二次型最优控制与PID参数的整定

Quadratic Optimal Control and PID Regulator Parameter Adjustment

  • 摘要: 本文对于离散时间的线性定常系统,讨论了PID调节器与二次型性能指标下的最优反馈控制律的关系,同时给出PID参数的一种最优整定方法.我们以持久机的炉温控制系统(二输入-二揄出的线性定常系统)为例,说明如何建立系统的数学模型和整定PID参数,并对所设计的PID调节器进行数字模拟和现场试用,其结果表明,在稳态情况下,本文所给出的PID参数整定方法是简便可行的.

     

    Abstract: This paper discusses relationship between digital PID regulator and optimal feed back control for quadratic performance index with regard to discrete time linear time-invariant systems,presenting a method of optimally adjusting PID regulator parameters.As an ex醡ple,we consider the temperature control system(2 input/2 output linear time-invariant system) of creep testing furnace.Digital simulation and field test demonstrates that the method presented in this paper is useful and convenient,under steady-state conditions.

     

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