TY - GEN
T1 - Nonlinear disturbance observer based control for nonlinear dissipative PDE systems
AU - Jin, Yuyi
AU - Wang, Hong Du
AU - Wu, Huai Ning
AU - Zhang, Ling
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/12/29
Y1 - 2017/12/29
N2 - A design method of finite dimensional nonlinear disturbance observer based control (NLDOBC) is proposed for a class of nonlinear dissipative partial differential equation (PDE) systems, where the disturbance is modeled by an exosystem of nonlinear ordinary differential equations (ODEs). Motivated by the fact that the dominant structure of the dissipative PDE is usually characterized by a finite number of degrees of freedom, the modal decomposition technique is initially applied to the PDE system to give a slow subsystem of low dimensional nonlinear ODEs. By using the nonlinear slow subsystem and exosystem, a nonlinear disturbance observer (NLDO) is constructed to estimate the disturbance. Then, on the basis of NLDO, an NLDOBC method is proposed in terms of linear matrix inequality (LMI) to ensure the exponential stability of the closed-loop PDE system in the presence of the modeled disturbance. Finally, the simulation results on control of one dimensional Fisher diffusion-reaction system show the effectiveness of the proposed method.
AB - A design method of finite dimensional nonlinear disturbance observer based control (NLDOBC) is proposed for a class of nonlinear dissipative partial differential equation (PDE) systems, where the disturbance is modeled by an exosystem of nonlinear ordinary differential equations (ODEs). Motivated by the fact that the dominant structure of the dissipative PDE is usually characterized by a finite number of degrees of freedom, the modal decomposition technique is initially applied to the PDE system to give a slow subsystem of low dimensional nonlinear ODEs. By using the nonlinear slow subsystem and exosystem, a nonlinear disturbance observer (NLDO) is constructed to estimate the disturbance. Then, on the basis of NLDO, an NLDOBC method is proposed in terms of linear matrix inequality (LMI) to ensure the exponential stability of the closed-loop PDE system in the presence of the modeled disturbance. Finally, the simulation results on control of one dimensional Fisher diffusion-reaction system show the effectiveness of the proposed method.
KW - disturbance rejection
KW - linear matrix inequality (LMI)
KW - nonlinear disturbance observer based control (NLDOBC)
KW - partial differential equation (PDE)
UR - https://www.scopus.com/pages/publications/85050384881
U2 - 10.1109/CAC.2017.8242997
DO - 10.1109/CAC.2017.8242997
M3 - 会议稿件
AN - SCOPUS:85050384881
T3 - Proceedings - 2017 Chinese Automation Congress, CAC 2017
SP - 1460
EP - 1465
BT - Proceedings - 2017 Chinese Automation Congress, CAC 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 Chinese Automation Congress, CAC 2017
Y2 - 20 October 2017 through 22 October 2017
ER -