Optimal control for linear systems with time delay in control input

Journal of the Franklin Institute

Volumn 341, Issue 3, 2004, Pages 267-278

  Basin, Michael ^a   Rodriguez Gonzalez, Jesus ^a   Martinez Zuniga, Rodolfo ^b  

^a UNIVERSIDAD AUTÓNOMA DE NUEVO LEÓN   (Mexico)

^b UNIVERSIDAD AUTÓNOMA DE COAHUILA   (Mexico)

Author keywords

Filtering; Linear time delay system; Optimal control

Indexed keywords

COMPUTER SIMULATION; DYNAMIC PROGRAMMING; FUNCTIONS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; VECTORS;

LINEAR TIME-DELAY SYSTEMS; OPTIMAL REGULATORS;

LINEAR CONTROL SYSTEMS;

EID: 1842450249     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2003.12.004     Document Type: Article

References (30)

1. Kwakernaak H., Sivan R. Linear Optimal Control Systems. 1972;Wiley-Interscience, New York.
2. Fleming W.H., Rishel R.W. Deterministic and Stochastic Optimal Control. 1975;Springer, New York.
3. Kolmanovskii V.B., Shaikhet L.E. Control of Systems with Aftereffect. 1996;American Mathematical Society, Providence, RI.
4. Kolmanovskii V.B., Myshkis A.D. Introduction to the Theory and Applications of Functional Differential Equations. 1999;Kluwer, New York.
5. Malek-Zavarei M., Jamshidi M. Time-Delay Systems: Analysis, Optimization and Applications. 1987;North-Holland, Amsterdam.
6. Dion J.M. Linear Time Delay Systems. 2001;Pergamon, London.
7. Boukas E.-K., Liu Z.K. Deterministic and Stochastic Time-Delay Systems. 2002;Birkhauser, Basel.
8. Kharatashvili G.L. A maximum principle in external problems with delays. Balakrishnan A.V., Neustadt L.W. Mathematical Theory of Control. 1967;Academic Press, New York.
9. Oguztoreli M.N. Time-Lag Control Systems. 1966;Academic Press, New York.
10. Oguztoreli M.N. A time optimal control problem for systems described by differential difference equations. SIAM J. Control. 1:1963;290-310.
11. Eller D.H., Aggarwal J.K., Banks H.T. Optimal control of linear time-delay systems. IEEE Trans. Automat. Control. AC-14:1969;678-687.
12. Alekal Y., Brunovsky P., Chyung D.H., Lee B.E. The quadratic problem for systems with time delays. IEEE Trans. Automat. Control. AC-16:1971;673-687.
13. Delfour M.C. The linear quadratic control problem with delays in space and control variables. a state space approach SIAM. J. Control Optim. 24:1986;835-883.
14. Uchida K., Shimemura E., Kubo T., Abe N. The linear-quadratic optimal control approach to feedback control design for systems with delay. Automatica. 24:1988;773-780.
15. C.T. Abdallah, K. Gu, S. Niculescu (Eds.), Proceedings of the Third IFAC Workshop on Time Delay Systems, OMNIPRESS, Madison, 2001.
16. Dugard J.L. Stability and Control of Time-Delay Systems. 1998;Springer, Berlin.
17. Mahmoud M.S. Robust Control and Filtering for Time-Delay Systems. 2000;Marcel Dekker, New York.
18. M.V. Basin, M.A. Alcorta-Garcia, Optimal control for third degree polynomial systems and its automotive application, in: Proceedings of the 41st Conference on Decision and Control, Las Vegas, NV, December 10-13, 2002, pp. 1745-1750.
19. M.V. Basin, L.M. Fridman, P. Acosta, J. Rodriguez-Gonzalez, Optimal and robust integral sliding mode filters over observations with delay, in: Proceedings of the Seventh International Workshop on Variable Structure Systems, Sarajevo, July 17-19, 2002, pp. 163-174.
20. M.V. Basin, L.M. Fridman, M. Skliar, Optimal and robust sliding mode filter for systems with continuous and delayed measurements, in: Proceedings of the 41st Conference on Decision and Control, Las Vegas, NV, December 10-13, 2002, pp. 2594-2599.
21. M.V. Basin, R. Martinez-Zuniga, Optimal linear filtering over observations with multiple delays, in: Proceedings of the American Control Conference, Denver, CO, June 4-6, 2003, pp. 143-148.
22. Pontryagin L.S., Boltyanskii V.G., Gamkrelidze R.V., Mishchenko E.F. The Mathematical Theory of Optimal Processes. 1962;Interscience, New York.
23. Bellman R. Dynamic Programming. 1957;Princeton University Press, Princeton, NJ.
24. P. Gupta, P. Kumar, A system and traffic dependent adaptive routing algorithm for ad hoc networks, Proceedings of the 36th Conference on Decision and Control, San Diego, CA, December 1997, pp. 2375-2380.
25. L. Zhang, Z. Zhao, Y. Shu, L. Wang, O.W.W. Yang, Load balancing of multipath source routing in ad hoc networks, Proceedings of the IEEE International Conference on Communications, New York, 28 April-2 May 2002, pp. 3197-3201.
26. Bryson A.E., Ho Y.C. Applied Optimal Control: Optimization, Estimation, and Control. 1981;Hemisphere Publishing Co. Washington, DC.
27. Murray R., Sastry S. Nonholonomic motion planning. steering using sinusoids IEEE Trans. Automat. Control. AC-38:1993;700-716.
28. Filippov A.F. Differential Equations with Discontinuous Right-Hand Sides. 1989;Kluwer, Dordrecht.
29. Pugachev V.S., Sinitsyn I.N. Stochastic Differential Systems: Analysis and Filtering. 1987;Wiley, Chichester.
30. Pugachev V.S., Sinitsyn I.N. Stochastic Systems: Theory and Applications. 2001;World Scientific, Singapore.