Stabilization of time-delay systems by PID controllers

2009 6th International Multi-Conference on Systems, Signals and Devices, SSD 2009

Volumn , Issue , 2009, Pages

  Magdi, S Mahmoud ^a  

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

Author keywords

H1 stabilization; LMIs; Proportional integral derivative feedback; Time delay systems

Indexed keywords

DELAY-DEPENDENT STABILIZATION; FEEDBACK STABILIZATION; H1 STABILIZATION; LINEAR TIME; LMIS; LYAPUNOV-KRASOVSKII FUNCTIONAL; NUMERICAL EXAMPLE; PID CONTROLLERS; PROPORTIONAL INTEGRAL DERIVATIVES; PROPORTIONAL-INTEGRAL-DERIVATIVE FEEDBACK; THEORETICAL DEVELOPMENT; TIME-DELAY SYSTEMS; TIME-VARYING FUNCTIONS;

DELAY CONTROL SYSTEMS; FEEDBACK; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; NONLINEAR CONTROL SYSTEMS; STABILIZATION; THREE TERM CONTROL SYSTEMS; TIME DELAY; TWO TERM CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

PROPORTIONAL CONTROL SYSTEMS;

EID: 67650544819     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SSD.2009.4956723     Document Type: Conference Paper

References (28)

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. (Pubitemid 350021221)
3. Chen, W. H., Z. H. Guan and X. Lu,. Delay-Dependent Guaranteed Cost Control for Uncertain Discrete-Time Systems with Delay., IEE Proc.-Control Theory Appl., Vol. 150, 2003, pp. 412-416.
4. Duan, G. R., and X. Zhang,. Regularizability of Linear Descriptor Systems via Output plus Partial State-Derivative Feedback., Asian J. Control, Vol. 5, 2003, pp. 334-340.
5. Fridman E. and U. Shaked,. An Improved Stabilization Method for Linear Systems with Time-Delay., IEEE Trans. Automat. Contr., Vol. 47, 2002, pp. 1931-1937. (Pubitemid 35426901)
6. Fridman E. and U. Shaked,. Delay-Dependent Stability andH1 Control: Constant and Time-Varying Delays., Int. J. Control, Vol. 76, 2003, pp. 48-60.
7. Suplin, V., E. Fridman and U. Shaked,. H1 Control of Linear Uncertain Time-Delay Systems-A Projection Approach., IEEE Trans. Automat. Contr., Vol. 51, 2006, pp. 680-685.
8. 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.
9. Kim, D. K., P. G. Park and J. W. Ko,. Output Feedback H1 Control of Systems Over Communication Networks using a Deterministic Switching Systems Approach., Automatica, Vol. 40, no. 3, 2004, pp. 1205-1212.
10. Lee, C. S. and G. Leitmann,. Continuous Feedback Guaranteeing Uniform Ultimate Boundedness for Uncertain Linear Delay Systems: An Application to River Pollution Control., Computer and Mathematical Modelling, Vol. 16, 1988, pp. 929-938.
11. Lee, Y. S., Y. S. Moon, W. H. Kwon and P. G. Park,. Delay-Dependent H1 Control for Uncertain Systems with a State-Delay., Automatica, Vol. 40, 2004, pp. 65-72.
12. Li, X. and C. De Souza,. Criteria for Robust Stability and Stabilization of Test for Uncertain Linear Systems with State-Delay., Automatica, Vol. 33, 1997, pp. 1657-1662. (Pubitemid 127378839)
13. 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. (Pubitemid 43137933)
14. Mahmoud, M. S. and S. J. Saleh,. Regulation of Water Quality Standards in Streams by Decentralized Control., Int. J. Control, Vol. 41, 1985, pp. 525-540.
15. Mahmoud, M. S.,. Robust Stability and Stabilization of a Class of Uncertain Nonlinear Systems with Delays., J. Mathematical Problems in Engineering, Vol. 3, 1997, pp. 1-21.
16. Mahmoud, M. S. and M. Zribi,. H1 Controllers for Time-Delay Systems using Linear Matrix Inequalities., J. Optimization Theory and Applications, Vol. 100, 1999, pp. 89-123.
17. Mahmoud, M. S.,. Delay-Dependent Robust Stability and Stabilization for Systems with Mismatched Uncertainties., IMA J. Mathematical Control and Information, Vol. 17, 2000, pp. pp. 309-323. (Pubitemid 30907835)
18. Mahmoud, M. S.,. Robust Control and Filtering for Time-Delay Systems., Marcel-Dekker, New-York, 2000.
19. Mahmoud, M. S.,. Resilient Control of Uncertain Dynamical Systems., Springer-Verlag, Berlin, 2004.
20. 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. (Pubitemid 40173729)
21. Mahmoud, M. S. and Abdulla Ismail,. Delay-Dependent Robust Stability and Stabilization of Neutral Systems., J. Applied Mathematical Sciences, Vol. 1, 2007, pp. 491-505.
22. Moon, Y. S., P. Park, W. H. Kwon and Y. S. Lee,. Delay-dependent Robust Stabilization of Uncertain State-Delayed Systems., Int. J. Control, Vol. 74, 2001, pp. 1447-1455.
23. 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.
24. 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.
25. 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.
26. Xie, G. and L. Wang,. Quadratic Stability and Stabilization of Discrete-Time Switched Systems with State-Delay., Proc. 43th IEEE Conf. Decision Control, Atlantis, Paradise Island, Bahamas, Dec. 14-17, 2004, pp. 3235-3240. (Pubitemid 40287284)
27. Yuan, L., L. E. K. Axhenie and W. Jiang,. Robust H1 Control of Linear Discrete-Time Systems with Norm-Bounded Time-Delay Uncertainty., Systems and Control Letters, Vol. 27, 1996, pp. 199-208. (Pubitemid 126412719)
28. 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. (Pubitemid 34036421)