论文标题
整数阶杆和零的分数部分取消
Fractional-Order Partial Cancellation of Integer-Order Poles and Zeros
论文作者
论文摘要
这种贡献的关键思想是对非最低相位零或不稳定极点的部分补偿。因此，整数零/极分为分数伪零/极点的产物。这些分数项的幅度和相响应得出的幅度和相位响应被得出，将这些补偿器包括在循环形状设计中。可以将这些补偿器推广到偶联的复杂零/极点，也可以应用隐式分数项。在非最低相位的情况下，其补偿会导致较高的相位边缘和跨跨界频率周围陡峭的开环振幅响应，从而导致逐步响应的降低，如数值示例所示。
The key idea of this contribution is the partial compensation of non-minimum phase zeros or unstable poles. Therefore the integer-order zero/pole is split into a product of fractional-order pseudo zeros/poles. The amplitude and phase response of these fractional-order terms is derived to include these compensators into the loop-shaping design. Such compensators can be generalized to conjugate complex zeros/poles, and also implicit fractional-order terms can be applied. In the case of the non-minimum phase zero, its compensation leads to a higher phase margin and a steeper open-loop amplitude response around the crossover frequency resulting in a reduced undershooting in the step-response, as illustrated in the numerical example.
