Decentralized parametric stabilization for interconnected systems with time-varying quantizers

Parametric stability and states feedback controllers are studied for interconnected systems with two quantized signals in states and control inputs in this paper. First, a decentralized state feedback controller is designed for interconnected systems without quantization and the corresponding stable region is obtained. Second, a quantized control strategy is proposed which is dependent not only on the controller states but also on the system control input. Since the state and control inputs need to be quantized by general quantizers before they are passed to the controllers and system, the differences between the quantify value and the true value affect the stability of the system, so an state-dependent strategy for updating the time-varying quantizers´ parameters is proposed, which makes the closed-loop system parametric stable. Finally, the numerical example is given to show the effectiveness of the proposed techniques.