Open- and Closed-Loop Dissipation Inequalities Under Sampling and Controller Emulation

Dina Shona Laila, D. Nešić, A. R. Teel

    Research output: Contribution to journalArticle

    167 Citations (Scopus)


    We present a general and unified framework for the design of nonlinear digital controllers using the emulation method for nonlinear systems with disturbances. It is shown that if a (dynamic) continuous-time controller, which is designed so that the continuous-time closed-loop system satisfies a certain dissipation inequality, is appropriately discretized and implemented using sample and zero-order-hold, then the discrete-time model of the closed-loop sampled-data system satisfies a similar dissipation inequality in a semiglobal practical sense (sampling period is the parameter that we can adjust). We consider two different forms of dissipation inequalities for the discrete-time model: the “weak” form and the “strong” form. The results are also applicable for open-loop systems.
    Original languageEnglish
    Pages (from-to)109-125
    JournalEuropean Journal of Control
    Issue number2
    Publication statusPublished - 2002

    Bibliographical note

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    • Discrete-Time
    • Dissipation
    • Emulation Design
    • Nonlinear
    • Sampled-Data


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