A regulator for a class of unknown continuous-time nonlinear systems
β Scribed by Anthony Brockwell
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 270 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0167-6911
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β¦ Synopsis
We introduce a control law for a class of unknown nonlinear continuous-time systems in which full state measurements are available. We show that as long as a certain feedback gain parameter is su ciently large, the closed-loop system is stable. Furthermore, the magnitude of the control is bounded in the limit. As a corollary to the main result, we show that ΓΏrst-order nonlinear systems in the class we consider can be stabilized using linear proportional integral controllers, and we give explicit tuning rules for these controllers.
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