Continuous-time performance limitations for overshoot and resulted tracking measures

Details Continuous-time performance limitations for overshoot and resulted tracking measures Continuous-time performance limitations for overshoot and resulted tracking measures

2011-03-22

arxiv.org/abs/1103.4198v1

Mathematics

Optimization and Control

Scientific paper

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.

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