Quantized Dynamic Output Feedback H∞ Control for Discrete-time Systems with Quantizer Ranges Consideration

使量子化的动态产量反馈 H 控制为的问题分离时间线性时间不变(LTI ) 系统在这份报纸被调查。考虑的 quantizer 动态、镇静一可调节激增参数和静态的 quantizer。静态的 quantizer 范围具有实际意义并且充分被考虑。首先，考虑量子化错误，使量子化的控制策略控制器状态依赖于不仅而且在系统测量产量上，它被建议以便使量子化的靠近环的系统是 asymptotically 稳定的，与规定 H，性能跳。根据这结果，然后，一个反复的基于 LMI 的优化算法被开发优化静态的 quantizer 范围为靠近环的系统满足 H 表演要求。一个例子被举说明建议方法的有效性。

The problem of quantized dynamic output feedback H∞ control for discrete-time linear time-invariant （LTI） systems is investigated in this paper. The quantizer considered is dynamic and composed of an adjustable ＂zoom＂ parameter and a static quantizer. Static quantizer ranges are of practical significance and are fully considered. First, taking quantization errors into account, a quantized control strategy is dependent not only on the controller states but also on the system measurement outputs, which is proposed such that the quantized closed-loop system is asymptotically stable and with a prescribed H∞ performance bound. Then, on the basis of this result, an iterative LMI-based optimization algorithm is developed to optimize the static quantizer ranges to meet H∞ performance requirements for closed-loop systems. An example is presented to illustrate the effectiveness of the proposed method.