Optimal controller for linear systems with time delays in input and observations

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

Volumn 12, Issue 1, 2005, Pages 1-14

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

^a UNIVERSIDAD AUTÓNOMA DE NUEVO LEÓN   (Mexico)

^b UNIVERSIDAD AUTÓNOMA DE COAHUILA   (Mexico)

Author keywords

Filtering; Linear system; Optimal control; Time delay

Indexed keywords

EID: 11944260716     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. C. T. Abdallah, K. Gu, and S. Niculescu (eds.), Proc. 3rd IFAC Workshop on Tune Delay Systems, OMNIPRESS, Madison, 2001.
2. Y. Alekal, P. Brunovsky, D. H. Chyung, and E. B. Lee, The quadratic problem for systems with time delays, IEEE Trans. Automat. Contr., AC-16 (1971) 673-687.
3. H. L. Alexander, State estimation for distributed systems with sensing delay, SPIE. Data Structures and Target Classification 1470 (1991).
4. R. L. Alford and E. B. Lee, Sampled data hereditary systems: linear quadratic theory, IEEE Trans. Automat. Contr. 31 (1986) 60-65.
5. K.J. Åström, Introduction to Stochastic Control Theory, Academic Press, New York, 1970.
6. M. V. Basin and R. Martinez-Zuniga, Optimal linear filtering over observations with multiple delays, in Proc. American Control Conference 2003, Denver, CO, June 2003, pp. 143-148.
7. M. V. Basin, J. Rodriguez-Gonzalez, and R. Martinez-Zuniga, Optimal control for linear systems with time delay in control input based on the duality principle, in Proc. American Control Conference 2003, Denver, CO, June 2003, pp. 2144-2149.
8. E.-K. Boukas and Z.-K. Liu, Deterministic and Stochastic Time-Delay Systems, Birkhauser, 2002.
9. M. C. Delfour, The linear quadratic control problem with delays in space and control variables: a state space approach, SIAM. J. Contr. Optim. 24 (1986) 835-883.
10. J. M. Dion et al. (eds.), Linear Time Delay Systems, Pergamon, London, 1999.
11. J. L. Dugard and E.I. Verriest (eds.), Stability and Control of Time-Delay Systems, Springer, 1998.
12. D. H. Eller, J. K. Aggarwal, and H. T. Banks, Optimal control of linear time-delay systems, IEEE Trans. Aut. Contr. AC-14 (1969) 678-687.
13. W. H. Fleming and R. W. Rishel, Deterministic and Stochastic Optimal Control, Springer-Verlag, New York, 1975.
14. P. Gupta and P. Kumar, A system and traffic dependent adaptive routing algorithm for ad hoc networks, in Proc. 36th Conf. on Decision and Control, San Diego, CA, December 1997, pp. 2375-2380.
15. F. H. Hsiao and S. T. Pan, Robust Kalman filter synthesis for uncertain multiple time-delay stochastic systems, ASME Transactions. J. of Dynamic Systems, Measurement, and Control, 118 (1996) 803-808.
16. R. E. Kalman and R. S. Bucy, New results in linear filtering and prediction theory, ASME Trans., Part D (J. of Basic Engineering) 83 (1961) 95-108.
17. E. Kaszkurewicz and A. Bhaya, "Discrete-time state estimation with two counters and measurement delay", in Proc. 35th IEEE Conf. on Decision and Control, Kobe, Japan, December 1996.
18. G. L. Kharatashvili, "A maximum principle in external problems with delays", in Mathematical Theory of Control, A. V. Balakrishnan and L. W. Neustadt (eds.), Academic Press, New York, 1967.
19. V. B. Kolmanovskii and L. E. Shaikhet, Control of Systems with Aftereffect, American Mathematical Society, Providence, 1996.
20. V. B. Kolmanovskii and A. D. Myshkis, Introduction to the Theory and Applications of Functional Differential Equations, Kluwer, New York, 1999.
21. H. Kwakernaak and R. Sivan, Linear Optimal Control Systems, Wiley-Interscience, New York, 1972.
22. T. D. Larsen, N. A. Andersen, O. Ravn, and N. K. Poulsen. "Incorporation of the time-delayed measurements in a discrete-time Kalman filter", in Proc. 37th Conf. on Decision and Control, Tampa, FL, December 1998, pp. 3972-3977.
23. M. Malek-Zavarei and M. Jamshidi, Time-Delay Systems: Analysis, Optimization and Applications, North-Holland, Amsterdam, 1987.
24. M. S. Mahmoud, Robust Control and Filtering for Time-Delay Systems, Marcel Dekker, 2000.
25. M. N. Oguztoreli, "A lime optimal control problem for systems described by differential difference equations", SIAM J. Control, 1 (1963) 290-310.
26. M. N. Oguztoreli, Time-Lag Control Systems, Academic Press, New York, 1966.
27. V. S. Pugachev and I. N. Sinitsyn, Stochastic Systems: Theory and Applications, World Scientific, 2001.
28. O. J. M. Smith, Feedback Control Systems, McGraw Hill, New York, 1958.
29. K. Uchida, E. Shimemura, T. Kubo, and N. Abe, "The linear-quadratic optimal control approach to feedback control design for systems with delay", Automatica 24 (1988) 773-780.
30. L. Zhang, Z. Zhao, Y. Shu, L. Wang, and O.W.W. Yang, "Load balancing of multipath source routing in ad hoc networks", in Proc. IEEE Intern. Conf. on Communications 2002, pp. 3197-3201.