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消除脉冲

带有奇异描述符矩阵的 StateSpaceModel 的解可以包含不同输入. 若输入不连续，则结果可能是不理想的脉冲.

Wolfram Language code: ssm = StateSpaceModel[{{{0, 1, 0, 0, 0}, {-1, 0, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, 0, 1}}, {{0}, {1}, {0}, {0}, {1}}, {{-2, 0, -1, 0, 1}}, {{0}}, {{1, 0, 0, 0, 0}, {0, 1, 0, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, 0}}}, SamplingPeriod -> None, SystemsModelLabels -> None];
Wolfram Language code: Simplify[StateResponse[ssm, {HeavisideTheta[t - 1]}, t] /. t -> 1]
若系统可控，则几乎所有的状态反馈控制器都会消除该脉冲：
Wolfram Language code: ControllableModelQ[ssm]
Wolfram Language code: closedloop = SystemsModelStateFeedbackConnect[ssm, {{0, 0, k, 0, 0}}]
Wolfram Language code: Simplify[StateResponse[closedloop, {HeavisideTheta[t - 1]}, t] /. t -> 1]