Quantized Dynamic Output Feedback H∞ Control for Discrete-time Systems with Quantizer Ranges Consideration
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摘要: 本文研究了离散时间线性时不变系统的量化动态输出反馈 H 无穷控制问题. 所考虑的动态量化器由动态调节参数和静态量化器组成. 静态量化器范围具有一定的实际意义, 这一点在本文充分考虑. 首先, 在考虑量化误差影响的情况下, 本文给出了既依赖于控制器状态又依赖于系统测量输出的量化控制策略使得闭环系统渐进稳定且具有指定的 H 无穷性能指标. 然后, 在这一结果的基础上, 又提出了基于线性矩阵不等式的迭代的优化算法来优化静态量化器范围, 从而得到能保证系统 H 无穷性能需求且具有最小量化器范围的量化控制策略. 最后通过仿真例子验证了所提出方法的有效性.Abstract: 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.
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Key words:
- Dynamic output feedback /
- dynamic quantizer /
- optimization /
- H∞ control /
- LMI
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