Singular optimal control in the presence of uncertainty-a game theoretic approach

Singh, Sahjendra N. ; Deekshatulu, B. L. ; Sarma, V. V. S. (1969) Singular optimal control in the presence of uncertainty-a game theoretic approach International Journal of Control, 9 (5). pp. 585-595. ISSN 0020-7179

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Related URL: http://dx.doi.org/10.1080/00207176908905781

Abstract

Singular optimal control has been found for a plant whose dynamic equation is x + a1x|x| = u; u is the control and a1 = a0 + a. The parametric variation in the coefficient a1 has been treated as an antagonist and a differential game has been formulated. Both the control and the antagonist are assumed to be bounded. Performance criterion J= ∫0T (k+|u|)dt is minimized by u and maximized by a. T is free. The state plane has been separated into different regions in which a specific strategy for u and a has been determined.

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Deposited On:02 Nov 2010 10:51
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