Quasi-polynomial system representation for the analysis and control of nonlinear systems
| Authors: | Szederkenyi Gabor, Computer and Automation Research Institute, Hungarian Academy of Sciences, Hungary
Magyar Attila, University of Veszprém, Hungary, Hungary
Hangos Katalin M., Computer and Automation Research Institute, Hungarian Academy of Sciences, Hungary |
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| Topic: | 2.3 Non-Linear Control Systems |
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| Session: | Nonlinear Stabilization II |
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| Keywords: | nonlinear systems, quasi-polynomial systems, stability, zero dynamics, stabilizing feedback controllers |
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Abstract
The application of quasi-polynomial system representation for theanalysis and control of smooth nonlinear systems is proposed inthis paper. The analysis part includes the global stability analysis ofthe open loop system and that of the zero dynamics. It is shownthat the stabilizing controller design with monomial feedbackstructure leads to the feasibility of bilinear matrixinequalities. The methods are illustrated on simple examples.
