Finite-time behavior of inner systems


Ludlage, Jobert H.A. and Weiland, Siep and Stoorvogel, Anton A. and Backx, Ton A.C.P.M. (2003) Finite-time behavior of inner systems. IEEE transactions on automatic control, 48 (7). pp. 1134-1149. ISSN 0018-9286

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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.
Item Type:Article
Copyright:© 2003 IEEE
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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