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Parametric study and sensitivity analysis of automated vehicles

Published online by Cambridge University Press:  09 March 2009

Summary

This paper presents a parametric study of automated vehicles using the sensitivity theory. A sixth order dynamic model of an axisymmetric vehicle is developed in the state space format to represent its 3 degrees-of-freedom motion in the lateral, yaw and roll modes. Variations of the important parameters of the vehicle are grouped into three separate vectors: with the elements consisting of inertia, stiffness and damping, and geometric-kinematic parameters respectively. The effect of every element of these vectors on the state variables is studied carefully, a comparison being made among the state variables to reveal the relative influence of the parameter-induced variations. This helps better understanding which mode of the system is more affected by changes in particular parameters and the severity in the transient response and in the steady-state response. Then the effects of a particular vector on the performance of the system is studied.

Type
Articles
Copyright
Copyright © Cambridge University Press 1995

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References

1.Cruz, J.B. and Perkins, W.R., “A New Approach to the Sensitivity Problem in Multivariate Feedback System DesignIEEE Trans. Aut. Contr. 9, 216223 (1964).CrossRefGoogle Scholar
2.Kokotovic, P.V., Heller, J. and Sannuti, P., “Sensitivity Comparison of Optimal ControlsInt. J. Cont. 9, 111117 (1969).CrossRefGoogle Scholar
3.Kreindler, E., “Closed-Loop Sensitivity Reduction of Linear Optimal Control SystemsIEEE Trans. Aut. Com. 13, 234262 (1968).Google Scholar
4.Holtzman, J. M. and Horing, S., “The Sensitivity of Terminal Conditions of Optimal Control Systems to Parameter VariationsIEEE Tran. Auto. Cont. 10, 420426 (1965).CrossRefGoogle Scholar
5.Frank, P.M., Introduction to System Sensitivity Theory (Academic Press, New York, 1978).Google Scholar
6.Cruz, J.B., System Sensitivity Analysis (Dowden Hutchinson and Ross, Stroudsburg, Pennsylvania, 1973).Google Scholar
7.Radanovic, L., Sensitivity Methods in Control Theory (Pergamon Press Ltd., London, UK, 1966).Google Scholar
8.Daniel, A.R., Lee, Y.B. and Pal, M.K., “Nonlinear Power System Optimization Using Dynamic Sensitivity AnalysisProc. of lEE 4, 365370 (1976).Google Scholar
9.Dorato, P., “On Sensitivity in Optimal Control SystemsIEEE Trans. Aut. Contr. 8, 256257 (1963).CrossRefGoogle Scholar
10.Farahat, S., “Appliction of Sensitivity Analysis to Parameter Changes in Nonlinear Control Systems” M.Sc Thesis (Dept. of Mech. Eng., Concordia University, July, 1987).Google Scholar
11.Nalecz, A.G., “Application of Sensitivity Methods to Analysis and Synthesis of Vehicle Dynamic SystemsVehicle System Dynamics 18,144 (1989).Google Scholar
12.Vilenius, M.J., “The Application of Sensitivity Analysis to Electrohydraulic Position Control ServosASME J. Dyn. Syst. Meas. and Cont. 105, 7782 (1983).CrossRefGoogle Scholar
13.El-Gindy, M. and Mikulcik, E.C., “Sensitivity of a Vehicle's Yaw Rate Response: Application to a three-axle truckInt. J. of Vehicle Design 4, 325352 (1993).Google Scholar
14.Mehrabi, M.G., “Path Tracking Control of Automated Vehicles: Theory and Experiment” Ph.D. Thesis (Dept. of Mech. Eng., Concordia University, Montreal, Canada, Nov., 1994).Google Scholar
15.Hemami, A., Mehrabi, M.G. and Cheng, R.M.H., “Synthesis of an Optimal Control Law for Path Tracking in Mobile Robots and Automated Guided VehiclesAutomatica 28, 383387 (1992).CrossRefGoogle Scholar
16.Mehrabi, M.G., Cheng, R.M.H. and Hemami, A., “Dynamic Modelling and Control of Wheeled Mobile Robots: Theory and Experiments” The 2nd IEEE Conf. on Control Applications, Vancouver, B.C. (1993) pp. 659665.Google Scholar
17.Rajagopalan, R., “Guidance Control for Automated Guided Vehicles Employing Binary Camera Vision” Ph.D. Thesis (Concordia University, Montreal, Canada, September, 1991).Google Scholar
18.Mehrabi, M.G. and Cheng, R.M.H., “Sensitivity Study of Wheeled Mobile Robots and Automated Transit Vehicles” Int. Conf. on Engineering Applications of Mechanics, Tehran (1992) pp. 298305.Google Scholar
19.Gillespie, T.D., Fundamentals of Vehicle Dynamics (Society of Automotive Engineers, Inc., PA, U.S.A., 1993).Google Scholar
20.Wong, J.Y., Theory of Ground Vehicles (John Wiley & Son, New York, 1978).Google Scholar
21.Cheng, R.M.H. and Mehrabi, M.G., “Dynamic Modelling of Wheeled Mobile Robots and Automated Transit Vehicles Using Dimensionless ‘Roll Number’“ The 1st IEEE Conf. on Control Applications, Dayton, Ohio (1992) pp. 160167.Google Scholar
22.Huang, M., “Dynamic Modelling and Simulation of an AGV (CONCIC II)” M.Sc. Thesis (Concordia University, Montreal, Canada, March, 1991).Google Scholar
23.Shaladover, S.E., Wormley, D.N., Richardson, H.H. and Fish, R., “Steering Controller Design for Automated Guide-way Transit VehiclesASME J. Dyn. Sys. Measurement and Control 100, 18 (1978).CrossRefGoogle Scholar
24.Cormier, W.H. and Fenton, R.E., “On the Steering of Automated Vehicles-A Velocity Adaptive ControllerIEEE Trans, on Vehicular Tech. 29, 375385 (1980).CrossRefGoogle Scholar
25.El-Gindy, M. and Ilosrai, L., “Computer Simulation Study on Vehicle's Directional Response in Some Sewer Manoeuvres. Part 1: Rapid Lane Change ManoeuvresInt. J. of Veh. Design 4, 386401 (1983).Google Scholar
26.Whitehead, J.C., “Rear Wheel Steering Dynamics Compared to Front SteeringASME J. of Dyn. Sys. Measurement and Control 112, 8893 (1990).CrossRefGoogle Scholar
27.Whitehead, J.C., “A Prototype Steering Weave Stabilizer for AutomobilesASME J. of Dyn. Sys. Measurement and Control 113, 138142 (1991).CrossRefGoogle Scholar