确定鲁棒稳定多项式摄动界的根轨迹方法  

The Solution of Perturbation Bounds for the Robust Stability of Polynomials by Means of Root Locations

作　　者：袁廷奇[1] 田晓皋[1] 刘文江[1] 

机构地区：[1]西安交通大学自控系,710049

出　　处：《系统工程与电子技术》2000年第5期46-48,共3页Systems Engineering and Electronics

摘　　要：确定稳定多项式的摄动界是系统鲁棒性研究的重要方法之一 ,通常使用代数方法来求解[1,2 ] 。对稳定多项式的摄动界给出了用根轨迹来确定的方法 ,避免了代数求解过程中复杂的约束条件 。One of the important methods to study robustness of system is determination of the perturbation bounds of stable polynomials. It is solved usually by algebra. A new method to solve robust perturbation bounds of polynomials by means of root locations is presented in this paper, and the complex constrain conditions in the process of solution are avoided. Meanwhile the method presented in the paper is clear in concept, simple and powerful in practice. Finally, an example is given to show its efficiency.\;

关 键 词：多项式 稳定性 系统鲁棒性 摄动界 

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