H2-optimal tuning algorithms for fixed structure controllers

  • Authors:
  • I. B. Yadykin

  • Affiliations:
  • Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2008

Quantified Score

Hi-index 0.00

Visualization

Abstract

An H2-method of optimal tuning is proposed for a fixed order controller. The SISO plant model is considered in state space. The H2-method of tuning parameter design is based on the minimization of a transient process closeness criterion for appropriate open-loop and closed-loop control systems and their reference models. The controller tuning algorithms use the plant parameter estimations obtained during the plant parameter identification. The analytical expressions are obtained for the square of H2-norm of a stable dynamic system. The following theorem is proven: the minimum necessary conditions for the functionals of transfer function H2-norm of open-loop and closed-loop systems are the same as the minimum necessary conditions for the Frobenius norm of the controller parameter tuning polynomial.