Self-tuning IMC-PID control with interval gain and phase margins assignment

The idea of pole-region assignment is extended to interval gain and phase margin assignment. The internal model control proportional-integral-derivative (IMC-PID) design is examined from the frequency domain point of view. Equations for typical frequency domain specifications such as gain margin, phase margin and bandwidth are derived for the IMC-PID design. The gain and phase margins are monitored in real time and a self-tuning controller with interval gain and phase margin assignment is proposed. An implementation example in the laboratory is also given.

[1]  Carlos E. Garcia,et al.  Internal model control. A unifying review and some new results , 1982 .

[2]  Weng Khuen Ho,et al.  Tuning of PID controllers based on gain and phase margin specifications , 1995, Autom..

[3]  Weng Khuen Ho,et al.  Performance and gain and phase margins of well-known PID tuning formulas , 1995, IEEE Trans. Control. Syst. Technol..

[4]  Karl Johan Åström,et al.  PID Controllers: Theory, Design, and Tuning , 1995 .

[5]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

[6]  I-Lung Chien,et al.  Consider IMC Tuning to Improve Controller Performance , 1990 .

[7]  Evanghelos Zafiriou,et al.  Robust process control , 1987 .

[8]  Chang Chieh Hang,et al.  Performance and gain and phase margins of well-known PI tuning formulas , 1995, IEEE Trans. Control. Syst. Technol..

[9]  Sang Bong Kim,et al.  Pole assignment in a specified disk , 1987 .

[10]  K. V. Ling,et al.  Generalised predictive controller with pole restriction , 1998 .

[11]  Etsujiro Shimemura,et al.  Determining quadratic weighting matrices to locate poles in a specified region , 1983, Autom..

[12]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[13]  Andrew Bartlett,et al.  Robust Control: Systems with Uncertain Physical Parameters , 1993 .

[14]  Chang-Chieh Hang,et al.  Frequency domain approach to self-tuning PID control , 1996 .

[15]  Chang-Chieh Hang,et al.  Generalised minimum-variance stochastic self-tuning controller with pole restriction , 1991 .

[16]  Chang Chieh Hang,et al.  Towards intelligent PID control , 1989, Autom..

[17]  Tore Hägglund,et al.  Automatic Tuning and Adaptation for PID Controllers - A Survey , 1992 .

[18]  W. K. Ho,et al.  Knowledge-based multivariable PID control , 1998 .

[19]  Shankar P. Bhattacharyya,et al.  Robust Control: The Parametric Approach , 1995 .

[20]  Tore Hägglund,et al.  Automatic Tuning and Adaptation for PID Controllers—A Survey , 1992 .

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

[22]  Robin J. Evans,et al.  Constrained pole-placement using transformation and LQ-design , 1987, Autom..

[23]  Rolf Johansson,et al.  System modeling and identification , 1993 .