TY - GEN
T1 - Suboptimal guaranteed cost fuzzy control design for nonlinear ODE coupled with semi-linear parabolic PDE system
AU - Zhu, Huan Yu
AU - Wu, Huai Ning
AU - Wang, Jun Wei
N1 - Publisher Copyright:
© 2015 Technical Committee on Control Theory, Chinese Association of Automation.
PY - 2015/9/11
Y1 - 2015/9/11
N2 - This paper proposes a suboptimal guaranteed cost fuzzy control design for a class of nonlinear coupled systems, which are described by an n-dimensional nonlinear ordinary differential equations (ODEs) and a semi-linear scalar parabolic partial differential equation (PDE) connected in feedback. Initially, the nonlinear coupled system is represented by a Takagi-Sugeno (T-S) fuzzy coupled ODE-PDE model. Then, on the basis of the obtained T-S fuzzy coupled model, the control design method is developed in terms of linear matrix inequalities (LMIs) to exponentially stabilize the fuzzy coupled system while providing an upper bound on the cost function. The proposed feedback controller consists of the ODE state feedback and the PDE static output feedback employing collocated pointwise actuators-sensors. By utilizing the existing LMI optimization techniques, a suboptimal fuzzy control problem is also devoted to minimize the upper bound of the cost function. Finally, the effectiveness of the proposed method is verified by a numerical simulation on the control of a hypersonic rocket car.
AB - This paper proposes a suboptimal guaranteed cost fuzzy control design for a class of nonlinear coupled systems, which are described by an n-dimensional nonlinear ordinary differential equations (ODEs) and a semi-linear scalar parabolic partial differential equation (PDE) connected in feedback. Initially, the nonlinear coupled system is represented by a Takagi-Sugeno (T-S) fuzzy coupled ODE-PDE model. Then, on the basis of the obtained T-S fuzzy coupled model, the control design method is developed in terms of linear matrix inequalities (LMIs) to exponentially stabilize the fuzzy coupled system while providing an upper bound on the cost function. The proposed feedback controller consists of the ODE state feedback and the PDE static output feedback employing collocated pointwise actuators-sensors. By utilizing the existing LMI optimization techniques, a suboptimal fuzzy control problem is also devoted to minimize the upper bound of the cost function. Finally, the effectiveness of the proposed method is verified by a numerical simulation on the control of a hypersonic rocket car.
KW - Coupled ODE-PDE systems
KW - Exponential stability
KW - Suboptimal fuzzy control
KW - Takagi-Sugeno (T-S) fuzzy model
UR - https://www.scopus.com/pages/publications/84946547041
U2 - 10.1109/ChiCC.2015.7259838
DO - 10.1109/ChiCC.2015.7259838
M3 - 会议稿件
AN - SCOPUS:84946547041
T3 - Chinese Control Conference, CCC
SP - 1401
EP - 1406
BT - Proceedings of the 34th Chinese Control Conference, CCC 2015
A2 - Zhao, Qianchuan
A2 - Liu, Shirong
PB - IEEE Computer Society
T2 - 34th Chinese Control Conference, CCC 2015
Y2 - 28 July 2015 through 30 July 2015
ER -