Parameter identification for uncertain linear systems with partial state measurements under an H criterion

Zigang Pan, Tamer Basar

Research output: Contribution to journalConference articlepeer-review

Abstract

The paper addresses the worst-case parameter identification problem for linear systems under partial state measurements. Using the cost-to-come function method, worst-case identifiers are derived for SISO systems. The worst-case identifier thus obtained includes the Kreisselmeier observer as part of its structure, with parameters set at some optimal values. Its structure is different from the common least-squares (LS) identifier, however, in the sense that there is an additional dynamics for the state estimate, coupled with the dynamics of the parameter estimate in a nontrivial way. A reduced-order identifier is obtained, which is numerically much better conditioned when the disturbances in the measurement equations are 'small.'

Original languageEnglish (US)
Pages (from-to)709-714
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume1
StatePublished - 1995
EventProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA
Duration: Dec 13 1995Dec 15 1995

ASJC Scopus subject areas

  • Control and Optimization
  • Control and Systems Engineering
  • Modeling and Simulation

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