Temporal and one-step stabilisability and detectability of discrete-time linear systems

L.G. van Willigenburg, W.L. de Koning

    Research output: Contribution to journalArticleAcademicpeer-review

    2 Citations (Scopus)

    Abstract

    In a past study the authors drew attention to the fact that time-varying discrete-time linear systems may be temporarily uncontrollable and unreconstructable and that this is vital knowledge for both control engineers and system scientists. Describing and detecting the temporal loss of controllability and reconstructability requires considering discrete-time systems with variable dimensions and the j-step, k-step Kalman decomposition. In this study for linear discrete-time systems with variable dimensions measures of temporal and one-step stabilisability and detectability are developed. These measures indicate to what extent the temporal loss of controllability and reconstructability may lead to temporal instability of the closed-loop system when designing a static state or dynamic output feedback controller. The measures are calculated by solving specific linear quadratic cheap control problems by means of standard linear quadratic control algorithms. The importance of our developments for control system design is illustrated by means of two numerical examples.
    LanguageEnglish
    Pages151-159
    JournalIET Control Theory & Applications
    Volume7
    Issue number1
    DOIs
    Publication statusPublished - 2013

    Fingerprint

    Discrete-time Linear Systems
    Detectability
    Controllability
    Linear Quadratic Control
    Linear systems
    Closed loop systems
    Linear Quadratic Problem
    Dynamic Output Feedback
    Control System Design
    Systems analysis
    Discrete-time Systems
    Decomposition
    Feedback
    Control systems
    Engineers
    Controllers
    Closed-loop System
    Control Algorithm
    Control Problem
    Time-varying

    Keywords

    • realizations

    Cite this

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    Temporal and one-step stabilisability and detectability of discrete-time linear systems. / van Willigenburg, L.G.; de Koning, W.L.

    In: IET Control Theory & Applications, Vol. 7, No. 1, 2013, p. 151-159.

    Research output: Contribution to journalArticleAcademicpeer-review

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