Singular Optimal Control in Presence of Uncertainty - a Game Theoretic Approach

Authors

Sahjendra N. Singh, University of Nevada, Las VegasFollow
B. L. Deekshatulu, Indian Institute of Science, Bangalore
V. V.S. Sarma, Indian Institute of Science, BangaloreFollow

Document Type

Article

Publication Date

5-1969

Publication Title

International Journal of Control

Volume

9

Issue

5

First page number:

585

Last page number:

595

Abstract

Singular optimal control has been found for a plant whose dynamic equation is x¨ + a₁[xdot]|[xdot]| = 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 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.

Disciplines

Controls and Control Theory | Electrical and Computer Engineering | Engineering

Language

English

Permissions

Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.

Repository Citation

Singh, S. N., Deekshatulu, B. L., Sarma, V. V. (1969). Singular Optimal Control in Presence of Uncertainty - a Game Theoretic Approach. International Journal of Control, 9(5), 585-595.