Abstract
To deal with the challenges caused by the weakness of wireless communication, this paper presents a distributed H∞ control strategy for platooning of automatic vehicles (AVs) connected by switching and undirected topologies. With the compensation of the powertrain nonlinearities by an inverse model, the node dynamics is described by a linear system with bounded uncertainty. Then the platoon system controlled by a distributed state-feedback controller is decomposed into multiple low order subsystems by applying the eigenvalue decomposition and linear transformation. The open gain of these subsystems dependends on the eigenvalues of the topological matrix. The sufficient condition for the H∞ performance of platoon is proved by using the invariant of signal amplitude of the linear transformation. A numerical way is further provided to solve the distributed controller by using the LMI approach. For this new synthesis method, only the bounds of the topological eigenvalues are necessary. And the designed state-feedback can control the platoon composed of disturbed nodes and interacted by uncertain even switching topologies in a satisfactory way. The effectiveness of this distributed H∞ control strategy is validated by comparative bench tests between nominal and disturbed conditions.
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References
Bernardo, M., Alessandro, S. and Stefania, S. (2015). Distributed consensus strategy for platooning of vehicles in the presence of time-varying heterogeneous communication delay. IEEE Trans. Intelligent Transportation System16, 1, 102–112.
Bernardo, M., Falcone, P., Salvi, A. and Santini, S. (2016). Design analysis and experimental validation of a distributed protocol for platooning in the presence of time-varying heterogeneous delays. IEEE Trans. Control System Technology24, 2, 413–427.
Chan, E., Gilhead, P., Jelinek, P. and Krejci, P. (2012). Cooperative control of SARTRE automated platoon vehicles. Proc. 19th ITS World Cong., Vienna, Austria.
Ghasemi, A., Kazemi, R. and Azadi, S. (2013). Stable decentralized control of a platoon of vehicles with heterogeneous information feedback. IEEE Trans. Vehicular Technology62, 9, 4299–4308.
Gao, F., Dang, D. F., Huang, S. S. and Li, S. E. (2017a). Decoupled robust control of vehicular platoon with identical controller and rigid information flow. Int. J. Automotive Technology18, 1, 157–164.
Gao, F., Dang, D., Li, S. E. and Zhou, M. (2017b). Control of large model mismatch systems using multiple models. Int. J. Control Automation and Systems15, 4, 1494–1506.
Gao, F., Li, S. E., Kum, D. and Zhang, H. (2015). Synthesis of multiple model switching controllers using H-inf theory for systems with large uncertainties. Neurocomputing, 157, 118–124.
Gao, F., Li, S. E., Zheng, Y. and Kum, D. (2016). Robust control of heterogeneous vehicular platoon with uncertain dynamics and communication delay. IET Intelligent Transport Systems10, 7, 503–513.
Kwon, J. and Chwa, D. (2014). Adaptive bidirectional platoon control using a coupled sliding mode control method. IEEE Trans. Intelligent Transportation Systems15, 5, 2040–2048.
Li, R., Zhang, L., Han, L. and Wang, J. (2017). Multiple vehicle formation control based on robust adaptive control algorithm. IEEE Intelligent Transportation Systems Magazine9, 2, 41–51.
Li, S. E., Gao, F., Cao, D. and Li, K. (2016). Multiple model switching control of vehicle longitudinal dynamics for platoon level automation. IEEE Trans. Vehicular Technology65, 6, 4480–4492.
Li, Z., Duan, Z., Xie, L. and Liu, X. (2012). Distributed robust control of linear multi-agent systems with parameter uncertainties. Int. J. Control85, 8, 1039–1050.
Liu, B., Gao, F., He, Y. and Wang, C. (2019). Robust control of heterogeneous vehicular platoon with non-ideal communication. Electronics8, 2, 207–221.
Liang, C. and Peng, H. (1999). Optimal adaptive cruise control with guaranteed string stability. Vehicle System Dynamics, 31, 313–330.
Shaw, E. and Hedrick, J. (2007). String stability analysis for heterogeneous vehicle strings. Proc. American Control Conf., New York, USA.
Shladover, S. E., Desoer, C. A., Hedrick, J. K., Tomizuka, M., Walrand, J., Zhang, W.-B., McMahon, D. H., Peng, H., Sheikholeslam, S. and McKeown, N. (1991). Automated vehicle control developments in the PATH program. IEEE Trans. Vehicular Technology40, 1, 114–130.
Swaroop, D. and Hedrick, J. (1999). Constant spacing strategies for platooning in automated highway systems. J. Dynamic Systems, Measurement, and Control121, 3, 462–470.
Swaroop, D., Hedrick, J. K., Chien, C. C. and Ioannou, P. (1994). A comparison of spacing and headway control laws for automatically controlled vehicles. Vehicle System Dynamics: Int. J. Vehicle Mechanics and Mobility23, 8, 597–625.
Teo, R., Stipanovic, D. and Tomlin, C. (2010). Decentralized spacing control of a string of multiple vehicles over lossy datalinks. IEEE Trans. Control System Technology18, 2, 469–473.
Wang, J., Duan, Z., Wen, G. and Chen, G. (2015). Distributed robust control of uncertain linear multi-agent systems. Int. J. Robust and Nonlinear Control25, 3, 2162–2179.
Wang, L. Y., Syed, A., Yin, G. G., Pandya, A. and Zhang, H. (2014). Control of vehicle platoons for highway safety and efficient utility: Consensus with communications and vehicle dynamics. J. Systems Science and Complexity27, 4, 605–631.
Willke, T. L., Tientrakool, P. and Maxemchuk, N. F. (2009). A survey of inter-vehicle communication protocols and their applications. IEEE Communications Surveys & Tutorials11, 2, 3–20.
Xia, Q., Gao, F., Duan, J. and He, Y. (2017). Decoupled H-infinity control of automated vehicular platoons with complex interaction topologies. IET Intelligent Transport Systems11, 2, 92–101.
Xiao, L. and Cao, F. (2011). Practical string stability of platoon of adaptive cruise control vehicles. IEEE Trans. Intelligent Transportation System12, 4, 1184–1194.
Zhang, J., Wang, F.-Y., Wang, K., Lin, W.-H., Xu, X. and Chen, C. (2011). Data-driven intelligent transportation systems: A survey. IEEE Trans. Intelligent Transportation System12, 4, 1624–1639.
Zheng, Y., Li, S. E., Li, K. and Wang, L.-Y. (2016a). Stability margin improvement of vehicular platoon considering undirected topology and asymmetric Control. IEEE Trans. Control System Technology24, 4, 1253–1265.
Zheng, Y., Li, S. E., Wang, J., Cao, D. and Li, K. (2016b). Stability and scalability of homogeneous vehicular platoon: Study on the influence of information flow topologies. IEEE Trans. Intelligent Transportation Systems17, 1, 14–26.
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This research is supported by National key research and development program under grant 2016YFB0100900, 2016YFB0101104 and 2017YFB0102504.
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Gao, F., Lin, Fx. & Liu, B. Distributed H∞ Control Of Platoon Interacted by Switching and Undirected Topology. Int.J Automot. Technol. 21, 259–268 (2020). https://doi.org/10.1007/s12239-020-0025-8
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DOI: https://doi.org/10.1007/s12239-020-0025-8