End-point parametrization and guaranteed stability for a model predictive control scheme

Weiland, S.; Stoorvogel, Anton A.; Tiagounov, A.

doi:10.1109/.2001.980972

Cited by 4 publications

(1 citation statement)

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“…The main result of this section is a useful and explicit parametrization of a class of end-point penalties for which exponential stability of the MPC controlled system can be guaranteed. This result appeared separately in [54].…”

Section: Receding Horizon Controlmentioning

confidence: 78%

Finite-time behavior of inner systems

Ludlage

Weiland

Stoorvogel

et al. 2003

IEEE Trans. Automat. Contr.

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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.

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Section: Receding Horizon Controlmentioning

confidence: 78%