Third-order consensus in vehicles platoon with heterogeneous time-varying delays

Abstract We theoretically address the problem of achieving third-order consensus for a platoon of vehicles in the presence of heterogenous time-varying communication delays. A Lyapunov-Krasovkii function is constructed for the stability analysis. Necessary and sufficient conditions are derived to guarantee that all vehicles asymptotically reach the relative acceleration, speed and position according to the spacing policy. Numerical simulations are provided to demonstrate the effectiveness of the theoretical results in different driving conditions and in the presence of external disturbances.

[1]  E. Frank.  On the zeros of polynomials with complex coefficients , 1946 .

[2]  Nathan van de Wouw,et al.  Cooperative Adaptive Cruise Control: Network-Aware Analysis of String Stability , 2014, IEEE Transactions on Intelligent Transportation Systems.

[3]  Nathan van de Wouw,et al.  String stability of interconnected vehicles under communication constraints , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[4]  Mario di Bernardo,et al.  Distributed Consensus Strategy for Platooning of Vehicles in the Presence of Time-Varying Heterogeneous Communication Delays , 2015, IEEE Transactions on Intelligent Transportation Systems.

[5]  Gábor Orosz,et al.  Dynamics of connected vehicle systems with delayed acceleration feedback , 2014 .

[6]  F. Lewis,et al.  Leader‐following control for multiple inertial agents , 2011 .

[7]  Daizhan Cheng,et al.  Leader-following consensus of second-order agents with multiple time-varying delays , 2010, Autom..

[8]  Guangming Xie,et al.  Consensus of high-order dynamic multi-agent systems with switching topology and time-varying delays , 2010 .

[9]  Antonio Saverio Valente.  Cooperative Driving in Inter-Vehicular Communication Network , 2015 .

[10]  Emilia Fridman,et al.  Exponential stability of linear distributed parameter systems with time-varying delays , 2009, Autom..

[11]  Mario di Bernardo,et al.  Design, Analysis, and Experimental Validation of a Distributed Protocol for Platooning in the Presence of Time-Varying Heterogeneous Delays , 2016, IEEE Transactions on Control Systems Technology.

[12]  Yan Cui,et al.  L2 − L∞ Consensus Control for High‐Order Multi‐Agent Systems with Nonuniform Time‐Varying Delays , 2014 .

[13]  J. Hadamard,et al.  Etude sur les propriétés des fonctions entières et en particulier d'une fonction considérée par Riemann , 1893 .

[14]  Weihua Zhuang,et al.  Mobility impact in IEEE 802.11p infrastructureless vehicular networks , 2012, Ad Hoc Networks.