Proportional control, 1st-order stable plant: disturbance rejection, measurement noise, theory

Antonio Sala, UPV

Difficulty: *** ,       Relevance: PIC,      Duration: 19:21

*Enlace a Spanish version

Materials:    [ Cód.: JustifTheoryP1stOrder.mlx ] [ PDF ]

Summary:

This video continues the analysis, based on the example process G(s) = 2(2s + 1), of the theory underlying the behaviour of proportional control on stable 1st-order processes. The previous video [Pteo1EN] discussed setpoint tracking performance (analysis of y = GK(1 + GK) r) and, in this video, we discuss input disturbance rejection (analysis of y = G(1 + GK) du), both in dynamics (settling time) and steady-state deviation (final value, DC gain); last, we discuss measurement noise amplification on the manipulated variable (frequency-response analysis of u = K(1 + GK) n), mostly at high frequencies.

*Link to my [ whole collection] of videos in English. Link to larger [ Colección completa] in Spanish.

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