Outputs bounds for linear systems with repeated input signals: existence,computation and application to vehicle platooning

Authors

HARUN BUĞRA SAĞLAM
KLAUS WERNER SCHMİDT

DOI

10.3906/elk-1610-209

Abstract

This paper investigates the effect of repeated time-limited input signals on the output excursion of stable, linear time-invariant systems. It is first shown that the maximum norm of the output signal remains bounded if the repeated input signals are separated by a nonzero dwell time. Then a novel method for computing a tight bound on the output signal norm is proposed. The setting of the paper is motivated by a vehicle platooning application, where vehicles repeatedly open/close gaps in order to perform lane changes. The developed method analyzes driving safety by computing a bound on the spacing error between vehicles when performing repeated open/close gap maneuvers.

Keywords

Linear systems, time-limited inputs, vehicle following

First Page

283

Last Page

293

Recommended Citation

SAĞLAM, HARUN BUĞRA and SCHMİDT, KLAUS WERNER (2018) "Outputs bounds for linear systems with repeated input signals: existence,computation and application to vehicle platooning," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 26: No. 1, Article 25. https://doi.org/10.3906/elk-1610-209
Available at: https://journals.tubitak.gov.tr/elektrik/vol26/iss1/25