Loop Shaping for PID Controller Design Based on Time and Frequency Specifications⁎⁎The authors of this article acknowledge the support of CNPq (The Brazilian National Council for Scientific and Technological Development) and COPELE (Post-Graduate Program in Electrical Engineering - PPgEE)

In this paper it is described a new method to design PID controllers using a linear programming approach for optimizing performance subject to robustness constraints. It is based on the shaping of a reference loop gain transfer function which forms a convex region on the Nyquist diagram which contai...

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Published inIFAC-PapersOnLine Vol. 51; no. 4; pp. 592 - 597
Main Authors Bosman Barros, Clarisse Pétua, Barros, Péricles Rezende, da Rocha Neto, José Sergio
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2018
Subjects
Linear programming
Multiobjective optimization
Optimization problems
Parameter optimization
PID control
Linear programming
PID control
Parameter optimization
Optimization problems
Multiobjective optimization
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Summary:In this paper it is described a new method to design PID controllers using a linear programming approach for optimizing performance subject to robustness constraints. It is based on the shaping of a reference loop gain transfer function which forms a convex region on the Nyquist diagram which contains and bounds the designed loop gain Nyquist plot. The convex region is approximated by a set of lines in order to formulate a linear optimization problem. It is also presented an optional performance specification related to the crossover frequency of the designed loop gain. The class of stable linear time-invariant single-input simple-output (SISO) systems is considered and the optimization problem is proposed, solved and analyzed.
ISSN:2405-8963
2405-8963
DOI:10.1016/j.ifacol.2018.06.160