Adaptive Sliding Mode Control of Mismatched Quantization System

In practical engineering applications, due to the lack of hardware, the parameters of the coding side and the decoding side of the quantizer are inconsistent. The sliding mode control (SMC) for the mismatched quantization system is studied. In the first place, an observer is given to predict the system state trajectory. In the next place, a sliding mode surface (SMS) and an observer are constructed to effectively get rid of the influence of mismatched quantization parameters. Furthermore, it can make the nonlinear system meet the requirement of reaching the SMS and ensure the asymptotically stable of mismatched quantization system. In the end, an example is used to prove the validity of the obtained results.