Time sub-optimal nonlinear PI and PID controllers applied to longitudinal headway car control

International Journal of Control

Volumn 84, Issue 10, 2011, Pages 1717-1728

  Hua, Minh Duc ^a   Samson, Claude ^b  

^a UNIVERSITY OF NICE SOPHIA ANTIPOLIS   (France)

^b INRIA   (France)

Author keywords

Anti windup; Conditional integrator; Longitudinal headway car control; Nested saturation; Nonlinear PI PID; Time (sub) optimal control

Indexed keywords

ANTI-WINDUP; CONDITIONAL INTEGRATORS; NESTED SATURATIONS; NONLINEAR PI/PID; OPTIMAL CONTROLS;

ASYMPTOTIC STABILITY; CONTROLLERS; LINEAR CONTROL SYSTEMS; OPTIMIZATION; PROPORTIONAL CONTROL SYSTEMS; THREE TERM CONTROL SYSTEMS; TWO TERM CONTROL SYSTEMS;

LONGITUDINAL CONTROL;

EID: 84855773651     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179.2011.623721     Document Type: Article

References (22)

1. Aström, K.J., and Hä gglund, T. (1995), PID Controllers: Theory, Design and Tuning, Research Triangle Park, NC: Instrument Society of America.
2. Aström, K.J., and Rundqwist, L. (1989), 'Integrator Windup and How to Avoid It', in American Control Conference (ACC), Pittsburgh, pp. 1693-1698.
3. Athans, M., and Falb, P. (1966), Optimal Control, McGraw-Hill Book Company, Prentice Hall.
4. Hatipoǧlu, C., özgü ner, U., and Sommerville, M. (1996), 'Longitudinal Headway Control of Autonomous Vehicles', in IEEE International Conference on Control Applications, Dearborn, pp. 721-726.
5. Hippe, P. (2006), Windup in Control: Its Effects and Their Prevention, Berlin: Springer Verlag.
6. Hodel, A.S., and Hall, C.E. (2001), 'Variable-structure PID Control to Prevent Integrator Windup', IEEE Transactions on Industrial Electronics, 48, 442-451. (Pubitemid 32416271)
7. Hua, M.D., and Samson, C. (2011), 'Time Sub-optimal Nonlinear PI and PID Controllers Applied to Longitudinal Headway Car Control', in 18th IFAC World Congress 2011, Milano, pp. 7547-7552.
8. Khalil, H.K. (2002), Nonlinear Systems (3rd ed.), Englewood Cliffs, NJ: Pearson Education.
9. Kirk, D. (1970), Optimal Control Theory, Englewood Cliffs, NJ: Prentice Hall.
10. Koivo, H., and Tanttu, J. (1991), 'Tuning of PID Controllers: Survey of SISO and MIMO Techniques', in Proceedings IFAC Intelligent Tuning and Adaptive Control Symposium, pp. 75-80.
11. Kothare, M.V., Campo, P.J., Morari, M., and Nett, C.N. (1994), 'A Unified Framework for the Study of Anti-windup Designs', Automatica, 30, 1869-1883. (Pubitemid 124008076)
12. Marconi, L., and Isidori, A. (2000), 'Robust Global Stabilisation of a Class of Uncertain Feedforward Nonlinear Systems', Systems and Control Letters, 41, 281-290.
13. Martinez, J.J., and de Wit, C.C. (2007), 'A Safe Longitudinal Control for Adaptive Cruise Control and Stop-and-go Scenarios', IEEE Transactions on Control Systems Technology, 15, 246-258.
14. Newman, W. (1990), 'Robust Near Time-optimal Control', IEEE Transactions on Automatic Control, 35, 841-844. (Pubitemid 20726193)
15. O'Dwyer, A. (2009), Handbook of PI and PID Controller Tuning Rules (3rd ed.), London: World Scientific Publishing, Imperial College Press.
16. Pao, L., and Franklin, G. (1993), 'Proximate Time-optimal Control of Third-order Servomechanisms', IEEE Transactions on Automatic Control, 38, 560-580.
17. Peng, Y., Vrancic, D., and Hanus, R. (1996), 'Anti-windup, Bumpless, and Conditioned Transfer Techniques for PID Controllers', IEEE Control Systems Magazine, 16, 48-57. (Pubitemid 126580871)
18. Seshagiri, S., and Khalil, H. (2005), 'Robust Output Feedback Regulation of Minimum-phase Nonlinear Systems using Conditional Integrators', Automatica, 41, 43-54.
19. Teel, A. (1992), 'Global Stabilisation and Restricted Tracking for Multiple Integrators with Bounded Controls', Systems and Control Letters, 18, 165-171.
20. Wang, Y., and Ma, R.N. (2010), 'Global Stabilisation of Feedforward Nonlinear System Based on Nested Saturated Control', Acta Automatica Sinica, 36, 528-533.
21. Workman, M., Kosut, R., and Franklin, G. (1987), 'Adaptive Proximate Time-optimal Servomechanisms: Continuous Time Case', in 6th American Control Conference (ACC), Minneapolis, pp. 589-594. (Pubitemid 18523226)
22. Zhang, Y., Kosmatopoulos, B., Ioannou, P., and Chien, C. (1999), 'Autonomous Intelligent Cruise Control using Front and Back Information for Tight Vehicle Following Maneuvers', IEEE Transactions on Vehicular Technology, 48, 319-328.