturbances Rejection for Lur'e Systems

作　　者：郝飞[1] 楚天广[1] 黄琳[1] 

机构地区：[1]北京大学力学与工程科学系

出　　处：《应用数学和力学》2003年第3期282-288,共7页Applied Mathematics and Mechanics

基　　金：国家重点基础研究专项经费资助项目(G1998020302);自然科学基金资助项目(19872005;69925307)

摘　　要：　用不变集方法分析了有范数摄动的单输入单输出(SISO)Lur'e系统持续有界扰动的抑制问题·　通过Liapunov函数得到了用一组线性矩阵不等式(LMI)条件给出的扰动抑制和绝对稳定性结果·　分析了这一条件的可行性。The analysis of disturbance rejection for singe_input singe_output(SISO) Lur'e system with norm uncertainty was concerned through invariant set analysis using Lyapunov function method. The conditions on robust ellipsoidal attractor for uncertain Lur'e systems were given in terms of LMIs (Linear Matrix Inequality),which simultaneously ensure the absolute stability and disturbance rejection of the uncertain Lur'e systems.An estimate of the maximum set included in a robust ellipsoidal attractor was also presented.Finally,a numerical example was worked out to illustrate the main results.

关 键 词：Lur′e系统 扰动抑制 正不变集 鲁棒吸引子 有界扰动 

分 类 号：O175.1[理学—数学]