Time-Scale Separation and Controller Design of Nonlinear Singularly Perturbed Discrete Systems

K.-S. Park and J.-T. Lim (Korea)

Keywords

Singular perturbation, Discrete-time system, two-time scale property, composite controller.

Abstract

In this paper, we propose the time-scale separation of non linear singularly perturbed discrete systems. Using this separation, the nonlinear singularly perturbed discrete sys tem is decomposed into the slow subsystem and the fast subsystem. Based on two lower-order subsystems, we de sign the composite controller to stabilize the nonlinear sin gularly perturbed discrete system.

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