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.