PID controllers: recent tuning methods and design to specification

PID control is a control strategy that has been successfully used over many years. Simplicity, robustness, a wide range of applicability and near-optimal performance are some of the reasons that have made PID control so popular in the academic and industry sectors. Recently, it has been noticed that PID controllers are often poorly tuned and some efforts have been made to systematically resolve this matter. In this paper, a brief summary of PID theory is given, then some of the most-used PID tuning methods are discussed and some of the more recent promising techniques are explored.

[1]  S. Kahne Pole-zero cancellations in SISO linear feedback systems , 1990 .

[2]  M. Safiuddin,et al.  Magnitude and symmetric optimum criterion for the design of linear control systems-what is it and does it compare with the others? , 1988, Conference Record of the 1988 IEEE Industry Applications Society Annual Meeting.

[3]  M. Morari,et al.  Control-relevant model reduction problems for SISO H2, H∞, and μ-controller synthesis , 1987 .

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

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

[6]  Kostas Tsakalis,et al.  PID controller tuning by frequency loop-shaping: application to diffusion furnace temperature control , 2000, IEEE Trans. Control. Syst. Technol..

[7]  B. Anderson,et al.  Controller Reduction: Concepts and Approaches , 1987, 1987 American Control Conference.

[8]  D. Luenberger Optimization by Vector Space Methods , 1968 .

[9]  Shankar P. Bhattacharyya,et al.  Computation of all stabilizing PID gains for digital control systems , 2001, IEEE Trans. Autom. Control..

[10]  A. Shenton,et al.  Relative stability for control systems with adjustable parameters , 1994 .

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

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

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

[14]  Shankar P. Bhattacharyya,et al.  Generalizations of the Hermite–Biehler theorem , 1999 .

[15]  A. T. Shenton,et al.  Frequency-domain design of pid controllers for stable and unstable systems with time delay , 1997, Autom..

[16]  Huang Lin,et al.  Root locations of an entire polytope of polynomials: It suffices to check the edges , 1987, 1987 American Control Conference.

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

[18]  A. T. Shenton,et al.  Tuning of PID-type controllers for stable and unstable systems with time delay , 1994, Autom..

[19]  Tore Hägglund,et al.  Automatic Tuning of Pid Controllers , 1988 .

[20]  Neil Munro The systematic design of PID controllers , 1999 .

[21]  Kostas Tsakalis,et al.  Integrated system identification and PID controller tuning by frequency loop-shaping , 2001, IEEE Trans. Control. Syst. Technol..

[22]  Stefan F. Graebe,et al.  Analytical PID parameter expressions for higher order systems , 1999, Autom..

[23]  S. Bhattacharyya,et al.  A generalization of Kharitonov's theorem; Robust stability of interval plants , 1989 .

[24]  Tore Hägglund,et al.  Automatic tuning of simple regulators with specifications on phase and amplitude margins , 1984, Autom..

[25]  Ioan Doré Landau,et al.  A method for the auto-calibration of PID controllers , 1995, Autom..