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Sliding mode control of uncertain systems: a singular perturbation approach.
- Source :
-
IMA Journal of Mathematical Control & Information . Dec2002, Vol. 19 Issue 4, p377-398. 22p. - Publication Year :
- 2002
-
Abstract
- In this paper we consider a nonlinear control system affected by deterministic uncertainty and described by a system of ordinary differential equations. The uncertainty is modelled by a multivalued map whose t‐measurable and x‐Lipschitz selections represent the possible system dynamics of the uncertain system. We propose a dynamical feedback control design, based on the singular perturbation theory, which allows all the possible system trajectories corresponding to the system dynamics to have the same prescribed behaviour. Specifically, given a manifold K of the state space, defined as the zeros of a smooth map, the proposed control steers and then holds, during finite or infinite time intervals, any possible system trajectory to any prescribed neighbourhood of K. A result ensuring the exact attainability of K is also provided. Some examples illustrating the obtained results are presented. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 02650754
- Volume :
- 19
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- IMA Journal of Mathematical Control & Information
- Publication Type :
- Academic Journal
- Accession number :
- 44627098
- Full Text :
- https://doi.org/10.1093/imamci/19.4.377