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Open AccessArticle

A Randomized Algorithm for Optimal PID Controllers

Department of Computer Sciences, Lev Academic Center, Jerusalem College of Technology, P.O.B. 16031 Jerusalem, Israel
Algorithms 2018, 11(6), 81; https://doi.org/10.3390/a11060081
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)
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
MDPI and ACS Style

Peretz, Y. A Randomized Algorithm for Optimal PID Controllers. Algorithms 2018, 11, 81.

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