Robust cooperation of connected vehicle systems with eigenvalue-bounded interaction topologies in the presence of uncertain dynamics

Abstract

This study presents a distributed H-infinity control method for uncertain platoons with dimensionally and structurally unknown interaction topologies provided that the associated topological eigenvalues are bounded by a predesigned range. With an inverse model to compensate for nonlinear powertrain dynamics, vehicles in a platoon are modeled by third-order uncertain systems with bounded disturbances. On the basis of the eigenvalue decomposition of topological matrices, we convert the platoon system to a norm-bounded uncertain part and a diagonally structured certain part by applying linear transformation. We then use a common Lyapunov method to design a distributed H-infinity controller. Numerically, two linear matrix inequalities corresponding to the minimum and maximum eigenvalues should be solved. The resulting controller can tolerate interaction topologies with eigenvalues located in a certain range. The proposed method can also ensure robustness performance and disturbance attenuation ability for the closed-loop platoon system. Hardware-in-the-loop tests are performed to validate the effectiveness of our method.

Keywords

automated vehicles / platoon / distributed control / robustness

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Acknowledgements

This study was supported by the NSF China (Grant Nos. 51575293 and 51622504), National Key R&D Program of China (Grant No. 2016YFB0100906), International Sci&Tech Cooperation Program of China (Grant No. 2016YFE0102200), and the Open Fund of State Key Lab of Automotive Safety and Energy (Grant No. KF16192). Special gratitude is extended to Prof. R. Rajamani of the University of Minnesota and Prof. G. Orosz of the University of Michigan for their invaluable comments and suggestions.

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