Elsevier

Automatica

Volume 30, Issue 2, February 1994, Pages 277-292
Automatica

Paper
Near-optimal control of nonstandard singularly perturbed systems,☆☆

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Abstract

Near-optimal control of nonstandard multiparameter/multitime scale singularly perturbed systems is studied using the descriptor variable approach. In particular, the slow models of the considered systems are allowed to exhibit impulses. In the case of multiparameter singular perturbations, the near optimal control is a cascade connection of separately designed slow and fast subregulators; in the case of multitime scale singular perturbations, the near-optimal control is hierarchically composed of N + 1 subregulators, a parallel algorithm is provided for designing the subregulators separately. The knowledge of the small singular perturbation parameters is not required in the overall design. Furthermore, the frequency responses of the near optimal systems are analyzed, and several design examples are given.

Keywords

Large-scale systems
singular perturbations
optimal regulator
near-optimal control
decomposition
parallel solution
frequency responses

Cited by (0)

This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor T. Baçar under the direction of Editor Huibert Kwakernaak.

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This work was supported in part by the Alexander von Humboldt Foundation of Germany and by the National Science Foundation of the U.S.A., under Grant ECS-9209983.