Brief A descriptor system approach to nonlinear singularly perturbed optimal control problem

Authors:
E. Fridman
Affiliations:
Deptartment of Electrical Engineering Systems, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel
Venue:
Automatica (Journal of IFAC)
Year:
2001

Citing 3
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Abstract

This paper considers the infinite horizon nonlinear quadratic optimal control problem for a singularly perturbed system which is nonlinear in both, the slow and the fast variables. The relationship between this problem and the analogous one for a descriptor system is investigated. Parameter-independent controllers are constructed that solve the problem for the descriptor system and lead the full-order system to the near-optimal performance. Estimates on the closeness of the cost under near-optimal controllers to the optimal one are obtained.