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Practical Aspects in Closed-Loop Control
Published in Dorin O. Neacsu, Switching Power Converters, 2017
Applying the Final Value Theorem defines the constant steady-state value of a time function given its Laplace transform. This uses the partial fraction expansion. E(s)=a1s+ω1+⋯+ais+ωi+b1s−j⋅ω0+b2s+j⋅ω0
Laplace Transform
Published in Anatasia Veloni, Alex Palamides, Control System Problems, 2012
Anatasia Veloni, Alex Palamides
Final value theorem: This theorem is widely used in the study of automatic control systems as it allows the direct calculation of the system’s steady-state response. The steady-state response of a system is the final value of a system’s response. () limt→∞f(t)=lims→0sF(s)
Digital Control Systems
Published in Arthur G.O. Mutambara, Design and Analysis of Control Systems, 2017
The Final Value Theorem: The final value theorem may be viewed as the converse of the initial value theorem. It also applies only with the one-sided Z-transform. This theorem enables us to determine the behavior of r(k) as k → ∞ from its Z-transform. The final value theorem can be derived from the time shift theorem as follows:
Why do nonlinearities matter? The repercussions of linear assumptions on the dynamic behaviour of assemble-to-order systems
Published in International Journal of Production Research, 2019
We exploit the Initial Value Theorem (IVT) and Final Value Theorem (FVT) to mathematically crosscheck the correctness of the transfer function, guide the appropriate initial condition required by a simulation and to understand the final steady-state value of the dynamic response so as to help verify any simulation. Hence, the initial and final values of AINVAS, AINVSA, and ORATESA in responding to a unit step input are obtained.