Design of PID Controller for Higher Order Continuous Systems using MPSO based Model Formulation Technique

This paper proposes a new algebraic scheme to design a PID controller for higher order linear time invariant continuous systems. Modified PSO (MPSO) based model order formulation techniques have applied to obtain the effective formulated second order system. A controller is tuned to meet the desired performance specification by using pole-zero cancellation method. Proposed PID controller is attached with both higher order system and formulated second order system. The closed loop response is observed for stabilization process and compared with general PSO based formulated second order system. The proposed method is illustrated through numerical example from literature.

[1]  C. F. Chen,et al.  A novel approach to linear model simplification , 1968 .

[2]  D. P. Atherton,et al.  Automatic tuning of optimum PID controllers , 1993 .

[3]  Zwe-Lee Gaing,et al.  A particle swarm optimization approach for optimum design of PID controller in AVR system , 2004 .

[4]  Hikaru Inooka,et al.  Design of a Digital Controller Based on Series Expansions of Pulse Transfer Functions , 1983 .

[5]  Zwe-Lee Gaing A particle swarm optimization approach for optimum design of PID controller in AVR system , 2004, IEEE Transactions on Energy Conversion.

[6]  S. N. Deepa,et al.  MPSO based Model Order Formulation Technique for SISO Continuous Systems , 2011 .

[7]  V. Krishnamurthy,et al.  Model reduction using the Routh stability criterion , 1978 .

[8]  Tanja Urbancic,et al.  Genetic algorithms in controller design and tuning , 1993, IEEE Trans. Syst. Man Cybern..

[9]  V. Zakian,et al.  Simplification of linear time-invariant systems by moment approximants † , 1973 .

[10]  Shankar P. Bhattacharyya,et al.  New results on the synthesis of PID controllers , 2002, IEEE Trans. Autom. Control..

[11]  P. Gutman,et al.  Contributions to the model reduction problem , 1982 .

[12]  Luis A. Aguirre PID tuning based on model matching , 1992 .

[13]  Kai Shing Yeung,et al.  Bode design charts for continuous-time and discrete-time compensators , 1995 .

[14]  K. S. Rattan Digitalization of existing continuous control systems , 1984 .

[15]  Jun Zhao,et al.  Application of Particle Swarm Optimization Algorithm on Robust PID Controller Tuning , 2005, ICNC.

[16]  R. C. Mittal,et al.  Model order reduction using response-matching technique , 2005, J. Frankl. Inst..

[17]  Yuhui Shi,et al.  Particle swarm optimization: developments, applications and resources , 2001, Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No.01TH8546).

[18]  J. G. Ziegler,et al.  Optimum Settings for Automatic Controllers , 1942, Journal of Fluids Engineering.

[19]  C. Hang,et al.  Refinements of the Ziegler-Nichols tuning formula , 1991 .