✦ LIBER ✦

Resonant terms and bifurcations of nonlinear control systems with one uncontrollable mode

✍ Scribed by Boumediene Hamzi; Wei Kang

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 235 KB
Volume: 49
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(02)00345-6

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✦ Synopsis

In this paper we provide a simple algorithm of feedback design for systems with uncontrollable linearization with only quadratic degeneracy, such as transcritical and saddle-node bifurcations. This approach avoids the computation of nonlinear normal forms. It is based only on quadratic invariants which can be determined directly from the quadratic terms in the uncontrollable dynamics.

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## Abstract The control of uncertain nonlinear systems by output feedback is addressed. A model‐reference tracking sliding mode controller is designed for uncertain plants with arbitrary relative degree. Nonlinearities of a given class are incorporated as state dependent and possibly unmatched dist