Stabilization of linear time-delay systems by three-term controllers

Proceedings of the IEEE International Conference on Control Applications

Volumn , Issue , 2009, Pages 296-301

  Mahmoud, Magdi S ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

DELAY-DEPENDENT STABILIZATION; FEEDBACK STABILIZATION; LINEAR TIME; LINEAR TIME-DELAY SYSTEM; LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE; PROPORTIONAL INTEGRAL DERIVATIVES; THEORETICAL DEVELOPMENT; THREE-TERM; TIME-VARYING FUNCTIONS;

LYAPUNOV FUNCTIONS; NONLINEAR CONTROL SYSTEMS; PROPORTIONAL CONTROL SYSTEMS; STABILIZATION; TIME DELAY; TWO TERM CONTROL SYSTEMS;

DELAY CONTROL SYSTEMS;

EID: 74049141467     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCA.2009.5281149     Document Type: Conference Paper

References (14)

1. Abdelaziz, T. H. S., and M. Valas'ek, "Pole-Placement for SISO Linear Systems by State-Derivative Feedback", IEE Proc. Contr. Theory Appl., vol. 151, 2004, pp. 377-385.
2. Assuncao, E., M. C. M. Teixeira, F. A. Faria, N. A. P. Da Silva and R. Cardim, "Robust State-Derivative Feedback LMI-Based Designs for Multivariable Linear Systems", Int. J. Control, vol. 80, 2007, pp. 1260-1270.
3. Fridman E. and U. Shaked, "Delay-Dependent Stability and H∞ Control: Constant and Time-Varying Delays", Int. J. Control, vol. 76, 2003, pp. 48-60.
4. Jing, X. J., D. L. Tan and Y. C. Wand, "An LMI Approach to Stability of Systems with Severe Time-Delay", IEEE Trans. Automat. Contr., vol. 49, 2004, pp. 1192-1195.
5. Lee, Y. S., Y. S. Moon, W. H. Kwon and P. G. Park, "Delay-Dependent H∞ Control for Uncertain Systems with a State-Delay", Automatica, vol. 40, 2004, pp. 65-72.
6. Lin, Q. G. Wang and T. H. Lee, "A Less Conservative Robust Stability Test for Linear Uncertain Time-Delay Systems", IEEE Trans. Automat. Contr., vol. 51, 2006, pp. 87-91.
7. Mahmoud, M. S. and M. Zribi, "H∞ Controllers for Time-Delay Systems using Linear Matrix Inequalities", J. Optimization Theory and Applications, vol. 100, 1999, pp. 89-123.
8. Mahmoud, M. S., "Robust Control and Filtering for Time-Delay Systems", Marcel-Dekker, New-York, 2000.
9. Mahmoud, M. S., "Resilient Control of Uncertain Dynamical Systems", Springer-Verlag, Berlin, 20004.
10. Mahmoud, M. S. and Abdulla Ismail, "New Results on Delay-Dependent Control of Time-Delay Systems", IEEE Trans. Automat. Contr., vol. 50, 2005, pp. 95-100.
11. Reithmeier, E. and G. Leitmann, "Robust Vibration Control of Dynamical Systems based on the Derivative of the State", Arc. Appl. Mech., vol. 72, 2003, pp. 856-864.
12. Wang, Z. W., R. Zhou and C. Wen, "Load-Frequency Controller Design for Power Systems", Proc. IEE Part C, vol. 140, 1993, pp. 11-17.
13. Wu, M., Y. He, J. H. She and G. P. Liu, "Delay-Dependent Criteria for Robust Stability of Time-Varying Delay Systems", Automatica, vol. 40, 2004, pp. 1435-1439.
14. Zheng, F. and P. M. Frank, "Robust Control of Uncertain Distributed Delay Systems with Application to the Stabilization of Combustion in Rocket Motor Chambers", Automatica, vol. 38, 2002, pp. 487-497.