kappa - Frequency-wise nu-gap metric

This function calculates the frequency-wise version of the nu-gap between two systems.
394 Downloads
Updated 20 May 2013

View License

[k,ksup,omega] = kappa(P1,P2) or [k,ksup] = kappa(P1,P2,omega) returns the frequency-wise v-Gap between the dynamical systems P1 and P2 as defined in Vinnicombe (2000, p.123). This essentially gives a frequency-wise measure of the difference between two plants and the worst-case drop in closed-loop performance if a controller designed for one system is used with the other. Following the reference, ksup is the supremum of k if [P2, -P1'] has the same number of open RHP poles as [P1, -P1'], otherwise it will be set to unity.

kappa(P1,P2) or kappa(P1,p2,omega) without any output arguments will display the results in graphical form.

REFERENCE
1. Vinnicombe, G. (2000) Uncertainty and Feedback: H-Infinity Loop-Shaping and the v-Gap Metric. London: Imperial College

See also: sigma, rho.

Cite As

Daniel J. Auger (2024). kappa - Frequency-wise nu-gap metric (https://www.mathworks.com/matlabcentral/fileexchange/41789-kappa-frequency-wise-nu-gap-metric), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2012b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Find more on Stability Analysis in Help Center and MATLAB Answers
Tags Add Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Published Release Notes
1.0.0.0