✦ LIBER ✦

Parametrization of all stabilizing controllers of nonlinear systems

✍ Scribed by Jun-ichi Imura; Tsuneo Yoshikawa

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 492 KB
Volume: 29
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(96)00065-5

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✦ Synopsis

This paper develops a new approach to the parametrization of all asymptotically stabilizing controllers of nonlinear systems including time-varying ones, both for state feedback and output feedback. Assumptions of stabilizability and a kind of detectability are requirer. The approach is very direct and simple, and is not based on the so-called factorization and on the H~ framework of nonlinear systems which are used in previous papers. A key of the derivation of the parametrization in this paper is to find an explicit state space representation of free functions, such that the parametrized controller expresses all asymptotically stabilizing controllers of nonlinear systems.

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