A frequency domain philosophy for nonlinear systems, with applications to stabilization and to adaptive control

@article{Byrnes1984AFD,
  title={A frequency domain philosophy for nonlinear systems, with applications to stabilization and to adaptive control},
  author={Christopher Byrnes and Alberto Isidori},
  journal={The 23rd IEEE Conference on Decision and Control},
  year={1984},
  pages={1569-1573}
}
In this paper we develop, in the nonlinear setting, certain of the basic elements of the frequency domain approach to linear system theory. Thus, we develop analogues of the notion of left and right half plane zeros for systems of relative degree one. It is shown that high gain output feedback stabilizes minimum phase systems of (strong) relative degree one and that lag-lead compensators can also be used to "shape the response" of nonlinear systems. We conclude with a discussion of the… CONTINUE READING
Highly Cited
This paper has 109 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 38 extracted citations

The zero dynamics of a nonlinear system: FrOm The Origin To the latest progresses of a long successful story

Proceedings of the 30th Chinese Control Conference • 2011
View 8 Excerpts
Highly Influenced

The Zero Dynamics Form for Nonlinear Differential-Algebraic Systems

IEEE Transactions on Automatic Control • 2017
View 3 Excerpts

110 Citations

0510'85'92'00'08'16
Citations per Year
Semantic Scholar estimates that this publication has 110 citations based on the available data.

See our FAQ for additional information.