Finite-time behavior of inner systems

Jobert H.A. Ludlage, Siep Weiland, Antonie Arij Stoorvogel, Ton A.C.P.M. Backx

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    Abstract

    In this paper, we investigate how nonminimum phase characteristics of a dynamical system affect its controllability and tracking properties. For the class of linear time-invariant dynamical systems, these characteristics are determined by transmission zeros of the inner factor of the system transfer function. The relation between nonminimum phase zeros and Hankel singular values of inner systems is studied and it is shown how the singular value structure of a suitably defined operator provides relevant insight about system invertibility and achievable tracking performance. The results are used to solve various tracking problems both on finite as well as on infinite time horizons. A typical receding horizon control scheme is considered and new conditions are derived to guarantee stabilizability of a receding horizon controller.
    Original languageUndefined
    Article number10.1109/TAC.2003.814108
    Pages (from-to)1134-1149
    Number of pages16
    JournalIEEE transactions on automatic control
    Volume48
    Issue number7
    DOIs
    Publication statusPublished - Jul 2003

    Keywords

    • EWI-16631
    • Tracking
    • Stability
    • Control Systems
    • Optimal Control
    • IR-68907
    • State-spacemethods

    Cite this

    Ludlage, J. H. A., Weiland, S., Stoorvogel, A. A., & Backx, T. A. C. P. M. (2003). Finite-time behavior of inner systems. IEEE transactions on automatic control, 48(7), 1134-1149. [10.1109/TAC.2003.814108]. https://doi.org/10.1109/TAC.2003.814108