TY - GEN
T1 - Dissipation analysis and H∞ control of stochastic nonlinear systems based on Hamiltonian realization
AU - Liu, Yanhong
AU - Cao, Guizhou
AU - Tang, Shuxia
AU - Cai, Xiushan
N1 - Publisher Copyright:
© 2016 American Automatic Control Council (AACC).
PY - 2016/7/28
Y1 - 2016/7/28
N2 - This paper proposes a novel dissipation analysis and a constructive H∞ control method for stochastic nonlinear systems. First, we put forward a sufficient condition for the dissipation of stochastic nonlinear systems by completing their Hamiltonian realization. The internal structure and energy property of the system is explored as well. Then, we show that the dissipation property is preserved for parallel and feedback interconnected dissipative stochastic Hamiltonian systems. Moreover, based on the dissipation property of the subsystems, a feedback dissipation controller is proposed for series interacted dissipative stochastic Hamiltonian systems. Finally, we propose an H∞ controller based on the stochastic dissipative Hamiltonian realization of uncertain stochastic nonlinear systems and show that the Hamiltonian function can be chosen to construct a solution of Hamiltonian- Jacobi inequality. Numerical simulation results illustrate the effectiveness of the proposed method.
AB - This paper proposes a novel dissipation analysis and a constructive H∞ control method for stochastic nonlinear systems. First, we put forward a sufficient condition for the dissipation of stochastic nonlinear systems by completing their Hamiltonian realization. The internal structure and energy property of the system is explored as well. Then, we show that the dissipation property is preserved for parallel and feedback interconnected dissipative stochastic Hamiltonian systems. Moreover, based on the dissipation property of the subsystems, a feedback dissipation controller is proposed for series interacted dissipative stochastic Hamiltonian systems. Finally, we propose an H∞ controller based on the stochastic dissipative Hamiltonian realization of uncertain stochastic nonlinear systems and show that the Hamiltonian function can be chosen to construct a solution of Hamiltonian- Jacobi inequality. Numerical simulation results illustrate the effectiveness of the proposed method.
UR - http://www.scopus.com/inward/record.url?scp=84992070799&partnerID=8YFLogxK
U2 - 10.1109/ACC.2016.7525520
DO - 10.1109/ACC.2016.7525520
M3 - Conference contribution
AN - SCOPUS:84992070799
T3 - Proceedings of the American Control Conference
SP - 3892
EP - 3897
BT - 2016 American Control Conference, ACC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 6 July 2016 through 8 July 2016
ER -