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摘要: 回路成形法设计中是用互质因子摄动来表示系统不确定性的. 文中对这种互质因子摄动进行了较详尽的分析, 指出系统中的弱阻尼模态会增大互质因子摄动的范数, 因而降低了允许的摄动值, 使系统实际上失去了鲁棒性. 所以H∞回路成形设计并不一定像所期望的那样具有鲁棒性. 文中并用一个参数摄动下的鲁棒性为例来进行说明.Abstract: The uncertainty of the system in the loop shaping design is represented by coprime factor perturbations. These coprime factor perturbations are analyzed in detail in the paper, and it is pointed out that the lightly damped resonant poles of the plant can increase the norm of the coprime factor perturbation and greatly reduce the size of allowable perturbation. Thus, the robustness of the system is really lost. This means that the H∞ loop shaping design may not be a robust design as expected. An example with parameter perturbations is also illustrated in the paper.
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Key words:
- Loop shaping /
- coprime factor perturbation /
- lightly damped mode /
- robust design
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