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Optimal control for a class of systems subjected to disturbances

โœ Scribed by F.L. Chernous'ko

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
503 KB
Volume
68
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

A special class of linear dynamical systems acted upon by controls and bounded disturbances is considered. It is assumed that the disturbances are due to an error in the control implementation; there are no disturbances in the case of the zero control, but the range of the disturbances increases with the control intensity. The problem of constructing a control which provides a minimax to a specified optimality criterion for an arbitrary permissible form oยข the disturbances is formulated. The solution of the minimax problem is reduced to the solution of transcendental equations. Under certain conditions the solution is obtained in explicit form. An example is considered in which the optimal control is constructed both in the form of a program and in the form of a synthesis.

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