Robust predictive control of networked uncertain systems with control input quantization

In this paper, we mainly study the stability analysis and robust predictive controller design of networked uncertain systems with control input quantization. Firstly, a logarithmic quantizer and sector-bounded method are adopted. The system is modeled as a linear uncertain system model with sector-bounded uncertainties. Then, the quantization control problem is transformed into a solution of a sector-bound bounded uncertainty Robust Control problem. Secondly, based on the model and the robust stability analysis, a robust predictive controller design method is proposed to guarantee the asymptotic stability of the closed-loop system with certain control performance in the form of linear matrix inequality. Finally, the theoretical results of this paper are verified by simulation. The simulation results show that the proposed controller can guarantee the stability of the closed-loop system and achieve a certain control performance, and the robust predictive controller is effective and feasible.