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基于区间多项式稳定性理论的PID控制器 被引量:5

PID controllers based on the interval polynomial stabilization theorem
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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.
出处 《清华大学学报(自然科学版)》 EI CAS CSCD 北大核心 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)
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 thermal processes control interval polynomial Kharitonov theorem PID parameters tuning robustness
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参考文献8

  • 1Kharitonov V L. Asymptotic stability of an equilibrium position of a family of systems of linear differential equations [J]. Differential Equations, 1978, 14: 2086- 2088. (inRussian)
  • 2Bartlett A C, Hollot C V, Huang L. Root locations of an entire polytope of polynomials: It suffices to check the edges [J]. Math, Control, Signal, and Systems, 1988, 1(1):61 - 71.
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  • 5宋春雷,王龙,黄琳.概率方法在鲁棒控制器综合中的应用[J].北京大学学报(自然科学版),2000,36(3):358-364. 被引量:2
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