This paper aims to use a new design approach based on a Lagrange mean value theorem for the stabilization of multivariable input-delayed system by linear controller.

    Design/methodology/approach

    The delay-dependent asymptotical stability conditions are derived by using augmented Lyapunov-Krasovskii functionals and formulated in terms of conventional Lyapunov matrix equations and some simple matrix inequalities. Proposed design approach is extended to robust stabilization of multi-variable input-delayed systems with unmatched parameter uncertainties. The maximum upper bound of delay size is computed by using a simple optimization algorithm.

    Findings

    A liquid monopropellant rocket motor with a pressure feeding system is considered as a numerical design example. Design example shows the effectiveness of the proposed design approach.

    Research limitations/implications

    The proposed approach can be used in the analysis and design of the uncertain multivariable time-delay systems.

    Originality/value

    The paper has a great potential in the stability analysis of time-delay systems and design of time-delay controllers and may openup a new direction in this area.


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    Title :

    Robust stabilization of input-delayed systems with design example for rocket motor control


    Contributors:


    Publication date :

    2008-01-25


    Size :

    7 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





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