Robust Integral Sliding Mode Regulator for Linear Systems with Multiple Time Delays in Control Input

Proceedings of the IEEE Conference on Decision and Control

Volumn 4, Issue , 2003, Pages 4056-4061

  Basin, Michael ^a   Rodriguez Gonzalez, Jesus ^a   Acosta, Pedro ^b   Fridman, Leonid ^c  

^a UNIVERSIDAD AUTÓNOMA DE NUEVO LEÓN   (Mexico)

^b UNIVERSIDAD AUTÓNOMA DE CHIHUAHUA   (Mexico)

^c UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; LINEAR SYSTEMS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS);

MULTIPLE TIME DELAYS; OPTIMAL REGULATORS;

SLIDING MODE CONTROL;

EID: 1542319194     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (24)

1. C. T. Abdallah, K. Gu (Eds.), Proc. 3rd IFAC Workshop on Time Delay Systems, OMNIPRESS, Madison (2001).
2. G. Bartolini, W. Caputo, M. Cecchi, A. Ferrara, and L. Fridman, Vibration damping in elastic robotic structure via sliding modes, Int. J. Robotic Systems, Vol. 14, pp. 675-696 (1997).
3. M. V. Basin, L. M. Fridman, P. Acosta, and J. Rodriguez-Gonzalez, Optimal and robust integral sliding mode filters over observations with delay, in Proc. 7th International Workshop on Variable Structure Systems (Sarajevo, July 17-19, 2002), pp. 163-174 (2002).
4. M. V. Basin, J. Rogriguez Gonzalez, P. Acosta, L. Fridman, Robust integral sliding mode regulator for linear systems with time delay in control input, in Proc. American Control Conference 2003 (Denver, June 4-6, 2003), pp. 2138-2143.
5. M. V. Basin, J. Rodriguez Gonzalez, Optimal control for linear systems with multiple time delays in control input, IEEE Trans. Automal. Control, submitted.
6. R. Bellman, Dynamic Programming, Princeton University Press, Princeton (1957).
7. W.-J. Cao, J.-X. Xu, Nonlinear integral type sliding surfaces for both matched and unmatched uncertain systems, IEEE Trans. Automat. Control, submitted.
8. S.V. Drakunov, V.I. Utkin, Sliding mode control in dynamic systems, Int. J. Control, Vol. 55, pp. 1029-1037 (1993).
9. A. F. Filippov, Differential Equations with Discontinuous Right-Hand Sides, Kluwer (1989).
10. L. Fridman, E. Fridman, and E. Shustin, Steady modes and sliding modes in relay control systems with delay, in Sliding Mode in Engineering, Barbot J.P., Perruquetti W. (Eds.), Marcel Dekker, New York, pp. 263-294 (2002).
11. E. Fridman, L. Fridman, and E. Shustin, Steady modes in the relay control systems with delay and periodic disturbances, ASME Journal of Dynamical Systems, Measurement and Control, Vol. 122, no. 4, pp. 732-737 (2000).
12. L. Fridman, P. Acosta, and A. Polyakov, Robust eigen-value assignment for uncertain delay control systems, in Proc. 3rd IFAC Workshop on Time Delay Systems, Santa Fe, NM, December 70-72, 2007, pp. 239-244 (2001).
13. 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).
14. V. B. Kolmanovskii, L. E. Shaikhet, Control of Systems with Aftereffect, American Mathematical Society, Providence (1996).
15. V. B. Kolmanovskii, A. D. Myshkis, Introduction to the Theory and Applications of Functional Differential Equations, Kluwer, New York (1999).
16. X. Li, S. Yurkovitch, Sliding Mode Control of Systems with Delayed States and Controls, in Variable Structure Systems, Sliding Mode and Nonlinear Control, K.D. Young, U. Ozguner (Eds.), Lecture Notes in Control and Information Sciences, Vol. 247, Springer Verlag, Berlin, pp. 93-108 (1999).
17. M. N. Oguztoreli, Time-Lag Control Systems, Academic Press, New York (1966).
18. Y. Orlov, L. Belkoura, M. Dambrine, and J.-P. Richard, On identifiability of linear time-delay systems, IEEE Trans. Automat. Control, Vol. 47, pp. 1319-1324 (2002).
19. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes, Interscience, New York (1962).
20. J.-P. Richard, F. Gouaisbaut, and W. Perruquetti, Sliding mode control in the presence of delay, Kybernetica, Vol. 37, pp. 277-294 (2001).
21. Y.-H. Roh, J.-H. Oh, Robust stabilization of uncertain input delay systems by sliding mode control with delay compensation, Automatica, Vol. 37, pp. 1861-1865 (1999).
22. S.-K. Nguang, Comments on "Robust stabilization of uncertain input delay systems by sliding mode control with delay compensation," Automatica, Vol. 37, p. 1677 (2001).
23. Yu. B. Shtessel, A. S. I. Zinober, and I. Shkolnikov, Sliding mode control using method of stable system centre for nonlinear systems with output delay, in Proc. 41st Conf. on Decision and Control (Las Vegas, NV, December 10-13, 2002), pp. 993-998 (2002).
24. V.I. Utkin, J. Guldner, and J. Shi, Sliding Mode Control in Electromechanical Systems, Taylor and Francis, London (1999).