On global external stochastic stabilization of linear systems with input saturation

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    We consider the problem of global external stochastic stabilization for linear plants with saturating actu- ators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial condi- tions. The aim of this stabilization is to control such plants by a possibly nonlinear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector for all time in the presence of disturbances and Gaussian distributed initial conditions. Results for continuous-time open-loop critically stable plants have been obtained before. This paper shows how to extend this result to plants consisting of a chain of integrators. We view our contri- bution in this paper as a first critical step in solving the LQG control problem for linear systems subject to saturated inputs which is a research problem with a long history in our field.
    Original languageUndefined
    Pages (from-to)9-13
    Number of pages5
    Issue number1
    Publication statusPublished - Jan 2015


    • EWI-25467
    • IR-93654
    • METIS-312462

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