基于MATLAB的Routh稳定判据实现  

Implementation of the Routh Stability Criterion Based on MATLAB

作　　者：李春锋[1] 史军[1] 黄锦[1] 

机构地区：[1]河西学院机电工程系,甘肃张掖734000

出　　处：《河西学院学报》2010年第2期33-37,共5页Journal of Hexi University

摘　　要：稳定性是控制系统的能够正常工作的首要条件,判定控制系统稳定性的算法很多,本文对经典控制理论中的Routh稳定判据及其两种特殊情况进行了较为详细的讨论,并给出了采用这种代数判据进行稳定性判定的程序代码.代码的运行可以快速给出系统稳定性判定的Routh表格和所验证系统是否稳定的确切信息.最后,通过对一个具体的系统实例进行了仿真验证发现.本文方法的判定结论和系统仿真结论相同,即系统稳定,说明给定程序代码的正确性.Stability is the first condition for the control system to work properly;there are many methods to determinate the stability of control system,a more detailed discussion about the Routh Stability Criterion and its two special cases are given in this paper,the program code which can calculate the system stability based on Routh stability criterion are given too,the result on Routh table which was used to determinate the system stability and accurate information of the system stability can be acquired through running the program code.Lastly,the conclusion on the given method in this paper and the Simulation result is the same,the system is stable,indicating the correctness of the given program code.

关 键 词：Routh表 Routh稳定判据 MATLAB 仿真 

分 类 号：O245[理学—计算数学]