Lee, Jae-Won; Kwon, Wook Hyun; Lee, Joon Hwa Receding horizon \(H^ \infty\) tracking control for time-varying discrete linear systems. (English) Zbl 0888.93021 Int. J. Control 68, No. 2, 385-399 (1997). 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. Reviewer: Z.Artstein (Rehovot) Cited in 2 Documents MSC: 93B36 \(H^\infty\)-control 93C55 Discrete-time control/observation systems 93C99 Model systems in control theory Keywords:\(H^ \infty\) control; receding horizon stabilization; output tracking; time-varying discrete linear systems PDFBibTeX XMLCite \textit{J.-W. Lee} et al., Int. J. Control 68, No. 2, 385--399 (1997; Zbl 0888.93021) Full Text: DOI