直流变换器的区域极点配置鲁棒PID控制算法

为提高直流变换器对干扰及不确定因素的鲁棒性,提出了一种基于线性矩阵不等式(LMI)的鲁棒PID控制器算法.PID控制器的参数应用区域极点配置(RPA)的方法来整定.考虑受控系统需对干扰具有鲁棒性,将PID控制和H_∞控制相结合,以LMI形式给出H_∞PID控制器的可解性条件.设计的控制器使得闭环系统满足闭环极点分布在指定区域内以获得期望的动态特性,以及对外部噪声的抑制具有最大H_∞鲁棒性能界.此外,该控制器设计方法也可应用于参数不确定的多胞型直流变换器系统.Buck变换器的确定和不确定系统的仿真实验验证了该控制算法的正确性和有效性.

Regional Pole Assignment Robust PID Control Algorithm for DC DC Converter

In order to improve the robustness of DC DC converters with disturbances and uncertainties， a robust PID control algorithm was proposed on the basis of the linear matrix inequality (LMI). The PID parameters were tuned by the regional pole assignment(RPA). Taking into account the controlled system robustness against disturbances， the H∞ control was combined with PID control， and solvability condition for the existence of H∞ PID controller was derived in the form of LMI. The designed controller is such that the closed loop system poles are assigned in a specific region in order to obtain anticipant dynamical characteristics， and the closed loop system has an H∞ disturbance attenuation upper bound. Further， the proposed design method can be applied to the DC DC converters with polytopic uncertain parameters. The simulation results of both certain model and uncertain model of buck converters demonstrated the validity and effectiveness of the proposed control strategy.