网络控制系统动态量化H∞控制

Dynamic Quantization H_∞ Control for Networked Control Systems

基于线性矩阵不等式技术,采用状态反馈控制,考虑同时带有网络诱导随机丢包和量化的H∞控制问题。考虑信号经网络从传感器到控制器和从控制器到执行器的传输中存在通信诱导随机丢包,并采用动态量化器量化信号。设计H∞控制器的同时,提出量化的控制策略,使得闭环系统在量化器的量化范围条件下指数均方稳定且具有指定的H∞性能指标。通过数值仿真例子表明设计方法的有效性。

The state feedback H∞ control problem for networked control systems with quantization and random packet dropouts is dis- cussed. The random packet dropouts from the sensor to the controller and from the controller to the actuator are considered： The quantiz- er considered here is dynamic. The state feedback H∞ controller can be constructed via solving a linear matrix inequality. A quantized H∞control strategy is derived, with a condition on the quantization range and the error bound satisfied, such that the closed - loop sys- tem with quantization and random delays exponentially mean - square stable and with a prescribed H~ performance bound. An example is presented to illustrate the effectiveness of the proposed method.