article · Algorithms · 2018

A Randomized Algorithm for Optimal PID Controllers

Cited by 18Open access

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.

Cite this paper

APA 7

Peretz, Y. (2018). A Randomized Algorithm for Optimal PID Controllers. Algorithms, 11(6), 81. https://doi.org/10.3390/a11060081

MLA 9

Peretz, Yossi. “A Randomized Algorithm for Optimal PID Controllers.” Algorithms, vol. 11, no. 6, 2018, p. 81, https://doi.org/10.3390/a11060081.

Chicago

Peretz, Yossi. 2018. “A Randomized Algorithm for Optimal PID Controllers.” Algorithms 11 (6): 81. https://doi.org/10.3390/a11060081.

Harvard

Peretz, Y. (2018) ‘A Randomized Algorithm for Optimal PID Controllers’, Algorithms, 11(6), p. 81. Available at: https://doi.org/10.3390/a11060081.

BibTeX

@article{peretz2018randomized,
  title = {{A Randomized Algorithm for Optimal PID Controllers}},
  author = {Peretz, Yossi},
  journal = {Algorithms},
  volume = {11},
  number = {6},
  pages = {81},
  year = {2018},
  doi = {10.3390/a11060081}
}

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