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Extremal aiming in problems with an unknown level of dynamic disturbance

โœ Scribed by S.A. Ganebnyi; S.S. Kumkov; V.S. Patsko

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
324 KB
Volume
73
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

The method of extremal aiming, well-known in the theory of differential games, is applied to problems in which the level of dynamic disturbance is not stipulated in advance. Problems with linear dynamics, a fixed termination time and a geometric constraint on the effective control are considered. The aim of the control is to bring the system into a specified terminal set at the instant of termination. A feedback control method is proposed which ensures successful completion if the disturbance does not exceed a certain critical level. Here, "weak" disturbance is countered by a "weak" effective control. A guarantee theorem is formulated and proved. An illustrative example is considered.

๐Ÿ“œ SIMILAR VOLUMES

Control design in problems with an unkno
Control design in problems with an unknown level of dynamic disturbance
โœ S.A. Ganebnyi; S.S. Kumkov; V.S. Patsko ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 455 KB

Linear differential games for two players with a fixed termination time are considered. The objective of player 1 is to bring the motion of the system into an assigned terminal set or fairly close to it at the termination time. Player 2 (the disturbance) opposes this. The control of player 1 is scal