Abstract
The purpose of this paper is to use the sampled-data fuzzy control (SDFC) method with exponential time-varying gains (ETVGs) for solving the control problem with regard to nonlinear parabolic PDE systems. Firstly, a model is established via the T-S fuzzy approach towards the PDE system. Next, a SD fuzzy controller with ETVGs is designed for the system. Via a Lyapunov functional, the design condition of the SD fuzzy controller with ETVGs expressed by the linear matrix inequalities is obtained, which is used to make the system exponentially stable (ES). Lastly, by carrying out simulation verification through a concrete example, we test and verify the validity of the SDFC approach.
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