Observer-based sliding mode control for stochastic hyperbolic PDE systems with quantized output signal

Highlights：

• Based on the above discussion, we can find that fruitful results have been achieved for PDE systems. Various control approaches including sampled control, output feedback control, etc., have been proposed. However, sliding mode control remains an open issue for PDE systems. This is the first paper to investigate distributed sliding mode control for stochastic hyperbolic PDE systems, which can provide better disturbance attenuation performance compared with state feedback and output feedback control;

• Network transmission provides much merits for system design, such as high reliability, simple installation, etc. However, it is also necessary to consider the quantization error during the process of transmission. Thus, a quantized state estimator is designed to obtain the system?s states instead of the traditional observer.