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For closed-loop stability of a system, the number of closed-loop roots in the right half of the s-plane must be zero. For a CT system, the plane in which the poles and zeros appear is the s plane of the Laplace transform. In the Continuous Conduction Mode of A MIMO Right-Half Plane Zero Example Roy Smith 4 June 2015 The performance and robustness limitations of MIMO right-half plane (RHP) transmission zeros are illustrated by example. Right Half Plane-zero (RHP-zero). The zero is not obvious from Bode plots, or from plots of the SVD of the frequency response matrix. A two-input, two-output system with a RHP zero is studied. Hi All, I would like to understand a bit more in details and clearly the concept of right half plane zero expecially how can I detect it (kind of) from a circuit and a bit of maths more (for example in a simple common source device). Hence, the number of counter-clockwise encirclements about − 1 + j 0 {\displaystyle -1+j0} must be equal to the number of open-loop poles in the RHP. The Right Half-Plane Zero (RHPZ) Let us conclude by taking a closer look at the right half-plane zero (RHPZ), which will be referenced abundantly in the next article on stability in the presence of a RHPZ. A pole-zero plot can represent either a continuous-time (CT) or a discrete-time (DT) system. Abstract: This paper expresses limitations imposed by right half plane poles and zeros of the open-loop system directly in terms of the sensitivity and complementary sensitivity functions of the closed-loop system. The characteristic function of a closed-looped system, on the other hand, cannot have zeros on the right half-plane. The boost converter’s double-pole and RHP-zero are dependant on the input voltage, output voltage, load resistance, inductance, and output capacitance, further complicating the transfer function. A two-step conversion process Figure 1 represents a classical boost converter where two switches appear. PSpice circuit to contrast a RHPZ and a LHPZ. The limitations are determined by integral relationships which must be satisfied by these functions. Well, RHP zeros generally have no direct link with system stability. Right-half-plane (RHP) poles represent that instability. 1. S-plane illustration (not to scale) of pole splitting as well as RHPZ creation. Its step response is: As you can see, it is perfectly stable. What will be the effect of that zero on the stability of the circuit? It will cause a phenomenon called ‘non-minimum phase’, which will make the system going to the opposite direction first when an external excitation has been applied. Figure 6. In this context, the parameter s represents the complex angular frequency, which is the domain of the CT transfer function. It has a zero at s=1, on the right half-plane. 2. 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