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Algorithms 2018, 11(6), 81; https://doi.org/10.3390/a11060081

A Randomized Algorithm for Optimal PID Controllers

Department of Computer Sciences, Lev Academic Center, Jerusalem College of Technology, P.O.B. 16031 Jerusalem, Israel
Received: 7 May 2018 / Revised: 29 May 2018 / Accepted: 2 June 2018 / Published: 5 June 2018
(This article belongs to the Special Issue Algorithms for PID Controller)
View Full-Text   |   Download PDF [262 KB, uploaded 5 June 2018]

Abstract

A randomized algorithm is suggested for the syntheses of optimal PID controllers for MIMO coupled systems, where the optimality is with respect to the H -norm, the H 2 -norm and the LQR functional, with possible system-performance specifications defined by regional pole-placement. Other notions of optimality (e.g., mixed H 2 / H design, controller norm or controller sparsity) can be handled similarly with the suggested algorithm. The suggested method is direct and thus can be applied to continuous-time systems as well as to discrete-time systems with the obvious minor changes. The presented algorithm is a randomized algorithm, which has a proof of convergence (in probability) to a global optimum. View Full-Text
Keywords: continuous-time linear systems; discrete-time linear systems; state-space representation; proportional-integral-differential controllers; static output feedbacks; optimal controllers; randomized algorithms; convergence in probability continuous-time linear systems; discrete-time linear systems; state-space representation; proportional-integral-differential controllers; static output feedbacks; optimal controllers; randomized algorithms; convergence in probability
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Peretz, Y. A Randomized Algorithm for Optimal PID Controllers. Algorithms 2018, 11, 81.

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