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Zbl 0888.93021
Lee, Jae-Won; Kwon, Wook Hyun; Lee, Joon Hwa
Receding horizon $H\sp \infty$ tracking control for time-varying discrete linear systems. (English)
[J] Int. J. Control 68, No.2, 385-399 (1997). ISSN 0020-7179; ISSN 1366-5820/e

The paper displays a receding horizon stabilization and output tracking schemes for time-varying discrete linear systems with uncertainties. The finite time component is based on a maxmin $H^\infty$ performance index. The method follows standard approaches available for the continuous time case, overcoming however, the subtle points induced by the jumps due to the discrete time. Illuminating numerical examples, based on a discretization of a second order equation, describing a position servo system, are displayed; the performance of the proposed scheme is compared with an infinite time horizon scheme.
[Z.Artstein (Rehovot)]

MSC 2000:: *93B36 $H^\infty$-control
93C55 Discrete-time control systems
93C99 Control systems, guided systems

Keywords: $H\sp \infty$ control; receding horizon stabilization; output tracking; time-varying discrete linear systems

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Zentralblatt MATH Berlin [Germany]