NGMV Control Toolbox

Common Terms Used in NGMV Control

This section defines some of the terms that are frequently used in the context of NGMV control:

• Generalized output, denoted by , is a combination of dynamically weighted error and control signals:

• Generalized plant is a nonlinear operator that can be viewed as the original plant scaled by the error weighting and shifted by the control weighting to ensure closed-loop stability and desired performance properties.
• Spectral factorization is a process of obtaining a minimum-phase stable representation of a transfer function. It is useful when merging two coloured noise sources into one, which corresponds to adding their spectra. In the NGMV control, the spectra of the reference and disturbance signals are thus combined.
• Diophantine equation is an equation whose unknowns and coefficients are polynomials or polynomial matrices.
• Matrix fraction is a representation of a multivariable transfer function matrix with the use of "numerator" and "denominator" polynomial matrices. Depending on their ordering, one can refer to the right or left matrix fraction.

Basic Questions About NGMV Control

Basic Steps of NGMV Control Design