Non-linear unity-feedback systems and Q-parametrization†
- 1 July 1984
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 40 (1), 37-51
- https://doi.org/10.1080/00207178408933255
Abstract
This paper concerns non-linear systems, defines a new concept of stability the stability, and extends to unity-feedback systems the technique of Q-parametrization introduced for linear system by Zames and developed by Desoer, Chen and Gustafson. We specify (i) a global parametrization of all controllers that -stabilize a given -stable non-linear plant, (ii) a parametrization of a class of controllers that stabilize an unstable non-linear plant, and (iii) necessary and sufficient conditions for a nonlinear controller to simultaneously stabilize two non-linear plants.Keywords
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