Fast Modelling and Identification of Hydraulic Brake Plants for Automotive Applications
Keywords:Identification, Modelling, Brake Plants, Piecewise Transfer Function, Linear Systems with Scheduled Poles
Diffusion of electric and hybrid vehicles is accelerating the development of innovative braking technologies. Calibration of accurate models of a hydraulic brake plant involves availability of large amount of data whose acquisition is expensive and time consuming. Also, for some applications, such as vehicle simulators and hardware in the loop test rig, a real-time implementation is required. To avoid excessive computational loads, usage of simplified parametric models is almost mandatory. In this work, authors propose a simplified functional approach to identify and simulate the response of a generic hydraulic plant with a limited number of experimental tests. To reproduce complex nonlinear behaviours that are difficult to be reproduced with simplified models, piecewise transfer functions with scheduled poles are proposed. This innovative solution has been successfully applied for the identification of the brake plant of an existing vehicle, a Siemens prototype of instrumented vehicle called SimRod, demonstrating the feasibility of proposed method.
Gerdes JC, Hedrick JK. Brake System Modeling for Simulation and Control. Journal of Dynamic Systems, Measurement, and Control 1999; 121: 496–503.
Delaigue P, Eskandarian A. A comprehensive vehicle braking model for predictions of stopping distances. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 2004; 218: 1409–1417.
Savitski D, Ivanov V, Augsburg K, et al. The new paradigm of an anti-lock braking system for a full electric vehicle:experimental investigation and benchmarking. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 2016; 230: 1364–1377.
Ming L. Kuang. Hydraulic brake system modeling and control for active control of vehicle dynamics. In: Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251). San Diego, CA, USA: IEEE, pp. 4538–4542 vol. 6.
Anselma PG, Patil SP, Belingardi G. Rapid Optimal Design of a Light Vehicle Hydraulic Brake System. pp. 2019-01–0831.
Bauer F, Fleischhacker J. Hardware-in-the-Loop Simulation of Electro-Pneumatic Brake Systems. pp. 2015-01–2745.
Li L, Li X, Wang X, et al. Transient switching control strategy from regenerative braking to anti-lock braking with a semibrake-by-wire system. Vehicle System Dynamics 2016; 54: 231–257.
Zhang J-Z, Chen X, Zhang P-J. Integrated control of braking energy regeneration and pneumatic anti-lock braking. 224: 24.
Miller JM. Electric Powertrain: Energy Systems, Power Electronics and Drives for Hybrid, Electric and Fuel Cell Vehicles [Book Review]. IEEE Power Electron Mag 2018; 5: 86–87.
Enang W, Bannister C. Modelling and control of hybrid electric vehicles (A comprehensive review). Renewable and Sustainable Energy Reviews 2017; 74: 1210–1239.
Fagnant DJ. Preparing a nation for autonomous vehicles: opportunities, barriers and policy recommendations. 2015; 15.
Gonzalez D, Pérez J, Milanés V, et al. A Review of Motion Planning Techniques for Automated Vehicles. IEEE Transactions on Intelligent Transportation Systems 2016; 17: 11.
Amer NH. Modelling and Control Strategies in Path Tracking Control for Autonomous Ground Vehicles: A Review of State of the Art and Challenges. J Intell Robot Syst 2017; 30.
Berzi L, Favilli T, Locorotondo E, et al. Real Time Models of Automotive Mechatronics Systems: Verifications on “Toy Models”. In: Carbone G, Gasparetto A (eds) Advances in Italian Mechanism Science. Cham: Springer International Publishing,pp. 141–148.
Pugi L, Favilli T, Berzi L, et al. Brake Blending and Optimal Torque Allocation Strategies for Innovative Electric Powertrains. In: Saponara S, De Gloria A (eds) Applications in Electronics Pervading Industry, Environment and Society. Cham: Springer International Publishing, pp. 477–483.
Pugi L, Favilli T, Berzi L, et al. Application of Regenerative Braking on Electric Vehicles. In: 2019 IEEE International Conference on Environment and Electrical Engineering and 2019 IEEE Industrial and Commercial Power Systems Europe (EEEIC/ICPS Europe). Genova, Italy: IEEE, pp. 1–6.
Zhao X, Li L, Wang X, et al. Braking force decoupling control without pressure sensor for a novel series regenerative brake system. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 2019; 233: 1750–1766.
Han W, Xiong L, Yu Z. A novel pressure control strategy of an electro-hydraulic brake system via fusion of control signals. 16.
Ma, L.-X., Yu, L.-Y., Wang, Z.-Z., Song, J. A new type of automotive braking actuator for decentralized electro-hydraulic braking system(2014) Journal of Harbin Institute of Technology (New Series), 21 (1), pp. 1–6.
Zhang J, Lv C, Gou J, et al. Cooperative control of regenerative braking and hydraulic braking of an electrified passenger car. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 2012; 226: 1289–1302.
Aly, A. A., Zeidan, E. S., Hamed, A., Salem, F. (2011). An antilock-braking systems (ABS) control: A technical review. Intelligent Control and Automation, 2(03), 186.
Pugi L, Rindi A, Ercole AG, et al. Preliminary studies concerning the application of different braking arrangements on Italian freight trains. 28.
Pugi L, Malvezzi M, Papini S, et al. Simulation of braking performance: The AnsaldoBreda EMU V250 application.Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 2015; 229: 160–172.
Wang X, Zheng G. Two-step transfer function calculation method and asymmetrical piecewise-linear vibration isolator under gravity. Journal of Vibration and Control 2016; 22: 2973–2991.
Rewienski M, White J. A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices. IEEE Trans Comput-Aided Des Integr Circuits Syst 2003; 22: 155–170.
Pugi L, Galardi E, Carcasci C, et al. Preliminary design and validation of a Real Time model for hardware in the loop testing of bypass valve actuation system. Energy Conversion and Management 2015; 92: 366–384.
Yu L, Liu X, Xie Z, et al. Review of Brake-by-Wire System Used in Modern Passenger Car. In: Volume 3: 18th International Conference on Advanced Vehicle Technologies; 13th International Conference on Design Education; 9th Frontiers in Biomedical Devices. Charlotte, North Carolina, USA: American Society of Mechanical Engineers, p. V003T01A020.
Karnopp D, Margolis DL, Rosenberg RC. System dynamics: modelling and simulation of mechatronic systems. 5th ed. Hoboken, NJ: Wiley, 2012.
Genta G and Morello L (2007) L’ autotelaio 1 and 2. Torino: Libreria universitaria levrotto and bella.
W. J. Thayer Transfer Introduction Functions for Moog Servovalves. Moog technical bulletin 103 of Moog Inc. available on line at urlhttp://www.moogvalves.com/
Merrit, H. E. “Hydraulic Control Systems, Jonh Wiley & Sons Inc.” New York ISBN 471596175 (1967).
Yoshida, F., & Miyakawa, S. (2011). Effect of parameters on frequency characteristics of proportional control valve using tap water. In Proceedings of the 8th JFPS International Symposium on Fluid Power, Okinawa, Japan.
Day TD, Roberts SG. A Simulation Model for Vehicle Braking Systems Fitted with ABS. pp. 2002-01–0559.
van Zanten AT. Bosch ESP Systems: 5 Years of Experience. SAE International. Epub ahead of print 2000. DOI: 10.4271/2000-01-1633.
Kant B. Sensotronic brake control (SBC). In: Reif K (ed) Automotive Mechatronics. Wiesbaden: Springer Fachmedien Wiesbaden, pp. 412–415.
Klode H, Omekanda AM, Lequesne B, et al. The Potential of Switched Reluctance Motor Technology for Electro-Mechanical Brake Applications. pp. 2006-01–0296.
Pulcinelli A, Pugi L, Vinattieri F, et al. Design and testing of an innovative electro-hydraulic actuator for a semi-active differential. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 2017; 232: 1438–1453.
D’Hondt, T., Forrier, B., Sarrazin, M., Favilli, T., Pugi, L., Berzi, L., Viviani, R., Pierini, M. Modeling and Identification of an Electric Vehicle Braking System: Thermal and Tribology Phenomena Assessment (2020) SAE Technical Papers, 2020-April (April), DOI: 10.4271/2020-01-109
L. Pugi, A. Reatti, F. Corti and F. Grasso, “A Simplified Virtual Driver for Energy Optimization of Railway Vehicles,” 2020 IEEE International Conference on Environment and Electrical Engineering and 2020 IEEE Industrial and Commercial Power Systems Europe (EEEIC/I&CPS Europe), Madrid, Spain, 2020, pp. 1–6, doi: 10.1109/EEEIC/ICPSEurope49358.2020.9160715