NDLI: Stability regions in the parameter space for a unified PID controller

Content Provider	IEEE Xplore Digital Library
Author	Emami, T. Taegyu Lee Watkins, J.M.
Copyright Year	2010
Description	Author affiliation: Electr. Eng. & Comput. Sci., Wichita State Univ., Wichita, KS, USA (Emami, T.; Taegyu Lee; Watkins, J.M.)
Abstract	In this paper a unified approach is presented for finding the stability boundary and the number of unstable poles for an arbitrary order transfer function with time delay in continuous-time or discrete-time systems. These problems can be solved by finding all achievable proportional integral derivative (PID) controllers that stabilize the closed-loop polynomial of a single-input single-output (SISO) linear time invariant (LTI) system. This method is used to predict the number of unstable poles of the closed-loop system in any region of the parameter space of a PID controller. The delta operator is used to describe the controllers because it provides not only numerical properties superior to the discrete-time shift operator, but also converges to the continuous-time case as the sampling period approaches zero. A key advantage of this approach is that the stability boundary can be found when only the frequency response and not the parameters of the plant transfer function are known. A unified approach allows us to use the same procedure for finding the continuous-time or discrete-time stability region and the number of unstable poles of the system. If the plant transfer function is known, the stability regions can be found analytically.
Starting Page	4999
Ending Page	5005
File Size	439825
Page Count	7
File Format	PDF
ISBN	9781424474264
ISSN	07431619
e-ISBN	9781424474271
DOI	10.1109/ACC.2010.5530955
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-30
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Stability Three-term control Transfer functions Control systems Delay effects PD control Pi control Proportional control Polynomials Sampling methods
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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