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Adaptive competitive multiple controllers for systems with unknown general quadratic objectives

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2 Author(s)
Xiaohuan Tan ; Department of Electrical and Computer Engineering, The Ohio State University, Columbus, 43210, USA ; Jose B. Cruz

Motivated by the problems of unknown objectives in strategic bidding in the restructured electricity power markets, this paper investigates a class of competitive multiple controllers with unknown quadratic objectives including linear and cross terms in controls. We combine the concept of fictitious play with the technique of adaptive control to estimate multiple controller strategies. We also specify certain conditions and show both theoretically and numerically that the adaptation procedure converges.

Published in:

Control, Automation, Robotics and Vision, 2008. ICARCV 2008. 10th International Conference on

Date of Conference:

17-20 Dec. 2008