Robust Sampled-Data Control for Uncertain Markov Jumping Parabolic PDE Systems

This paper introduces a robust sampled-data (SD) control for uncertain parabolic partial differential equation (PDE) system with Markov jumping parameters (MJPs). In control engineering, in order to fully utilize the advantages of digital technology and handle the uncertainties in the system, a mode-dependent robust SD control strategy presented by linear matrix inequality (LMI) based conditions is given on basis of an appropriate Lyapunov functional, which can ensure the stochastically exponential stability of closed-loop Markov jumping parabolic PDE SD control system. Finally, an example is given to verify the effectiveness of the proposed method.