This paper investigates the observer-based quantized output feedback control for a kind of nonlinear discrete-time systems. The system studied in this paper is denoted by a Takagi–Sugeno (T–S) fuzzy model. Under digital communication channels, all transmitted signals between the system and the actuator (including the controller and the observer) will be quantized by the dynamic quantizers in the closed-loop system. Taking into consideration the design of the controller, observer, and dynamic parameters of quantizers, an effective matrix inequality decoupling method is presented to handle the problem. One is shown that the proposed design conditions of the controller, observer, dynamic parameters of quantizers are summarized in a matrix inequality, which can be synthesized synchronously. The resulting design ensures that the quantized closed-loop system can meet the prescribed ${\mathcal{H}}_{\infty }$ performance. Finally, the availability and the feasibility of the presented design method are demonstrated by a mechanical motion system.

本文研究了一类非线性离散时间系统的基于观测器的量化输出反馈控制。本文研究的系统由 Takagi-Sugeno (T-S) 模糊模型表示。在数字通信通道下，系统和执行器（包括控制器和观察器）之间的所有传输信号都将被闭环系统中的动态量化器量化。综合考虑控制器、观测器和量化器动态参数的设计，提出了一种有效的矩阵不等式解耦方法来解决该问题。一是提出的控制器、观测器、量化器动态参数的设计条件概括为一个矩阵不等式，可以同步合成。${\mathcal{H}}_{\infty }$表现。最后，通过机械运动系统证明了所提出的设计方法的可用性和可行性。