Title
Uniform global asymptotic stability of adaptively controlled nonlinear systems via strict lyapunov functions
Document Type
Conference Proceeding
Publication Date
10-19-2009
Abstract
We prove global uniform asymptotic stability of adoptively controlled dynamics by constructing explicit global strict Lya-punov functions. We assume a persistency of excitation condition that implies both asymptotic tracking and parameter identification. We also construct input-to-state stable Lyapunov functions under an added growth assumption on the regressor, assuming that the unknown parameter vector is subject to suitably bounded time-varying uncertainties. This quantifies the effects of uncertainties on the tracking and parameter estimation. We demonstrate our results using the Rössler system. Copyright © 2008 by ASME.
Publication Source (Journal or Book title)
2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008
First Page
67
Last Page
72
Recommended Citation
Mazenc, F., De Queiroz, M., & Malisoff, M. (2009). Uniform global asymptotic stability of adaptively controlled nonlinear systems via strict lyapunov functions. 2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008 (PART A), 67-72. Retrieved from https://repository.lsu.edu/mathematics_pubs/988