Add all bibliographic notes and zettels

content/zettels/right_half_plane_zeros.md

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+title = "Right Half Plane Zeros"
+author = ["Dehaeze Thomas"]
+draft = false
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+
+Tags
+:
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+Right Half Plane (RHP) Zeros are present in a broad range of systems.
+
+-   SISO RHP zeros:
+    -   \\(G(z) = 0\\). The real part of \\(z\\) is positive
+-   MIMO RHP zeros:
+    -   RHP zeros of the determinant of the transfer function matrix
+    -   For MIMO plants, the zero is associated with an output direction
+-   Consequences:
+    -   Non minimum phase
+    -   Usually, if looking at the step response, at first the response goes in the wrong direction
+    -   The frequency of the RHP zero should be outside the controller bandwidth.
+        It therefore impose a fundamental limitation to the controller bandwidth.
+        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.
+
+
+## Bibliography {#bibliography}
+
+<style>.csl-entry{text-indent: -1.5em; margin-left: 1.5em;}</style><div class="csl-bib-body">
+</div>