Robust quantized control for Lurie systems
Lurie系统的鲁棒量化控制

The robust quantized state-feedback control for Lurie systems is addressed, where the static logarithmic quantizer is considered. According to the characteristics of the Lurie systems and the properties of the logarithmic quantizer, the Lurie systems with quantized state-feedback control are modeled as uncertain systems with two sector constraints. Then, by applying the small gain theorem, we establish a sufficient and necessary condition of internal stability for the closed-loop system with or without quantization effect, respectively. The corresponding state feedback control law is also developed. A numerical example is given to illustrate the effectiveness of the method proposed.