Computation of the recoverable region and stabilisation problem in the recoverable region for discrete-time systems

Xu Wang, Ali Saberi, Antonie Arij Stoorvogel, Sandip Roy, Peddapullaiah Sannuti

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    5 Citations (Scopus)


    This paper considers discrete-time linear time-invariant systems subject to input and state constraints. It is shown that the recoverable region (which is the largest domain of attraction that is theoretically achievable) can be semi-globally stabilized by non-linear feedbacks while satisfying the constraints. Moreover, the recoverable region for the given system is constructed by constructing the same however for a reduced order subsystem of the given system. Such a reduction in the order or dimension of the system generally leads to a considerable simplification in the computational effort.
    Original languageUndefined
    Article number10.1080/00207170902802984
    Pages (from-to)1870-1881
    Number of pages12
    JournalInternational journal of control
    Issue number10
    Publication statusPublished - 2009


    • EWI-15805
    • IR-67832
    • METIS-264413

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