23 lines
866 B
Markdown
23 lines
866 B
Markdown
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title = "Right Half Plane Zeros"
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author = ["Thomas Dehaeze"]
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draft = false
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Right Half Plane (RHP) Zeros are present in a broad range of systems.
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- SISO RHP zeros:
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- \\(G(z) = 0\\). The real part of \\(z\\) is positive
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- MIMO RHP zeros:
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- RHP zeros of the determinant of the transfer function matrix
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- For MIMO plants, the zero is associated with an output direction
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- Consequences:
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- Non minimum phase
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- Usually, if looking at the step response, at first the response goes in the wrong direction
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- The frequency of the RHP zero should be outside the controller bandwidth.
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It therefore impose a fundamental limitation to the controller bandwidth.
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The reason is that inside the control bandwidth, the controller basically inverts the plant, and the inverse of a RHP zero is an unstable pole.
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