Feedback control for parabolic distributed parameter systems with time-delay

International Journal of Innovative Computing, Information and Control

Volumn 5, Issue 5, 2009, Pages 1359-1365

  Xing, Hailong ^a   Li, Donghai ^a   Zhong, Xiaozhu ^b  

^a TSINGHUA UNIVERSITY   (China)

^b YANSHAN UNIVERSITY   (China)

Author keywords

Distributed parameter systems; Feedback control; Stability; Time delay

Indexed keywords

EID: 63849300306     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. W. H. Ray, Some recent applications of distributed parameter systems theory-a survey, Automatica, vol.14, no.4, pp.281-287, 1978.
2. A. G. Butkowskii, Distributed Parameter Systems, American Elsevier, 1969.
3. M. Shirvani, M. Inagaki, T. Shimizu, Simplification study on dynamic models of distributed parameter systems, A. I. Ch. E. Journal, vol.41, no.12, pp.2658-2660, 1995.
4. D. Dochain, J. Babary, N. Tali-Maamar, Modelling and adaptive control of nonlinear distributed parameter bioreactors via orthogonal collocation, Automatica, vol.28, no.5, pp.873-883, 1992.
5. P. Gundepudi, J. Friedly, Velocity control of hyperbolic partial differential equation systems with single characteristic variable, Chemical Engineering Science, vol.53, no.24, pp.4055-4072, 1998.
6. P. D. Christofides, Nonlinear and Robust Control of PDE Systems, Birkhauser, Boston, 2000.
7. S. Godas, A. Karakas, A. Palazoglu, Control of nonlinear distributed parameter processes using symmetry groups and invariance conditions, Computers Chemical Engineering, vol.26,pp.7-8, pp.1023-1036, 2002.
8. P. Neittaanmaki, D. Tiba, Optimal Control of Nonlinear Parabolic Systems: Theory, Algorithms and Applications, Marcel Dekker Inc., New York, 1994.
9. J. Alvarez-Ramirez, Linear boundary control for a class of nonlinear PDE processes, Systems and Control Letters, vol.44, pp.395-403, 2001.
10. S. Y. Shvartsman, I. G. Kevrekidis, Nonlinear model reduction for control of distributed systems: A computer - Assisted study, A. I. Ch. E. Journal, vol.44, no.7, pp.1579-1595, 1998.
11. D. Shi, N. H. El-Farra, M. H. Li, P. Mhaskar, P. D. Christofides, Predictive control of particle size distribution in particulate processes, Chemical Engineering Science, vol.61, no.1, pp.268-281, 2006.
12. K. Hoo, D. Zheng, Low-order control-relevant models for a class of distributed parameter systems, Chemical Engineering Science, vol.56, no.23, pp.6683-6710, 2001.
13. A. A. Alonso, C. E. Frouzakis, I. G. Kevrekidis, Optimal sensor placement for state reconstruction of distributed process systems, A. I. Ch. E. Journal, vol.50, no.7, pp.1438-1452, 2004.
14. Y. Smagina, O. Nekhamkina, M. Sheintuch, Stabilization of fronts in a reaction-diffusion system: Application of the Gershgorin theorem, Industrial and Engineering Chemistry Research, vol.41, no.8, pp.2023-2032, 2002.
15. R. Wang and J. Zhao, Exponential stability analysis for discrete-time switched linear systems with time-delay, International Journal of Innovative Computing, Information and Control, vol.3, no.6(B), pp.1557-1564, 2007.
16. H.-Y. Chu, K.-H. Tsai andW.-J. Chang, Fuzzy control of active queue management routers for transmission control protocol networks via time-delay affine Takagi-Sugeno fuzzy models, International Journal of Innovative Computing, Information and Control, vol.4, no.2, pp.291-312, 2008.