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On general multiple linear-quadratic control problems

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1 Author(s)
Duan Li ; Dept. of Syst. Eng., Virginia Univ., Charlottesville, VA, USA

General multiple linear-quadratic control problems are studied, where the overall objective is a nonlinear function of multiple quadratic performance indices. A multilevel solution procedure is proposed to obtain an analytical linear control law for this nonseparable control problem. The auxiliary Lagrangian problem formulated at the lower level is of a parametric linear-quadratic structure, in which the weighting vector is adjusted by the upper level until a derived optimal condition is met

Published in:

IEEE Transactions on Automatic Control  (Volume:38 ,  Issue: 11 )