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Local stabilization of minimum-phase nonlinear systems |
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| Authors: | Christopher I. Byrnes |
| Affiliation: | 1. Federal University of São João del-Rei, Department of Electrical Engineering, Brazil;2. Federal University of Minas Gerais, Graduate Program in Electrical Engineering, Brazil;3. Federal University of Minas Gerais, Department of Electronics Engineering, Brazil;1. Department of Elec. Eng.-Systems, Tel-Aviv University, Tel-Aviv 69978, Israel;2. Department of Elec. and Computer Eng. and the Department of Bioengineering, Northeastern University, Boston, MA, United States |
| Abstract: | In this note we briefly review the notion of a nonlinear minimum-phase system, i.e. a system which when constrained in such a way as to produce zero output, evolves with an asymptotically stable dynamics. The main purpose of the paper is to show that any minimum-phase nonlinear system can always be locally stabilized by smooth state-feedback |
| Keywords: | Nonlinear systems Feedback stabilization Zero dynamics Center mainfold theory Variable Structure Control |
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