Alagoz Baris Baykant, Deniz Furkan Nur, Keles Cemal, Tan Nusret
Inonu University, Electrical-Electronics Engineering, Turkey.
ISA Trans. 2015 Mar;55:63-71. doi: 10.1016/j.isatra.2014.09.013. Epub 2014 Oct 11.
This study investigates disturbance rejection capacity of closed loop control systems by means of reference to disturbance ratio (RDR). The RDR analysis calculates the ratio of reference signal energy to disturbance signal energy at the system output and provides a quantitative evaluation of disturbance rejection performance of control systems on the bases of communication channel limitations. Essentially, RDR provides a straightforward analytical method for the comparison and improvement of implicit disturbance rejection capacity of closed loop control systems. Theoretical analyses demonstrate us that RDR of the negative feedback closed loop control systems are determined by energy spectral density of controller transfer function. In this manner, authors derived design criteria for specifications of disturbance rejection performances of PID and fractional order PID (FOPID) controller structures. RDR spectra are calculated for investigation of frequency dependence of disturbance rejection capacity and spectral RDR analyses are carried out for PID and FOPID controllers. For the validation of theoretical results, simulation examples are presented.
本研究通过参考干扰比（RDR）来研究闭环控制系统的抗干扰能力。RDR分析计算系统输出端参考信号能量与干扰信号能量之比，并基于通信信道限制对控制系统的抗干扰性能进行定量评估。本质上，RDR为比较和改进闭环控制系统的隐式抗干扰能力提供了一种直接的分析方法。理论分析向我们表明，负反馈闭环控制系统的RDR由控制器传递函数的能量谱密度决定。通过这种方式，作者推导了PID和分数阶PID（FOPID）控制器结构的抗干扰性能规格设计准则。计算RDR谱以研究抗干扰能力的频率依赖性，并对PID和FOPID控制器进行频谱RDR分析。为验证理论结果，给出了仿真示例。
