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Stabilization and regulation of class of non-linear singularly perturbed discrete-time systems

✍ Scribed by R. Bouyekhf; A.El Moudni

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 914 KB
Volume: 335
Category: Article
ISSN: 0016-0032
DOI: 10.1016/s0016-0032(97)00037-9

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✦ Synopsis

A class q[ discrete-time nonlinear systems which are two-time-scah" is treated. Ushtg the shlgular perturbation theory in a O,stematic way, we present a mode-deeoupling approach which yields two separate subsystems eontaining the slow and /itst parts. Furthermore, a two-time-scah, analysis and design proeedure for stabilization and regulation is presented. The controllabilio' and stabilizabili O' im;ariance of the ./~tst subsystem is shown and an ao,mptotic stabilizing composite fi, edback control is proposed. Finally, it is shown that the composite control produces a.finite cost which tends to the optimal cost ~[ a slow problem as the singular perturbation parameter tends to zero. ~!~ 1998 The Franklin Institute.

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