确保鲁棒性能的PID控制器参数域的一种确定方法  

A method to determine the admissible set of PID controller (parameters) with robust performance

作　　者：曾振平[1] 陈增强[1] 袁著祉[1] 

机构地区：[1]南开大学信息技术科学学院,天津300071

出　　处：《控制与决策》2005年第4期382-387,共6页Control and Decision

基　　金：国家自然科学基金项目(60374037);南开大学科技创新研究基金(2004-016).

摘　　要：研究了将混合灵敏度的H∞范数作为PID控制器的鲁棒设计指标时,控制器参数的可行域确定问题.首先将混合灵敏度的H∞范数要求转化为一族复系数多项式的稳定性要求,再加上基本闭环特征多项式的稳定性,通过求解这些含参数多项式的稳定性,解出参数的可行域.在求解多项式稳定性的过程中,采用了推广的Hermite-Biehler定理.The determination of the admissible set of controller parameters is dealt with when taking the H-infinite norm of the mixed sensitivity as an objection index for the PID controller design. The mixed sensitivity requirement can be translated into the stabilization of a family of complex polynomials. It still needs to stabilize the close-loop characteristic polynomial. By stabilizing these polynomials with PID controller parameters in their coefficients, the admissible set of the parameters is obtained. The Hermite-Biehler theorem is the primary tool in the polynomial (stabilizing) problem.

关 键 词：PID控制器 鲁棒性能 混合灵敏度 多项式稳定性 参数可行域 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]