高阶反向响应过程的分数阶PID控制器设计

针对具有反向响应特性的高阶过程,提出了一种分数阶PID控制器设计方法.为了便于控制器设计,采用一种改进的微粒群优化算法对高阶过程模型进行简化处理,在此基础上,根据内模控制原理设计分数阶PID控制器,该控制器仅有一个可调参数,有效降低了控制器整定的复杂度,并根据最大灵敏度指标推导出控制器参数整定的解析表达式,克服了参数选择的盲目性.仿真结果表明,该方法可使系统具有良好的设定值跟踪、扰动抑制特性以及克服参数摄动的鲁棒性.

Design of a Fractional Order PID Controller for High-Order Process with Inverse Response

Abstract： A method for designing fractional order (FO) PID controller for the high-order process with inverse response was proposed in this paper. In order to easily design the controllers, the model of high-order process was simplified using a modified particle swarm optimization (PSO) algorithm. Based on the simplified model, a fractional order PID controller was designed according to the principle of internal model control (IMC). Since the controller has only one adjustable parameter, the complexity of the controller tuning is effectively reduced. According to the maximum sensitivity index, the analytical expressions of the controller parameter tuning was deduced, and the blindness of selecting the parameters was overcome. The simulation results show that this method can enable the system to have good set-point tracking, disturbance rejection characteristics and robustness against the parameter perturbation of system.