Fractional Order Phase Shaper Design with Routh's Criterion for Iso-damped Control System
Institute of Electrical and Electronics Engineers (IEEE)
© Copyright 2009 IEEE
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.
The work presented in this paper has been supported by the Board of Research in Nuclear sciences of the Department of Atomic Energy, India. Sanction no 2006/34/34-BRNS dated March 2007.
This is the author accepted manuscript. The final version is available from IEEE via the DOI in this record.
2009 Annual IEEE India Conference (INDICON),Gujarat, India, 18-20 December 2009