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Nonsingular prescribed‐time stabilization of a class of uncertain nonlinear systems: A novel coordinate mapping method.
- Source :
-
International Journal of Robust & Nonlinear Control . Jun2020, Vol. 30 Issue 9, p3566-3581. 16p. - Publication Year :
- 2020
-
Abstract
- Summary: This article investigates the nonsingular prescribed‐time stabilization problem for p‐normal form systems. Two significant progresses are made for the first time as follows: First, a novel concept named coordinate mapping of time domain, is proposed to transform the nonsingular prescribed‐time convergence problem into the ordinary finite‐time convergence problem of transformed time‐varying system. Second, a set of new parameters are introduced to extend the existing adding a power integrator technique, such that the power restriction is removed. Based on above design procedure, a periodic controller is constructed to stabilize the state of the p‐normal form system into a small neighborhood of the equilibrium in prescribed time. Theoretical result is supported by numerical simulation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10498923
- Volume :
- 30
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- International Journal of Robust & Nonlinear Control
- Publication Type :
- Academic Journal
- Accession number :
- 143218360
- Full Text :
- https://doi.org/10.1002/rnc.4949