Abstract
Chapter 5 focuses on the high level nonlinear control methods for cars (ground vehicles). The main tasks are path design, control algorithm development and control realization. These steps are demonstrated in the frame of the development of a collision avoidance system (CAS). From the large set of path design methods, the principle of elastic band is chosen. The car can be modeled by full (non-affine) or simplified (input affine) nonlinear models. Two nonlinear control methods are presented, the differential geometric approach (DGA), known as input-output linearization, and the nonlinear predictive control. For state estimation, Kalman filters and measurements of two antenna GPS and Inertial Measurement Unit (IMU) are used. The methods are illustrated through simulation results. Two software approaches are presented for the realization of the control algorithms. The first uses the MATLAB Compiler converting the whole control system to standalone program running under Windows or Linux. The second uses MATLAB/Simulink and Real-Time Workshop (RTW) to convert the control system for target processors.
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References
Borner, M., Andreani, I., Albertos, P., Isermann, R.: Detection of lateral vehicle driving conditions based on the characteristic velocity. In: Proceedings of the IFAC World Congress, Conference CD, Barcelona, Spain, pp. 1–6 (2002)
Brandt, T., Sattel, T.: Path planning for automotive collision avoidance based on elastic bands. In: Proceedings of the 16th IFAC World Congress, Prague, Czech Republic, pp. 1–6, (2005). Paper TU–M16–TO/4 02,746.pdf
Camacho, E.F., Bordons, C.: Model Predictive Control, 2nd edn. Springer, London (2004)
Freund, E., Mayr, R.: Nonlinear path control in automated vehicle guidance. IEEE Trans. Robot. Automat. 13(1), 49–60 (1997)
Isidori, A.: Nonlinear Control Systems I, 3rd edn. Springer, Berlin (1995)
Kogan, D., Murray, R.: Optimization-based navigation for DARPA Grand Challenge. In: IEEE Conference on Decision and Control, San Diego, USA, pp. 1–6 (2006)
Lantos, B.: Theory and Design of Control Systems II. Akademiai Kiado, Budapest (2003) (In Hungarian)
Lantos, B.: Path design and receding horizon control for collision avoidance system of cars. WSEAS Trans. Syst. Control 1(2), 105–112 (2006)
Maciejowski, J.M.: Predictive Control with Constraints. Prentice Hall, London (2002)
Quinlan, S., Khatib, O.: Elastic bands: Connecting path planning and control. In: Proceedings of the IEEE International Conference Robotics and Automation, vol. 2, Atlanta, USA, pp. 802–807 (1993)
Ryu, J., Gerdes, J.G.: Integrating inertial sensors with global positioning system (GPS) for vehicle dynamic control. J. Dyn. Syst. Meas. Control 126(2), 242–254 (2004)
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© 2011 Springer-Verlag London Limited
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Lantos, B., Márton, L. (2011). Nonlinear Control of Cars. In: Nonlinear Control of Vehicles and Robots. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-84996-122-6_5
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DOI: https://doi.org/10.1007/978-1-84996-122-6_5
Publisher Name: Springer, London
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