WOLFRAM

Wolfram 语言与系统参考资料中心

为釜式反应器设计一个史密斯预估器

    
一个等温连续搅拌釜式反应器可以用一阶时滞系统建模：
Wolfram Language code: reactor = TransferFunctionModel[Unevaluated[{{(E^-δ s/1 + s)}}], s, SamplingPeriod -> None, SystemsModelLabels -> None];
延迟设为零的 PI 控制器设计会导致不稳定的闭环系统：
Wolfram Language code: pi = PIDTune[reactor /. δ -> 0, "PI"]; closedloop = SystemsModelFeedbackConnect[SystemsModelSeriesConnect[pi, reactor]]
Wolfram Language code: OutputResponse[closedloop /. δ -> 2, UnitStep[t - 1], {t, 0, 12}]; Plot[%, {t, 0, 12}, PlotRange -> All, ImageSize -> Medium]
用 SmithDelayCompensator 为时滞系统创建稳定器：
Wolfram Language code: smith = SmithDelayCompensator[reactor, pi]; closedloopSmith = SystemsModelFeedbackConnect[SystemsModelSeriesConnect[smith, reactor]]
Wolfram Language code: OutputResponse[closedloopSmith /. δ -> 2, UnitStep[t - 1], {t, 0, 12}]; Plot[%, {t, 0, 12}, PlotRange -> All, ImageSize -> Medium]