Title :
On passivity based control of stochastic port-Hamiltonian systems
Author :
Satoh, Satoshi ; Fujimoto, Kenji
Author_Institution :
Dept. of Mech. Sci. & Eng., Nagoya Univ., Nagoya, Japan
Abstract :
This paper introduces stochastic port-Hamiltonian systems and clarifies some of their properties. Stochastic port-Hamiltonian systems are extension of port-Hamiltonian systems which are used to express various deterministic passive systems. Some properties such as passivity of port-Hamiltonian systems do not generally hold for the stochastic port-Hamiltonian systems. Firstly, we show a necessary and sufficient condition to preserve the stochastic Hamiltonian structure of the original system under time-invariant coordinate transformations. Secondly, we derive a condition to maintain stochastic passivity of the system. Finally, we introduce stochastic generalized canonical transformations and propose a stabilization method based on stochastic passivity.
Keywords :
differential equations; stability; stochastic systems; passive systems; passivity based control; stabilization method; stochastic port-Hamiltonian systems; time-invariant coordinate transformations; Control design; Control systems; Convergence; Differential equations; Lyapunov method; Output feedback; Stochastic processes; Stochastic systems; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738733