NDLI: K P-stable regions in the space of PID controller coefficients

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K P-stable regions in the space of PID controller coefficients

Content Provider	IET Digital Library
Author	Almodaresi, Elham Bozorg, Mohammad
Abstract	Evaluating a set of coefficients of a PID controller that stabilises a given plant is an important topic in designing such a controller. In the literature, the stability boundaries of the coefficients are already computed in the k P –k I –k D space. However, in the existing methods, one of the coefficients must be swept to compute the stable regions in the plane of the two other coefficients. A novel method is presented to compute the regions in the plane of two controller coefficients such that some stable interval exists for the third coefficient. Therefore, the stability crossing boundaries are no longer required to be computed. The main idea used here is to compute the controller coefficients where the Nyquist plot gets tangent to the real axis and the values where the plot has self-intersections on the real axis. This leads to the main contribution of the study that eliminates the need to sweep the proportional coefficient to plot the stability domains in the k I/k P-k D/k P plane.
Starting Page	1642
Ending Page	1647
Page Count	6
ISSN	17518644
Volume Number	11
e-ISSN	17518652
Issue Number	Issue 10, Jun (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/11/10
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2016.0685
Journal	IET Control Theory & Applications
Publisher Date	2017-03-16
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Control System Analysis Control System Synthesis Controller Design KP-stable Region Nyquist Diagrams Nyquist Plot PID Controller Coefficient Proportional-integral-derivative Controller Stability Crossing Boundaries Synthesis Method Three-term Control
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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