Einladung zum Vortrag im Kolloquium Technische Kybernetik
A new angle on model-predictive control
em. Prof. Dr. Hans W. Knobloch
Mathematisches Institut
Universität Würzburg
Zeit: Dienstag · 14. 2. 2006 · 16:00 Uhr
Ort: Seminarraum 3.241 · Pfaffenwaldring 9 · Campus Stuttgart-Vaihingen
Abstract
We deal with model uncertainties as expressed in the presence of an unknown vector w
– depending upon the state x = (x1, x2)T – in the system description:
dx1 ⁄dt = p1(x) + B1(x)u + G1(x)w,
dx2 ⁄dt = p2(x) + B2(x)w.
Only available information: Bounds for w, wx, initial value (at t = 0) for w and x, measured output y = x2 for all t ≥ 0.
We present for this scenario a new approach to standard control problems based on a proposal for on-line-prediction of w(x) along the actual trajectory. The tools are non-conventional: The control law is a mixture of closed and open loop, depending upon time-varying parameters which are produced by a nonlinear observer.
Biographical Information
PhD thesis in Algebraic Number Theory (1950). Professor of Mathematics since 1964 in Aarhus (Denmark), Berlin, Würzburg, retired in 1995. Co-organizer of various meetings on control theory in Oberwolfach. Main scientific interests: Mathematical foundations of control theory (geometric approach to nonlinear systems, Hamilton-Jacobi differential equation, nonlinear observers).
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Universität Stuttgart