Stability theory for linear time-invariant plants with periodic digital controllers

Francis B.A.; Georgiou T.T.

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Stability theory for linear time-invariant plants with periodic digital controllers

机译：具有周期数字控制器的线性时不变植物的稳定性理论

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The control of a linear time-invariant plant by a digital controller composed of a sampler, a periodic discrete-time component, and a zero-order hold is considered. The stability of such a configuration is analyzed. It is shown how closed-loop zeros can be placed using such a scheme. As a consequence, it is proved that the gain margin can be arbitrarily assigned by suitable choice of sampling time and digital controller. The design procedure is constructive, using state-space methods.

机译：考虑通过由采样器，周期性离散时间分量和零阶保持组成的数字控制器控制线性时不变设备。分析了这种配置的稳定性。它显示了如何使用这种方案放置闭环零点。结果，证明了可以通过适当选择采样时间和数字控制器来任意分配增益裕度。使用状态空间方法，设计过程具有建设性。

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《IEEE Transactions on Automatic Control》 |1988年第9期|P.820-832|共13页
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Francis B.A.; Georgiou T.T.;
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Stability theory for linear time-invariant plants with periodic digital controllers

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