Observer-based Strict Positive Real (SPR) Feedback Control System Design

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Abstract

This paper presents theory for stability analysis and design for a class of observer-based feedback control systems. Relaxation of the controllability and observability conditions imposed in the Yakubovich-Kalman-Popov (YKP)lemma can be made for a class of nonlinear systems described by a linear time-invariant system (LTI) with a feedback-connected cone-bounded nonlinear element. It is shown how a circle-criterion approach can be used to design an observer-based state feedback control which yields a closed-loop system with specified robustness characteristics. The approach is relevant for design with preservation of stability when a cone-bounded nonlinearity is introduced in the feedback loop. Important applications are to be found in nonlinear control with high robustness requirements.

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Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Control Engineering

Keywords

  • Strict positive realness (SPR), Robustness, Observers, Stability
Original languageEnglish
Pages (from-to)1557-1564
JournalAutomatica
Volume38
Issue number9
Publication statusPublished - 2002
Publication categoryResearch
Peer-reviewedYes

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