A randomized algorithm for optimal PID controllers

DOI10.3390/a11060081zbMath1460.93036OpenAlexW2806824554MaRDI QIDQ2331606

Yossi (Joseph) Peretz

Publication date: 30 October 2019

Published in: Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/a11060081

zbMATH Keywords

discrete-time linear systemsrandomized algorithmsstate-space representationconvergence in probabilitycontinuous-time linear systemsoptimal controllersstatic output feedbacksproportional-integral-differential controllers

Mathematics Subject Classification ID

Feedback control (93B52) Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Randomized algorithms (68W20)

Related Items (2)

A randomised algorithm for computing static-output-feedbacks for large-scale systems ⋮ On a new generalised LMI condition and randomised algorithm for robust stabilisation via static-output-feedback

Uses Software

• complib
• PENBMI
• HIFOO
• COMPleib

Cites Work

• Generalized pole placement via static output feedback: a methodology based on projections
• A randomized approximation algorithm for the minimal-norm static-output-feedback problem
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• Stochastic adaptive search for global optimization.
• An improvement on multivariable PID controller design via iterative LMI approach.
• Multivariable PID control with set-point weighting via BMI optimisation
• On application of the ray-shooting method for LQR via static-output-feedback
• Fixed structure PID controller design for standard \(H_{\infty}\) control problem
• MIMO PID tuning via iterated LMI restriction
• Convergence theorems for a class of simulated annealing algorithms on ℝ^d
• NP-Hardness of Some Linear Control Design Problems
• Simultaneous stabilization via static output feedback and state feedback
• Pole Placement via Static Output Feedback is NP-Hard
• On applications of the ray-shooting method for structured and structured-sparse static-output-feedbacks
• On the design of multivariable PID controllers via LMI approach.

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