Journal
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL
Volume 128, Issue -, Pages 69-86Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.trb.2019.07.001
Keywords
Connected automated vehicles; Longitudinal control; Distributed model predictive control; Local stability; l(infinity)-norm string stability; l(2)-norm string stability
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Funding
- National Science Foundation-United States [CMMI 1536599]
- Transport Institute, Delft University of Technology, the Netherlands
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In this paper, a serial distributed model predictive control (MPC) approach for connected automated vehicles (CAVS) is developed with local stability (disturbance dissipation over time) and multi-criteria string stability (disturbance attenuation through a vehicular string). Two string stability criteria are considered within the proposed MPC: (i) the l(infinity)-norm string stability criterion for attenuation of the maximum disturbance magnitude and (ii) l(2)-norm string stability criterion for attenuation of disturbance energy. The l(infinity)-norm string stability is achieved by formulating constraints within the MPC based on the future states of the leading CAV, and the l(2)-norm string stability is achieved by proper weight matrix tuning over a robust positive invariant set. For rigor, mathematical proofs for asymptotical local stability and multi-criteria string stability are provided. Simulation experiments verify that the distributed serial MPC proposed in this study is effective for disturbance attenuation and performs better than traditional MPC without stability guarantee. Published by Elsevier Ltd.
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