Kurt Schlacher,
"Mathematical Strategies Common to Mechanics and Control"
, in ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 78, John Wiley, Seite(n) 723-730, 3-1998, ISSN: 0044-2267
Original Titel:
Mathematical Strategies Common to Mechanics and Control
Sprache des Titels:
Englisch
Original Kurzfassung:
This paper deals with strategies common to mechanics and control. Design methods, well known from simple mechanical control systems, are extended to the broader class of affine input systems. Since here exterior differential systems are used for the description of control systems, methods of exterior calculus, like the derived flag, can be applied to the problems of accessibility, observability and exact linearization. The Hinf. - design of nonlinear control can be considered as an application of the theory of differential game. By refining this design for Hamiltonian control systems we present an exact solution of the Hamilton-Jacobi-Isaacs-equation for a special problem of optimal damping. On the basis of an infinite dimensional Hamiltonian system, in this case a beam with piezoelectric layers, the applicability of the present methods, as well as the realizability of the feedback law, is shown.
Sprache der Kurzfassung:
Englisch
Journal:
ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik
Veröffentlicher:
John Wiley
Volume:
78
Seitenreferenz:
723-730
Erscheinungsmonat:
3
Erscheinungsjahr:
1998
ISSN:
0044-2267
Anzahl der Seiten:
8
Notiz zur Publikation:
Schlacher K.: Mathematical Strategies Common to Mechanics and Control, In: Zeitschrift für angewandte Mathematik und Mechanik, ZAMM 1998, Vol. 78, John Wiley, pp. 723-730, ISSN: 0946-8463,1998.
Forschungs-