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Article

Decentralized Tracking Control for Heterogeneous Vehicular Network with Expanding Construction

1
College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, China
2
Shandong Key Laboratory of Industrial Control Technology, Institute of Complexity Science, School of Automation, Qingdao University, Qingdao 266071, China
*
Authors to whom correspondence should be addressed.
Mathematics 2025, 13(21), 3383; https://doi.org/10.3390/math13213383
Submission received: 17 September 2025 / Revised: 15 October 2025 / Accepted: 20 October 2025 / Published: 23 October 2025

Abstract

A decentralized control problem for vehicular platoon systems with heterogeneous dynamic behaviors is investigated in this paper. To simplify the controller design, a longitudinal model is established as an interconnected form. On this basis, a series of decentralized state feedback controllers are designed to ensure the individual stability, string stability and connective stability of the vehicular platoon system. Then, a new scenario in which additional vehicles are added to the platoon is also considered by developing an expanding construction system (ECS) based on the proposed longitudinal model. As a result, a corresponding controller can be designed as a new one of the decentralized controllers without changing the original control laws of the interconnected system. The stability conditions are presented with rigorous analysis by virtue of linear matrix inequality (LMI) for the interconnected system and the ECS. Simulation results are carried out to demonstrate the effectiveness of the proposed decentralized tracking controllers.
Keywords: vehicular platoon systems; decentralized tracking control; expanding construction; LMI vehicular platoon systems; decentralized tracking control; expanding construction; LMI

Share and Cite

MDPI and ACS Style

Wang, J.-K.; Chu, J.; Liu, Y.; Wang, L. Decentralized Tracking Control for Heterogeneous Vehicular Network with Expanding Construction. Mathematics 2025, 13, 3383. https://doi.org/10.3390/math13213383

AMA Style

Wang J-K, Chu J, Liu Y, Wang L. Decentralized Tracking Control for Heterogeneous Vehicular Network with Expanding Construction. Mathematics. 2025; 13(21):3383. https://doi.org/10.3390/math13213383

Chicago/Turabian Style

Wang, Jia-Ke, Jingjing Chu, Yang Liu, and Lijie Wang. 2025. "Decentralized Tracking Control for Heterogeneous Vehicular Network with Expanding Construction" Mathematics 13, no. 21: 3383. https://doi.org/10.3390/math13213383

APA Style

Wang, J.-K., Chu, J., Liu, Y., & Wang, L. (2025). Decentralized Tracking Control for Heterogeneous Vehicular Network with Expanding Construction. Mathematics, 13(21), 3383. https://doi.org/10.3390/math13213383

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