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Passivity Based Control of Stochastic Port-Hamiltonian Systems.
- Source :
-
IEEE Transactions on Automatic Control . May2013, Vol. 58 Issue 5, p1139-1153. 15p. - Publication Year :
- 2013
-
Abstract
- This paper introduces Stochastic Port-Hamiltonian Systems (SPHS's), whose dynamics are described by Itô stochastic differential equations. SPHS's are extension of the deterministic port-Hamiltonian systems which are used to express various passive systems. First, we show a necessary and sufficient condition to preserve the stochastic port-Hamiltonian structure of the system under a class of coordinate transformations. Second, we derive a condition for the system to be stochastic passive. Third, we equip Stochastic Generalized Canonical Transformations (SGCT's), which are pairs of coordinate and feedback transformations preserving the stochastic port-Hamiltonian structure. Finally, we propose a stochastic stabilization framework based on stochastic passivity and SGCT's. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 58
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 101187645
- Full Text :
- https://doi.org/10.1109/TAC.2012.2229791