Sampled Data Fuzzy Control for Nonlinear Coupled Parabolic PDE ODE Systems
In this paper, a sampled data fuzzy control problem is addressed for a class of nonlinear coupled systems, which are described by a parabolic partial differential equation (PDE) and an ordinary differential equation (ODE) Initially, the nonlinear coupled system is accurately represented by the Takagi Sugeno (T S) fuzzy coupled parabolic PDE ODE model. Then, based on the T S fuzzy model, a novel time dependent Lyapunov functional is used to design a sampled data fuzzy controller such that the closed loop coupled system is exponentially stable, where the sampled data fuzzy controller consists of the ODE state feedback and the PDE static output feedback under spatially averaged measurements. The stabilization condition is presented in terms of a set of linear matrix inequalities. Finally, simulation results on the control of a hypersonic rocket car are given to illustrate the effectiveness of the proposed design method.
IEEE Transactions on Cybernetics