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On robust stability of discrete-time adaptive nonlinear control
- Source :
-
Systems & Control Letters . Jun2006, Vol. 55 Issue 6, p452-458. 7p. - Publication Year :
- 2006
-
Abstract
- Abstract: We consider adaptive control of discrete-time nonlinear systems with a single unknown parameter in this paper. We demonstrate that the necessary and sufficient condition for the existence of a feedback stabilizer that is robust to bounded noise is that the nonlinear growth rate of the system dynamics is less than 4. This result further confirms the conclusion of Guo [On critical stability of discrete-time adaptive nonlinear control, IEEE Trans. Automat. Control 42 (1997) 1488–1499] which addresses unbounded noise in a stochastic setting. Also in our worst-case approach, we find that much simpler adaptive stabilizers can be constructed when the nonlinear growth rate is less than 4. [Copyright &y& Elsevier]
- Subjects :
- *DISCRETE-time systems
*DIGITAL control systems
*SYSTEMS theory
*SYSTEM analysis
Subjects
Details
- Language :
- English
- ISSN :
- 01676911
- Volume :
- 55
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Systems & Control Letters
- Publication Type :
- Academic Journal
- Accession number :
- 20399744
- Full Text :
- https://doi.org/10.1016/j.sysconle.2005.09.008