Two-level stochastic control for a linear system with nonclassical information

• Autorzy: Zdzisław Duda , Witold Brandys
• Języki publikacji: EN

Abstrakty

EN

A problem of control law design for large scale stochastic systems is discussed. Nonclassical information pattern is considered. A two-level hierarchical control structure with a coordinator on the upper level and local controllers on the lower level is proposed. A suboptimal algorithm with a partial decomposition of calculations and decentralized local control is obtained. A simple example is presented to illustrate the proposed approach.

Słowa kluczowe

EN

hierarchical structure; stochastic control; nonclassical information

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2004
• Tom: 14
• Numer: 2
• Strony: 161-166

Daty

wydano

2004

otrzymano

2003-05-12

poprawiono

2004-01-30

Twórcy

autor

Zdzisław Duda

• Institute of Automatic Control, Silesian University of Technology, ul. Akademicka 16, 44-101 Gliwice, Poland

autor

Witold Brandys

• Institute of Automatic Control, Silesian University of Technology, ul. Akademicka 16, 44-101 Gliwice, Poland

Bibliografia

• Aoki A. (1973): On decentralized linear stochastic control problems with quadratic cost. - IEEE Trans. Automat. Control, Vol. 18, No. 2, pp. 243-250.
• Chong C.Y. and Athans M. (1971): On the stochastic control of linear systems with different information sets. - IEEE Trans. Automat. Contr., Vol. 16, No. 5, pp. 423-430.
• Duda Z. and Brandys W. (2002): Decentralized hierarchical stochastic control in a large scale static system. - Proc. of the IFAC World Congress, Barcelona, (published on CD-ROM).
• Findeisen W., Bailey F.N., Brdys M., Malinowski K., Tatjewski P. and Wozniak A. (1980): Control and Coordination in Hierarchical Systems. - London: Wiley.
• Gessing R. (1987): Two-level hierarchical control for linear quadratic problem related to a static system. - Int. J. Contr., Vol. 46, No. 4, pp. 1251-1259.
• Gessing R. and Duda Z. (1995): Price co-ordination for a resource allocation problem in a large-scale system . - Int. J. Syst. Sci., Vol. 26, No. 11, pp. 2245-2253.
• Ho Y.C. (1980): Team decision theory and information structures. -Proc. IEE, Vol. 68, No. 6, pp. 644-654.
• Mesarovic M.D., Macko D. and Takahara Y. (1970): Theory of Hierarchical Multilevel Systems. - New York: Academic.
• Witsenhausen H.S. (1968): A counter example in stochastic optimum control. -SIAM J. Contr., Vol. 6, No. 1, pp. 131-147.