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Optimal control of linear nonstandard singularly perturbed discrete systems

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2 Author(s)
Myo-Taeg Lim ; Sch. of Electr. Eng., Korea Univ., Seoul, South Korea ; Beom-Soo Kim

Introduces the definition of a nonstandard linear discrete-time singularly perturbed system and shows how to solve the corresponding linear-quadratic optimal control problem since the methodology that exists in the literature for the solution of the standard singularly perturbed discrete linear-quadratic optimal control problem can not be extended to the corresponding nonstandard counterpart. The solution of the optimal control problem is obtained in terms of the pure-slow and pure-fast, reduced-order, continuous-time, algebraic Riccati equations

Published in:

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on  (Volume:3 )

Date of Conference:

2000