Fractional Order PI Controller Design for Non-Monotonic Phase Systems

Abstract In this paper, a fractional order proportional-integral (FOPI) controller is proposed for controlling the non-monotonic decreasing phase DC-buck regulator system. The parameters of FOPI controller are optimized by Nelder's-Mead (NM) method. The FOPI controller provides fast closed-loop performance as well as improves the robust properties of the system in time and frequency domain. The controller preserves the monotonic phase between the desired bandwidth and improves the characteristic performance of the system. The proposed method is validated by comparing the time domain as well as frequency domain characteristics with the integer order proportional-integral (IOPI) controllers tuned using various techniques.

[1]  K. L. Chien,et al.  On the Automatic Control of Generalized Passive Systems , 1952, Journal of Fluids Engineering.

[2]  YangQuan Chen,et al.  Efficient control of a SmartWheel via Internet with compensation of variable delays , 2013 .

[3]  K. Åström,et al.  Revisiting the Ziegler-Nichols step response method for PID control , 2004 .

[4]  I. Podlubny.  Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[5]  Guoqiang Zeng,et al.  Design of fractional order PID controller for automatic regulator voltage system based on multi-objective extremal optimization , 2015, Neurocomputing.

[6]  Hossein Shayeghi,et al.  Optimal design of a robust discrete parallel FP + FI + FD controller for the Automatic Voltage Regulator system , 2015 .

[7]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[8]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[9]  Luis Henrique de Carvalho Ferreira,et al.  An Improved Analytical PID Controller Design for Non-Monotonic Phase LTI Systems , 2012, IEEE Transactions on Control Systems Technology.

[10]  Saeed Balochian,et al.  Design of Optimal Fractional-Order PID Controllers Using Particle Swarm Optimization Algorithm for Automatic Voltage Regulator (AVR) System , 2013 .

[11]  Saptarshi Das,et al.  Chaotic multi-objective optimization based design of fractional order PIλDμ controller in AVR system , 2012, ArXiv.

[12]  M. Morari,et al.  Internal model control: PID controller design , 1986 .

[13]  YangQuan Chen,et al.  Fractional order PID control of a DC-motor with elastic shaft: a case study , 2006, 2006 American Control Conference.