Published May 2002 | Published
Book Section - Chapter Open

Intervalwise receding horizon H_∞ tracking controls for linear continuous time-varying systems

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Abstract

In this paper, a finite H∞ tracking control (HTC) for continuous time-varying systems is obtained in a state-feedback form. From the HTC, an intervalwise receding horizon H∞ tracking control (IHTC) is obtained for continuous time-varying systems. It is shown that the proposed IHTC guarantees the closed-loop stability and an H∞ norm bound for continuous time-varying systems. Conditions are proposed under which the IHTC with integral action provides zero offset for a constant reference signal and time-invariant systems. The performance of the IHTC is illustrated via simulation studies. The results in this paper are also applicable to periodic and time-invariant systems which belong to the class of time-varying systems.

Additional Information

© 2002 AACC. This work was supported by the Post-doctoral Fellowship Program of Korean Science & Engineering Foundation (KOSEF). The first author would like to thank Soo Won Kim, Dean of Center for Semiconductor Technology of Korea University for his hospitality during staying in 2001, and to thank Steven Low, Professor of California Institute of Technology for his local help where this work was done.

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