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You're right, a single (real-valued) zero in the RHP could cause a phase that moves from $\pi$ at $\omega=0$ to $\pi/2$ for $\omega\to\infty$. However, if you rewrite the corresponding contribution to the transfer function as $s_0-s$ (i.e., you change the sign), then you obtain a phase shift between $0$ at $\omega=0$ and $-\pi/2$ for $\omega\to\infty$. The ...

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