PROJECT TITLE :

Recursive Digital Filters With Tunable Lag and Lead Characteristics for Proportional-Differential Control

ABSTRACT:

Regression analysis using orthogonal polynomials in the time domain is used to derive a digital filter with an infinite impulse response that satisfies maximally flat design constraints near dc. The low-frequency part, and high-frequency gain, may be adjusted for lead or lag compensation of plant dynamics. Simulated design examples are used to point out how the compensating filter may be intuitively tuned for the specified closed-loop response. It's shown that the second-order instantiation of the compensating filter reduces to a proportional-differential plus filter controller, with improved noise attenuation; closed-kind expressions for the filter coefficients, as a operate of two style parameters, are provided.