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

Date

2018-01-01

Author

Saglam, Harun Bugra
Schmidt, Klaus Verner

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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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.

Subject Keywords

Vehicle following, Time-limited inputs, Linear systems

URI

https://hdl.handle.net/11511/42164

Journal

TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES

DOI

https://doi.org/10.3906/elk-1610-209

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

H. B. Saglam and K. V. Schmidt, “Outputs bounds for linear systems with repeated input signals: existence, computation and application to vehicle platooning,” TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES, pp. 283–295, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42164.