Delay-Dependent Robust Fault-Tolerant Control for Delta Operator Systems with D-Stability

Abstract:

This paper is concerned with the problem of delay-dependent robust fault-tolerant control for delta operator formulated uncertain systems with time-varying delays and regional pole assignment constraints. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, a sufficient condition of delay-dependent robust fault-tolerant D-stabilization for delta operator systems with time-delay and actuator failure is provided. When LMI is feasible, the state feedback control law of the delay- dependent systems is also obtained. A numerical simulation shows the advantages of delta operator approach and the effectiveness of the proposed method.

• Periodical: Applied Mechanics and Materials (Volume 65)
• Pages: 319-323
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.65.319
• Online since: June 2011
• Authors: Qing Hua Song, Lina Ji, Duan Jin Zhang, Shan Meng
• Keywords: Delta Operator, Fault Tolerant Control, Linear Matrix Inequality (LMI), Time Delay System

References

[1] X. Z. Jin and G. H. Yang: Robust fault-tolerant control systems design with actor failures via linear fractional transformations, Proceedings of 2008 American Control Conference, pp.4338-4343, (2008).

DOI: 10.1109/acc.2008.4587177

[2] S. J. Ye and Y. M. Zhang: Robust fault-tolerant control using on-line control re-allocation with application to aircraft, Proceedings of 2009 American Control Conference, pp.5534-5539, (2009).

DOI: 10.1109/acc.2009.5160615

[3] A. Fekih: A robust fault tolerant control strategy for aircraft systems, Proceedings of 18th IEEE International Conferende on Control Applications, Saint Petersburg, pp.1643-1648, (2009).

DOI: 10.1109/cca.2009.5281005

[4] J. Li, G. Wu and Z. Q. Wang: An LMI approach to D-stable robust H¥ fault-tolerant control of uncertain systems, Proc IEEE International Conference on Automation and Logistics, pp.1745-1749, (2007).

DOI: 10.1109/ical.2007.4338855

[5] J. S. Sun, H. Yang and Z. Q. Wang: D-Stable fault-tolerant control for discrete time-delay uncertain systems, Proc 20th Chinese Control and Decision Conference, pp.202-605, (2008).

DOI: 10.1109/ccdc.2008.4597384

[6] Q. X. Lan and H. W. Niu: Delay-dependent robust control for uncertain singular systems with time-delay: a new method, Proceedings of 2010 Chinese Control and Decision Conference, pp.745-750, (2010).

DOI: 10.1109/ccdc.2010.5498906

[7] Y. B. Zhao, G. P. Liu and D. Rees: Stability and stabilization of discrete-time networked control systems: a new time delay system approach, IET Control Theory Appl., Vol. 4, No. 9, pp.1859-1866, (2010).

DOI: 10.1049/iet-cta.2009.0366

[8] R. H. Middleton and G. C. Goodwin: Rapprochement between continuous and discrete model reference adaptive control, Automatica, Vol. 22, No. 6, pp.199-207, (1986).

DOI: 10.1016/0005-1098(86)90081-6

[9] M. Q. Xiao: Reliable robust guaranteed cost and D-stability control for delta operator linear uncertain systems, Proceedings of the 29th Chinese Control Conference, pp.174-178, (2010).

DOI: 10.1109/icicta.2009.208

[10] J. Qiu, Y. Xia, H. Yang and J. Zhang: Robust stabilization for a class of discrete-time systems with time-varying delays via delta operators, IET Control Theory and Applications, Vol. 2, No. 1, pp.87-93, (2008).

DOI: 10.1049/iet-cta:20070070

[11] D.J. Zhang, Q.H. Song, and L. H. Zhang: Robust D-stable fault tolerant control for delta operator formulated uncertain systems with state delays, Proceedings of 2009 ISECS International Colloquium on Computing, Communication, Control and Management, pp.505-508, (2009).

DOI: 10.1109/cccm.2009.5267480

[12] D. J. Zhang and J. Wu: Robust H¥ control for delta operator formulated uncertain systems with circular pole constraints, Proceedings of 2002 International Conference on Control and Automation, Xiamen, China, pp.2377-2381, (2002).

DOI: 10.1109/icca.2002.1229693