Predictive control system with proportional-integral structure and stability analysis

Abstract

Abstract: Based on Generalized Predictive Control（GPC） and PID feedback control，the predictive control system with Proportional-Integral（PI） structure introduced by this paper transforms GPC objective performance function into one with PI structure.The controller outputs multi-step control sequence according to the objective performance function and feedback delay.Delay compensator picks out control signal from the sequence to compensate time delay.So the system performance is improved greatly.Combining PID control and predictive control advantages，the controller has strong robustness.The stability of the closed-loop system is analyzed.Simulation results demonstrate the effectiveness of the algorithm.

Key words: networked control system, networked time delay, predictive control, PID control

摘要： 将PID反馈原理引入广义预测控制（GPC）思想，把GPC目标性能函数改造成具有PI的结构形式，根据反馈时延导出多步控制序列，通过时延补偿器对前向时延进行补偿，使控制性能在网络环境下得到极大改善。控制器结合了PID控制和预测控制的优点，具有较强的鲁棒性和工程意义。构造Lyapunov函数对闭环系统的稳定性进行分析，并通过仿真验证了该算法的有效性。

关键词: 网络控制系统, 网络时延, 预测控制, PID控制

FU Wei, YANG Xianyi, CHAI Yi, LIU Guoquan. Predictive control system with proportional-integral structure and stability analysis[J]. Computer Engineering and Applications, 2012, 48(17): 10-15.

付伟，杨先一，柴毅，刘国权. 网络控制系统PI预测控制及稳定性分析[J]. 计算机工程与应用, 2012, 48(17): 10-15.

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Predictive control system with proportional-integral structure and stability analysis

网络控制系统PI预测控制及稳定性分析

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