The characteristic equation of a closed-loop system is $1 + G(s)H(s) = 0$. For the given open-loop transfer function $G(s)H(s) = \frac{k}{s(s+6)}$, the characteristic equation is $s^2 + 6s + k = 0$. The roots of this equation must sum to $-6$ (from the coefficient of $s$). Option A, roots $-1$ and $-5$, sums to $-6$.
The roots of the closed-loop characteristic equation of the system shown in Fig. 6 are Fig. 6 Fig. 6
Asked in GS&EI ElectEngg 14 2024 1601 2025 · Topic: Computer and Information Technology (Computational Physics: Numerical methods and algorithms for physical problems)
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