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On direct adaptive control design for nonlinear discrete-time uncertain systems
- Source :
-
Journal of the Franklin Institute . Mar2008, Vol. 345 Issue 2, p119-135. 17p. - Publication Year :
- 2008
-
Abstract
- Abstract: In this paper, we develop a direct adaptive control framework for adaptive stabilization of the MIMO nonlinear uncertain systems, which can be represented as discrete-time normal form with input-to-state zero dynamics. The framework is Lyapunov-based and guarantees partial stability of the closed-loop systems, such that the adaptation of the feedback gains can stabilize the closed-loop system without the knowledge of the system parameters. In addition, our results show that the adaptive feedback laws can be characterized by Kronecker calculus. Two numerical examples are given to demonstrate the efficacy of the proposed framework. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICAL analysis
*MATHEMATICS
*ALGEBRA
*LINEAR algebra
Subjects
Details
- Language :
- English
- ISSN :
- 00160032
- Volume :
- 345
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of the Franklin Institute
- Publication Type :
- Periodical
- Accession number :
- 28744492
- Full Text :
- https://doi.org/10.1016/j.jfranklin.2007.07.002