On the Comparisons of PID and GI-PD Control

Baishun Liu, Bin He, Xiangqian Luo

Academy of Naval Submarine, Qingdao, China.

DOI: 10.4236/eng.2015.77035                

Abstract

In conjunction with a second order uncertain nonlinear system, this paper makes some comparisons between PID control and general-integral-proportional-derivative (GI-PD) control; that is, by Routh’s stability criterion, we demonstrate that the system matrix under GI-PD control can be stabilized more easily; by linear system theory and Lyapunov method, we demonstrate that GI-PD control can deal with the uncertain nonlinearity more effectively; by analyzing and comparing the integral control action, we demonstrate that GI-PD control has the better control performance. Design example and simulation results verify the justification of our conclusions again. All these mean that GI-PD control has the stronger robustness and higher control performance than PID control. Consequently, GI-PD control has broader application prospects than PID control.

Keywords

General Integral Control, PID control, GI-PD Control, Robust Control, Output Regulation

Conflicts of Interest

The authors declare no conflicts of interest.

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