Optimizing the Linear Quadratic Minimum-Time Problem for Discrete Distributed Systems

• Autorzy: Rachik M. , Abdelhak A.
• Języki publikacji: EN

Abstrakty

EN

With reference to the work of Verriest and Lewis (1991) on continuous finite-dimensional systems, the linear quadratic minimum-time problem is considered for discrete distributed systems and discrete distributed time delay systems. We treat the problem in two variants, with fixed and free end points. We consider a cost functional J which includes time, energy and precision terms, and then we investigate the optimal pair (N,u) which minimizes J.

Słowa kluczowe

EN

discrete distributed systems; time-delay systems; minimum time; optimal control

PL

układ rozproszony; system z opóźnieniem; czas minimalny; sterowanie optymalne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: Vol. 12, no 2
• Strony: 153--160
• Opis fizyczny: Bibliogr. 11 poz., wykr.

Twórcy

autor

Rachik M.

• Faculté des Sciences Ben M’Sik, Département de Mathématiques Université Hassan II Mohammadia, Casablanca, Morocco

autor

Abdelhak A.

• Faculté des Sciences Ben M’Sik, Département de Mathématiques Université Hassan II Mohammadia, Casablanca, Morocco

Bibliografia

• [1] Abdelhak A. (1997): Quelques éléments sur l’analyse et le contrôle des systèmes discrets à retard. - Ph. D. thesis, Faculté des Sciences Ben M’Sik, Casablanca, Morocco.
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• [4] Karrakchou J. and Rachik M. (1995): Optimal control of discrete distributed systems with delays in the control: The finite horizon case. - Arch. Contr. Sci., Vol. 4(XL), Nos. 1-2, pp. 37-53.
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• [6] Lee K.Y., Chown S.N. and Barr R.O. (1972): On the control of discrete time distributed parameter systems. - SIAM J. Contr., Vol. 10, No. 2, pp. 361-376.
• [7] Pohjolainen S. (1982): On the discrete-time quadratic optimum control problem in reflexive Banach space. - Proc. 2nd IFAC Symp., Coventry, Great Britain, Pergamon Press, pp. 319-328.
• [8] Rachik M. (1995): Quelques éléments sur l’analyse et le contrôle des systèmes distribués. - Ph. D. thesis, EMI-Rabat, Morocco.
• [9] Schwartz H.M. and Gourdeau R. (1989): Optimal control of a robot manipulator using a weigthed time-energy cost function. - Proc. IEEE Conf. Decision Contr., pp. 1628-1631.
• [10] Verriest E.I. and Lewis F.L. (1991): On the linear quadratic minimum-time problem. - IEEE Trans. Automat. Contr., Vol. 36, No. 7, pp. 859-863.
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