Parametric Pole Assignment for Discrete-time Linear Periodic Systems via Output Feedback
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摘要: 采用周期输出反馈的途径, 考虑了线性离散时间周期系统的极点配置问题. 通过将闭环单值性矩阵进行一系列转化, 周期输出反馈律的求解问题可以转化为一类Sylvester矩阵方程的求解问题. 利用Sylvester矩阵方程的最新结果, 可以将输出反馈增益表示为参数化形式, 从而得到了能够实现极点配置的所有输出反馈控制器. 数值算例验证了方法的有效性.Abstract: This paper considers the pole assignment problem for discrete-time linear periodic systems through the use of linear periodic output feedback control. The monodromy matrix of the closed-loop system is represented as a special form by which the periodic control law can be obtained via the solution to a time-inviant Sylvester matrix equation. By utilizing a recent result on Sylvester matrix equation, a complete parametric approach for pole assignment via periodic output feedback is proposed, and a new algorithm is presented. A numerical example shows the effectiveness of the proposed approach.
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Key words:
- Discrete periodic systems /
- pole assignment /
- output feedback /
- parametric method
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