基于Routh准则的分数阶相位整形器设计用于等阻尼控制系统
Fractional Order Phase Shaper Design with Routh's Criterion for Iso-damped Control System
AI总结：
提出一种基于Routh表格的分数阶相位整形器设计方法，通过使开环系统相位平坦化，实现闭环系统的等阻尼特性（增益和参数变化时超调量恒定），并在二阶直流电机和一阶时滞系统上通过MATLAB仿真验证。
摘要：
如果开环系统的相位对频率的导数为零，则其相位曲线本质上是平坦的。具有平坦相位曲线的相应闭环系统表现出等阻尼特性，即随着增益和其他参数的变化保持恒定的超调量。在最近的应用中，当代研究者提出了分数阶相位整形器以实现增强的参数鲁棒性。本文提出了一种基于简单Routh表格的方法来设计合适的分数阶相位整形器，以在包含由经典PID控制器控制的系统的控制回路中实现相位平坦化。该方法通过二阶直流电机对象和一阶时滞系统的MATLAB仿真进行了演示。
英文摘要：
Phase curve of an open loop system is flat in nature if the derivative of phase with respect to frequency is zero. With a flat phase curve, the corresponding closed-loop system exhibits an iso-damped property i.e. maintains constant overshoot with the change of gain and with other parametric variations. In recent past application, fractional order (FO) phase shapers have been proposed by contemporary researchers to achieve enhanced parametric robustness. In this paper, a simple Routh tabulation based methodology is proposed to design an appropriate FO phase shaper to achieve phase flattening in a control loop, comprising a system, controlled by a classical PID controller. The method is demonstrated using MATLAB simulation of a second order DC motor plant and also a first order with time delay system.
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