NDLI: Robust performance design of PID controllers with inverse multiplicative uncertainty

Content Provider	IEEE Xplore Digital Library
Author	Emami, T. Watkins, J.M.
Copyright Year	2011
Description	Author affiliation: Electr. Eng. & Comput. Sci. Dept., Wichita State Univ., Wichita, KS, USA (Emami, T.; Watkins, J.M.)
Abstract	In this paper a graphical method is introduced for finding all proportional integral derivative (PID) controllers that satisfy a robust performance constraint for a given single input-single-output (SISO) linear time invariant (LTI) transfer function of any order with time-delay. This problem can be solved by finding all achievable PID controllers that simultaneously stabilize the closed-loop characteristic polynomial and satisfy constraints defined by a set of related complex polynomials. Inverse multiplicative modeling is used to describe the uncertainty of unstable perturbed system. A key advantage of this procedure is that it only depends on the frequency response of the system and does not require the plant transfer function coefficients. If the plant transfer function is given, the procedure is still appropriate. Inverse multiplicative modeling often allows for designs with reduced conservativeness in the unstable pole uncertainty and it increases the size of the set of all PID controllers that robustly meet the performance requirements.
Sponsorship	Control Syst. Soc.
Starting Page	5000
Ending Page	5006
File Size	504743
Page Count	7
File Format	PDF
ISBN	9781457700804
ISSN	07431619
e-ISBN	9781457700811
DOI	10.1109/ACC.2011.5991386
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-06-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Silicon Robustness Transfer functions Sensitivity Artificial intelligence Frequency response Stability analysis
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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