Constrained stabilization problems for linear plants

Ali Saberi, Jian Han, Antonie Arij Stoorvogel

    Research output: Contribution to journalArticleAcademicpeer-review

    66 Citations (Scopus)

    Abstract

    Linear systems with magnitude and rate constraints on both the state and control variables are considered. For such systems, semi-global and global constrained stabilization problems are formulated when state feedback controllers are used. Necessary and sufficient conditions for the solvability of the formulated problems are developed. Moreover, design methodologies for such constrained stabilization problems are presented. An important aspect of our development here is a taxonomy of constraints to show clearly for what type of constraints what can or cannot be achieved. © 2002 Elsevier Science Ltd. All rights reserved.
    Original languageUndefined
    Article number10.1016/S0005-1098(01)00248-5
    Pages (from-to)639-654
    Number of pages16
    JournalAutomatica
    Volume38
    Issue number4
    DOIs
    Publication statusPublished - Apr 2002

    Keywords

    • Input constraints
    • Linear systems
    • IR-68843
    • State constraints
    • EWI-16624
    • Stabilization

    Cite this