An Algebraic Formula for Performance Bounds of a Weighted H Optimal Control Problem

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Author(s)

  • Andres A. Peters
  • Francisco Vargas
  • Jie Chen

Related Research Unit(s)

Detail(s)

Original languageEnglish
Number of pages6
Journal / PublicationIEEE Transactions on Automatic Control
Publication statusOnline published - 19 Mar 2020

Abstract

This note provides performance bounds for a particular H model matching problem. We consider scalar linear time invariant (LTI) plants in an one degree-of-freedom control loop. We obtained explicit expressions for the Gramians needed when Nehari's Theorem is applied to this problem, leading to a simple algebraic equation for the optimal performance. This formula sheds light upon the effect that non-minimum phase zeros have on the optimal performance, and yields easily computable bounds and approximations.

Research Area(s)

  • H infinity control, Discrete-time systems, Performance bounds