Event-Based Vehicle Coordination Using Nonlinear Unidirectional Controllers

This paper presents a framework to control vehicle platoons with event-based communication and nonlinear controllers. The overall goal is to achieve a platoon that moves in a desired formation with a desired velocity and the convergence to this formation should be exponential while Zeno behavior has to be excluded. The set of admissible controllers for this problem is specified by the properties that they need to guarantee. These properties will be of a form such that they can be checked locally by every vehicle itself and heterogeneous controllers as well as heterogeneous possibly nonlinear dynamics of the vehicles in the platoon are allowed. The framework is shown to work with several communication networks and the set of networks will be characterized. Modifications that are necessary to cope with additive disturbances are described and a simulation example that shows the benefits of being able to use the framework in different networks is given.

[1]  Fabian R. Wirth,et al.  An ISS small gain theorem for general networks , 2007, Math. Control. Signals Syst..

[2]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[3]  Xiaofeng Wang,et al.  Event-Triggering in Distributed Networked Control Systems , 2011, IEEE Transactions on Automatic Control.

[4]  Peter Seiler,et al.  Disturbance propagation in vehicle strings , 2004, IEEE Transactions on Automatic Control.

[5]  Prabir Barooah,et al.  Stability and robustness of large platoons of vehicles with double‐integrator models and nearest neighbor interaction , 2013 .

[6]  Fabian R. Wirth,et al.  Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes , 1998, math/9812137.

[7]  Karl-Erik Årzén,et al.  A simple event-based PID controller , 1999 .

[8]  Karl Henrik Johansson,et al.  Event-based broadcasting for multi-agent average consensus , 2013, Autom..

[9]  Le Yi Wang,et al.  Coordinated vehicle platoon control: Weighted and constrained consensus and communication network topologies , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[10]  Dimos V. Dimarogonas,et al.  Nonlinear Event-Triggered Platooning Control with Exponential Convergence∗ , 2015 .

[11]  Magnus Egerstedt,et al.  Graph Theoretic Methods in Multiagent Networks , 2010, Princeton Series in Applied Mathematics.

[12]  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).

[13]  M. Egerstedt,et al.  On the regularization of Zeno hybrid automata , 1999 .

[14]  J. Hedrick,et al.  String stability of interconnected systems , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[15]  Zhong-Ping Jiang,et al.  Small-gain theorem for ISS systems and applications , 1994, Math. Control. Signals Syst..

[16]  Dimos V. Dimarogonas,et al.  Event-triggered control for vehicle platooning , 2015, 2015 American Control Conference (ACC).

[17]  Karl Henrik Johansson,et al.  Event-Triggered Pinning Control of Switching Networks , 2015, IEEE Transactions on Control of Network Systems.

[18]  Karl Henrik Johansson,et al.  Distributed Event-Triggered Control for Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[19]  Eduardo Sontag Smooth stabilization implies coprime factorization , 1989, IEEE Transactions on Automatic Control.