Negative imaginary synthesis via dynamic output feedback and static state feedback: A Riccati approach

Gabriela Salcan Reyes, Alexander Lanzon

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    Abstract

    This paper is concerned with the study of strictly negative imaginary (SNI) systems and the problem of synthesizing a controller rendering a linear fractional system SNI. First, a set of necessary and sufficient conditions are developed for an SNI lemma without imposing minimality assumptions. The proposed lemma supports both the analysis and synthesis of SNI systems. Then, a set of sufficient conditions, based on the solution of algebraic Riccati equations, is provided for the solution of the SNI synthesis problem. Finally, an illustrative example demonstrates the usefulness of the results given herein.
    Original languageEnglish
    Pages (from-to)220-227
    Number of pages8
    JournalAutomatica
    Volume104
    Early online date19 Mar 2019
    DOIs
    Publication statusPublished - 2019

    Keywords

    • Algebraic Riccati equations
    • Control system synthesis
    • Negative imaginary systems
    • Output feedback
    • Positive real
    • Robust control
    • Uncertain dynamic systems

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