Continuous-time performance limitations for overshoot and resulted tracking measures
Optimization and Control
2011-03-23 v1 Systems and Control
Abstract
A dual formulation for the problem of determining absolute performance limitations on overshoot, undershoot, maximum amplitude and fluctuation minimization for continuous-time feedback systems is constructed. Determining, for example, the minimum possible overshoot attainable by all possible stabilizing controllers is an optimization task that cannot be expressed as a minimum-norm problem. It is this fact, coupled with the continuous-time rather than discrete-time formulation, that makes these problems challenging. We extend previous results to include more general reference functions, and derive new results (in continuous time) on the influence of pole/zero locations on achievable time-domain performance.
Cite
@article{arxiv.1103.4198,
title = {Continuous-time performance limitations for overshoot and resulted tracking measures},
author = {rob wenczel and robin hill},
journal= {arXiv preprint arXiv:1103.4198},
year = {2011}
}