Reduction-Based Robustness Analysis of Linear Predictor Feedback for Distributed Input Delays
Optimization and Control
2016-01-28 v1 Systems and Control
Abstract
Lyapunov-Krasovskii approach is applied to parameter- and delay-robustness analysis of the feedback suggested by Manitius and Olbrot for a linear time-invariant system with distributed input delay. A functional is designed based on Artstein's system reduction technique. It depends on the norms of the reduction-transformed plant state and original actuator state. The functional is used to prove that the feedback is stabilizing when there is a slight mismatch in the system matrices and delay values between the plant and controller.
Cite
@article{arxiv.1505.02402,
title = {Reduction-Based Robustness Analysis of Linear Predictor Feedback for Distributed Input Delays},
author = {Anton Ponomarev},
journal= {arXiv preprint arXiv:1505.02402},
year = {2016}
}