Brief New results for near-optimal control of linear multiparameter singularly perturbed systems

Authors:
Hiroaki Mukaidani;Hua Xu;Koichi Mizukami
Affiliations:
Graduate School of Education, Hiroshima University, Kagamiyama Higashi-Hiroshima, Hiroshima 739-8524, Japan;Graduate School of Business Sciences, The University of Tsukuba, Otsuka, Bunkyou-ku, Tokyo 112-0012, Japan;Faculty of Engineering, Hiroshima Kokusai Gakuin University, Nakano, Aki-ku, Hiroshima 739-0321, Japan
Venue:
Automatica (Journal of IFAC)
Year:
2003

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Abstract

In this paper, we consider the linear quadratic optimal control problem for multiparameter singularly perturbed systems in which N lower-level fast subsystems are interconnected through a higher-level slow subsystem. Different from the existing methods, a new method is developed to design a near-optimal controller which does not depend on the unknown small parameters. It is shown that the resulting controller in fact achieves an O(||@m||^2) approximation to the optimal cost of the original optimal control problem.