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控制工程(系统)的经典力学原理

Classical Mechanics Principle of Control Engineering(System)
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摘要 控制工程(系统)的经典力学原理在于能够精确构建和估计被控系统的输出位置,速度和加速度三个状态变量,应用牛顿定律对这三个状态变量作出闭环负反馈控制,使得系统输出跟踪期望的输出轨迹.在文献(开平安和申忠利,2022)中,在匀加速运动方程基础上,应用卡尔曼滤波器设计了OUAM观测器(Observer based on Uniform Acceleration Movement),基于牛顿定律设计了无模型控制MFCNLM系统(Model-Free Control based on Newton’s Laws of Motion),控制系统的所有参数设计不需要被控对象的模型,仅需控制工程师给出闭环控制系统输出期望的过渡过程时间T.文章在文献(开平安和申忠利,2022)的基础上,着重分析了牛顿定律在OUAM观测器和MFCNLM系统中的理论和应用,论证了OUAM观测器的无偏性和MFCNLM系统的有效性,分析和论证了MFCNLM系统,PID和PIDCC系统在控制系统设计上的经典力学统一性,分析和设计了在具有纯延时环节时变系统中的一种简单而有效的方法.仿真结果论证了MFCNLM系统和具有补偿器的PIDCC系统在应用这种方法后提高了纯延时环节时变系统的控制品质和鲁棒性能. Classical Mechanics Principle of Control Engineering(System) depends on that 3 state variables including position,velocity and acceleration can be accurately constructed and estimated for the controlled system output,and the 3 state variables are used to make negative feedback control functions for the control system based on Newton's Laws of Motion.In the reference paper(Kai P A and Shen Z L,2022),an OUAM observer(Observer based on Uniform Acceleration Movement) is constructed by Kalman filter and an MFCNLM system(Model-Free Control based on Newton's Laws of Motion) is designed based on Newton's Laws of Motion.The desired transient process output of the closed loop system is designed with the desired transient process time T.All parameters in the control system are only calculated based on the desired transient process time T of system output without controlled plan model.From the reference paper(Kai P A and Shen Z L,2022),the theory and application of Newton's Laws of Motion in the MFCNLM system and PIDCC system(PID Control with Compensator) are emphatically analyzed in the paper.The unbiased estimation of OUAM observer and the effectiveness of MFCNLM system are demonstrated.The unity of classical mechanics principle are explained in these control systems.A simple and effective method is designed for time-varying system with time-delay(dead-time)loop in the MFCNLM system and PIDCC system,2 simulation examples in MFCNLM and PIDCC systems demonstrated fine control quality and robust performance of the design method in the paper.
作者 开平安 邓慧 KAI Ping'an;DENG Hui(Energy Research Institute,State Development and Reform Committee of China,Beijing 100055;Energy and Electricity Research Center,Jinan University,Zhuhai 519070)
出处 《系统科学与数学》 CSCD 北大核心 2023年第5期1093-1105,共13页 Journal of Systems Science and Mathematical Sciences
基金 白城发电公司1号机空冷岛冷端优化控制与运行技术研究项目(410011JX20200024)资助课题。
关键词 牛顿定律 补偿器 卡尔曼滤波器 无模型控制设计 匀加速运动方程 Newton's laws of motion compensator Kalman filter model-free con-trol uniform acceleration movement.
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