Robust stability bounds for networked controlled systems with unknown, bounded and varying delays

L. Dritsas, Antonios Tzes

    Research output: Contribution to journalArticle

    Abstract

    A robust control-oriented modelling approach for networked controlled systems (NCS) with uncertain, varying, bounded transmission delays and asynchronous discrete-time control laws is presented. The resulting model is then used for the derivation of sufficient conditions for the robust stability of NCSs and the computation of the maximum allowable delay (constrained within one sampling period) that the closed-loop system can tolerate given a pre-selected set of stabilising gains for the nominally delayed system. The derived stability conditions can be used for both open-loop stable and unstable systems and are numerically simple to use because they rely on singular-value calculations and the solution of a standard discrete Lyapunov equation. The impact of certain designer choices (such as sampling period, nominal delay and tuning parameters appearing in the stability conditions) on the delay range is also investigated. Simulation studies are used to investigate the efficiency of the derived robust stability bound.

    Original languageEnglish (US)
    Pages (from-to)270-280
    Number of pages11
    JournalIET Control Theory and Applications
    Volume3
    Issue number3
    DOIs
    StatePublished - Mar 16 2009

    Fingerprint

    Robust Stability
    Sampling
    Unknown
    Robust control
    Closed loop systems
    Stability Condition
    Tuning
    Lyapunov Equation
    Parameter Tuning
    Discrete Equations
    Singular Values
    Robust Control
    Closed-loop System
    Categorical or nominal
    Discrete-time
    Unstable
    Simulation Study
    Robust stability
    Sufficient Conditions
    Modeling

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Human-Computer Interaction
    • Computer Science Applications
    • Control and Optimization
    • Electrical and Electronic Engineering

    Cite this

    Robust stability bounds for networked controlled systems with unknown, bounded and varying delays. / Dritsas, L.; Tzes, Antonios.

    In: IET Control Theory and Applications, Vol. 3, No. 3, 16.03.2009, p. 270-280.

    Research output: Contribution to journalArticle

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