TY - JOUR
T1 - H∞fuzzy control for a class of nonlinear coupled ODE-PDE systems with input constraint
AU - Wu, Huai Ning
AU - Zhu, Huan Yu
AU - Wang, Jun Wei
N1 - Publisher Copyright:
© 1993-2012 IEEE.
PY - 2015/6/1
Y1 - 2015/6/1
N2 - This paper deals with the problem of H∞ fuzzy control design with an input constraint for a class of coupled systems, which consist of an n-dimensional nonlinear subsystem of ordinary differential equations (ODEs) and a scalar linear parabolic subsystem of partial differential equation (PDE) connected in feedback. Initially, the nonlinear coupled system is represented by a Takagi-Sugeno (T-S) fuzzy-coupledODE-PDEmodel.Then, based on the fuzzy model and parallel distributed compensation scheme, a fuzzy state feedback control design is developed via Lyapunov's direct method, such that the resulting closed-loop fuzzy-coupled system is exponentially stable, and a prescribed H∞ performance of disturbance attenuation is satisfied. The existing condition of the proposed H∞ fuzzy controllers is given in terms of linear matrix inequalities (LMIs). Moreover, in order to make the attenuation level as small as possible while the input constraint is respected to avoid the high magnitude, a suboptimal H∞-constrained fuzzy control problem is also addressed, which is formulated as an LMI optimization problem. Finally, the proposed method is applied to the control of a hypersonic rocket car to illustrate its effectiveness.
AB - This paper deals with the problem of H∞ fuzzy control design with an input constraint for a class of coupled systems, which consist of an n-dimensional nonlinear subsystem of ordinary differential equations (ODEs) and a scalar linear parabolic subsystem of partial differential equation (PDE) connected in feedback. Initially, the nonlinear coupled system is represented by a Takagi-Sugeno (T-S) fuzzy-coupledODE-PDEmodel.Then, based on the fuzzy model and parallel distributed compensation scheme, a fuzzy state feedback control design is developed via Lyapunov's direct method, such that the resulting closed-loop fuzzy-coupled system is exponentially stable, and a prescribed H∞ performance of disturbance attenuation is satisfied. The existing condition of the proposed H∞ fuzzy controllers is given in terms of linear matrix inequalities (LMIs). Moreover, in order to make the attenuation level as small as possible while the input constraint is respected to avoid the high magnitude, a suboptimal H∞-constrained fuzzy control problem is also addressed, which is formulated as an LMI optimization problem. Finally, the proposed method is applied to the control of a hypersonic rocket car to illustrate its effectiveness.
KW - Coupled ordinary differential equation and partial differential equation (ODE-PDE) systems
KW - H control
KW - Takagi-Sugeno (T-S) fuzzy model
KW - exponential stability
UR - https://www.scopus.com/pages/publications/84930947438
U2 - 10.1109/TFUZZ.2014.2318180
DO - 10.1109/TFUZZ.2014.2318180
M3 - 文章
AN - SCOPUS:84930947438
SN - 1063-6706
VL - 23
SP - 593
EP - 604
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 3
M1 - 6800027
ER -