基于区间多项式稳定性理论的PID控制器  

PID controllers based on the interval polynomial stabilization theorem

作　　者：徐峰[1] 李东海[1] 薛亚丽[1] 李政[1] 

机构地区：[1]清华大学热能工程系热能动力仿真与控制研究所,北京100084

出　　处：《清华大学学报（自然科学版）》2003年第12期1642-1645,共4页Journal of Tsinghua University(Science and Technology)

基　　金：国家"九五"科技攻关项目(2001BA401A03-07)

摘　　要：为了研究热工过程鲁棒PID控制系统的分析和设计,针对具有参数不确定性的区间对象,根据Kharitonov定理及其广义定理,对PID控制系统的鲁棒性进行了分析,利用判断控制系统鲁棒性的充分条件、必要条件和充要条件,提出了一种针对区间对象进行鲁棒PID控制器设计和分析的方法和步骤。通过涡轮机负载的仿真控制实验,表明该方法在保证鲁棒性的同时,简化了分析和设计的计算量。The robustness of PID control systems was analyzed using the Kharitonov theorem and the generalized Kharitonov theorem for processes whose parameters vary within definite intervals such as thermal control systems. A procedure was developed for the design of robust PID controllers for such processes for sufficient conditions, necessary conditions, and necessary and sufficient conditions of robust PID control systems. The simulations show that the calculations can be reduced for turbine load control system analysis and design while maintaining robustness.

关 键 词：区间多项式 稳定性理论 PID控制器 热工自动控制 Kharitonov定理 鲁棒性 PID参数整定 

分 类 号：TK32[动力工程及工程热物理—热能工程]