Applied Mathematics and Computation ( IF 3.472 ) Pub Date : 2020-11-19 , DOI: 10.1016/j.amc.2020.125643
Xiaona Song; Mi Wang; Shuai Song; Zhen Wang

In this note, a sliding mode control scheme is firstly developed for a class of stochastic hyperbolic partial differential equation (PDE) systems. Initially, it is assumed that the considered systems’ states are unavailable for the controller, thus a new state observer is designed. Furthermore, to save the communication resources in network, the system’s measure output signal is quantized before transmission, based on which a novel sliding mode controller is constructed to enhance the system’s robustness. Then, some new criteria that guarantee the systems’ stability and ${\mathsc{H}}_{\infty }$ disturbance attenuation performance are established in terms of linear matrix inequality. In the end, two simulation studies are presented to demonstrate the effectiveness of the developed control strategy.

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