Application of genetic algorithm to the observer-based controller design for neutral systems

Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an

Volumn 28, Issue 3, 2005, Pages 479-492

  Lien, Chang Hua ^a  

^a I SHOU UNIVERSITY   (Taiwan)

Author keywords

GA; LMI approach; Neutral system; Observer based control

Indexed keywords

FEEDBACK CONTROL; FUNCTIONS; GENETIC ALGORITHMS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; OBSERVABILITY;

LINEAR MATRIX INEQUALITY (LMI) APPROACH; NEUTRAL TIME DELAY SYSTEMS; OBSERVER BASED CONTROL; PHYSICAL CONTROL SYSTEMS;

SYSTEM STABILITY;

EID: 20044366227     PISSN: 02533839     EISSN: 21587299     Source Type: Journal    
DOI: 10.1080/02533839.2005.9671014     Document Type: Article

References (22)

1. Bliman, P. A., 2002. “Lyapunov Equation for The Stability of Linear Delay Systems of Retarded and Neutral Type,”. IEEE Transactions on Automatic Control, 47 (2):327–335.
2. Boyd, S., Ghaoui, L. El, Feron, E., and Balakrishnan, V., 1994. Linear Matrix Inequalities in System and Control Theory, Philadelphia, PA, USA:Society for Industrial and Applied Mathematics.
3. Chesi, G., Garulli, A., Tesi, A., and Vicino, A., 2003. “Solving Quadratic Distance Problems:An LMI-based Approach,”. IEEE Transactions on Automatic Control, 48 (2):200–212.
4. Chou, J. H., Chen, S. H., and Li, J. J., 2000. “Application of the Taguchi-Genetic Method to Design An Optimal Grey-Fuzzy Controller of A Constant Turning Force System,”. Journal of Material Processing Technology, 105 (3):333–343.
5. Darouach, M., 2001. “Linear Functional Observers for Systems with Delays in State Variables,”. IEEE Transactions on Automatic Control, 46 (3):491–496.
6. Gen, M., and Cheng, R. W., 1997. Genetic Algorithms and Engineering Design, New York, USA:John Wiley and Sons.
7. Hale, J. K., and Verduyn Lunel, S. M., 1993. Introduction to Functional Differential Equations, New York, USA:Springer-Verlag.
8. Hou, M., Zitek, P., and Patton, R. J., 2002. “An Observer Design for Linear Time-Delay Systems,”. IEEE Transactions on Automatic Control, 47 (1):121–125.
9. Hua, C., Long, C., Guan, X., and Duan, G., “Robust Stabilization of Uncertain Dynamic Time-Delay Systems with Unknown Bounds of Uncertainties,”. Proceedings of the American Control Conference. Anchorage, AK, USA. Vol. 1, pp. 3365–3370.
10. Kolmanovskii, V. B., and Myshkis, A., 1999. Introduction to the Theory and Applications of Functional Differential Equations, Dordrecht, Netherlands:Kluwer Academic Publishs.
11. Kuo, C. H., and Fang, C. H., “Stabilization of Uncertain Linear Systems Via Static Output Feedback Control,”. 2003 Automatic Control Conference. Taiwan. Vol. 1, pp. 1607–1611.
12. Li, X., and DeCarlo, R. A., “Robust Controller and Observer Design for Time-Delay Systems,”. Proceedings of the American Control Conference. Anchorage, AK, USA. Vol. 1, pp. 2210–2215.
13. Lien, C. H., and Chen, J. D., 2003. “Discrete-Delay-Independent and Discrete-Delay-Dependent Criteria for a Class of Neutral Systems,”. ASME Journal of Dynamic Systems, Measurement, and Control, 125 (1):33–41.
14. Lu, C. Y., Tsai, J. S. H., Jong, G. J., and Su, T. J., 2003. “An LMI-Based Approach for Robust Stabilization of Uncertain Stochastic Systems with Time-Varying Delays,”. IEEE Transactions on Automatic Control, 48 (2):286–289.
15. Park, J. H., 2003. “Robust Guaranteed Cost Control for Uncertain Linear Differential Systems of Neutral Type,”. Applied Mathematics and Computation, 140 (3):523–535.
16. Sun, Y. J., 2002. “Global Stabilizability of Uncertain Systems with Time-Varying Delays Via Dynamic Observer-Based Output Feedback,”. Linear Algebra and Its Applications, 353 (1):91–105.
17. Trinh, H., 1999. “Linear Functional State Observer for Time-Delay Systems,”. International Journal of Control, 72 (18):1642–1658.
18. Trinh, H., and Aldeen, M., 1997. “An Asymptotic Model Observer for Linear Autonomous Time Lag Systems,”. IEEE Transactions on Automatic Control, 42 (5):742–745.
19. Wang, Z., Lam, J., and Burnham, K. J., 2002. “Stability Analysis and Observer Design for Neutral Delay Systems,”. IEEE Transactions on Automatic Control, 47 (3):478–483.
20. Xie, S., and Xie, L., 2000. “Stabilization of a Class of Uncertain Large-Scale Stochastic Systems with Time Delays,”. Automatica, 36 (1):161–167.
21. Xu, S., Lam, J., Yang, C., and Verrist, E. I., 2003. “An LMI Approach to Guaranteed Cost Control for Uncertain Linear Neutral Delay Systems,”. International Journal of Robust Nonlinear Control, 13 (1):35–53.
22. Zitek, P., 1998. “Anisochronic State Observers for Hereditary Systems,”. International Journal of Control, 71 (4):581–599.