Analysis of the claimed robustness for PI/PID robust tuning rules

This paper analyzes how recognized robust PI/PID tuning rules accomplish with respect to its robustness specification. A concrete analysis is conducted where the chosen PI/PID controller tuning rules are based on a precise quantitative robustness specification such as the Maximum Sensitivity; Ms; value. It is reported that the claimed robustness specification in most of the cases is not accomplished for some set of plants, on other cases it is accomplished with excessive margin, therefore providing a not satisfactory Robustness/Performance tradeoff. The conclusion drawn from this study is that even if the robustness issue has been incorporated in the new approaches for tuning and design of PI/PID controllers, this does not sufficient. In order to appropriately tackle the Robustness/Performance tradeoff, the achieved robustness level should not only be an integral specification, but its accomplishment should be checked.

[1]  John A. Miller,et al.  TUNING CONTROLLERS WITH ERROR-INTEGRAL CRITERIA , 1967 .

[2]  K. Åström,et al.  Revisiting The Ziegler‐Nichols Tuning Rules For Pi Control , 2002 .

[4]  K.J. ÅSTRÖM,et al.  Design of PI Controllers based on Non-Convex Optimization , 1998, Autom..

[5]  Paul W. Murrill,et al.  TUNING CONTROLLERS FOR SET POINT CHANGES. , 1970 .

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

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

[8]  Tore Hägglund,et al.  Automatic Tuning of Simple Regulators , 1984 .

[9]  Helene Panagopoulos,et al.  PID Control, Design, Extension, Application , 2000 .

[10]  Shyh Hong Hwang,et al.  Closed-loop automatic tuning of single-input-single-output systems , 1995 .

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

[12]  M. Tavakoli,et al.  Optimal Tuning of PID Controllers for First Order Plus Time Delay Models Using Dimensional Analysis , 2003, 2003 4th International Conference on Control and Automation Proceedings.

[13]  Ramon Vilanova,et al.  IMC based Robust PID design: Tuning guidelines and automatic tuning , 2008 .

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

[15]  Chang Chieh Hang,et al.  Getting more phase margin and performance out of PID controllers , 1999, Autom..

[16]  Ramón Vilanova,et al.  NORT: a non-oscillatory robust tuning approach for 2-DoF PI controllers , 2009, 2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC).

[17]  Aidan O'Dwyer,et al.  Handbook of PI and PID controller tuning rules , 2003 .

[18]  S. Skogestad Simple analytic rules for model reduction and PID controller tuning , 2004 .

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