Combined gain and phase margins

In this note, the limitations of conventional or separate gain or phase margin are shown. Then, the combined gain and phase margins are introduced to overcome the limitations and suit both stable and unstable systems. A simple method for their computations is presented and its application in stabilization is demonstrated.

[1]  Ibrahim Kaya,et al.  Tuning PI controllers for stable processes with specifications on gain and phase margins. , 2004, ISA transactions.

[2]  Wai-Chuen Gan Robust and optimal control of AC machines , 2001 .

[3]  Ching-Hung Lee,et al.  Tuning of PID controllers for unstable processes based on gain and phase margin specifications: a fuzzy neural approach , 2002, Fuzzy Sets Syst..

[4]  D. Siljak,et al.  Robustness of suboptimal control: Gain and phase margin , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

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

[6]  R. G. Brown,et al.  Analysis and Design of Feedback Control Systems , 1960 .

[7]  Nusret Tan,et al.  Robust phase margin, robust gain margin and Nyquist envelope of an interval plant family , 2004, Comput. Electr. Eng..

[8]  Weng Khuen Ho,et al.  Self-tuning IMC-PID control with interval gain and phase margins assignment , 2001, IEEE Trans. Control. Syst. Technol..

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

[10]  Roberto Tempo,et al.  On the Nyquist Envelope of an Interval Plant Family , 1991, 1991 American Control Conference.

[11]  Yu Zhang,et al.  PID tuning with exact gain and phase margins , 1999 .

[12]  Chang Chieh Hang,et al.  Tuning of phase-lead compensators for exact gain and phase margins , 2006, Autom..

[13]  I. Horowitz Synthesis of feedback systems , 1963 .

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