You are here

SMPC for Discrete-time Singular Systems with Time-varying Delay

Journal Name:

Publication Year:

Author NameUniversity of Author
Abstract (2. Language): 
By introducing sliding mode predictive control (SMPC) techniques, a controller with passivity of a class of discrete-time uncertain singular systems is proposed in this paper. A new switching surface function is designed by taking the singular matrix into account, thus the resulting sliding mode dynamics is a full-order uncertain singular time-varying delay system. Due to feedback correction and receding horizon optimization, the influence of uncertainty can be compensated in time, strong robustness to matched or unmatched uncertainties is possessed. In addition, chattering of sliding mode control can be eliminated by predictive control method. Simulation result is given to illustrate the validity of the proposed approach.
59-64

REFERENCES

References: 

[1] L. Dai. Singular Control Systems, Berlin, Germany: Springer-Verlag, 1989.
[2] S. Xu, P. Van Dooren and R. Stefan et al., “Robust stability and stabilization for singular systems with state delay and parameter uncertainty," IEEE Trans. Automatic Control, vol. 47, pp.1122–1128, 2002.
[3] M. Wu, Y. He and J.H. She et al., “Delay-dependent criteria for robust stability of time-varying delay systems," Automatica, vol. 40, pp 1435–1439, 2004.
[4] L. Wu and W. Zheng, “Passivity-based sliding mode control of uncertain singular time-delay systems," Automatica, vol. 45, pp. 2120–2127, 2009.
[5] K. Young, V. Utkin and U. Ozguner, “A control engineer’s guide to sliding mode control," IEEE Trans. Control Syst. Technol., vol.7:, pp. 328– 42, 1999.
[6] J.Y. Hung, W. Gao and J.C. Hung, “Variable structure control: a survey," IEEE Transactions on Industrial Electronics, vol. 40, pp. 2–22, 1993.
[7] R. DeCarlo, S. Zak and G. Matthews, “Variable structure control of nonlinear multivariable systems: a tutorial," Proceedings of the IEEE, vol. 76, pp. 212–232, 1988.
[8] W. Garcia-Gabin, D. Zambrano and E.F. Camacho, “Sliding mode predictive control of a solar air conditioning plant," Control Engineering Practice, vol. 17, pp. 652–663, 2009.
[9] Q. Li, H. Lei and Z. Yang et al., “Sliding mode predictive control for nonlinear systems based on lazy learning," Control and Decision, vol. 26(4), pp. 524–529, 2011.
[10] M. Rubagotti, D.M. Raimondo, A. Ferrara et al., “Robust model predictive control with integral sliding mode in continuous-time sampled-data nonlinear systems," IEEE Transactions on Automatic Control, vol. 56 (3), pp. 556–570, 2011.
[11] A. Onat, T. Naskali and E. Parlakay et al., “Control over imperfect networks: Model-based predictive networked control systems," IEEE Transactions on Industrial Electronics, vol. 58 (3), pp. 905–913, 2011.
[12] L. Xiao, H. Su and J. Chu, “Sliding mode prediction based control algorithm for discrete-time non-linear uncertain coupled systems," International Journal of Control, vol. 80(9), pp. 1616-1625, 2007.
[13] L. Xiao, H. Su and X. Zhang et al., “Variable structure control with sliding mode prediction for discrete-time nonlinear systems," Journal of Control Theory and Applications, vol. 4(2), pp. 140–146, 2006.
[14] J. Kim, S.H. Oh and D. Cho et al., “Robust discrete-time variable structure control methods," ASME J. Dyn. Syst. Meas. Contr., vol. 122, pp. 66–775, 2000.
[15] J. Kim, H. Kim and J. Lee et al., “Discrete-time variable structure control using modified recursive switching function," Proceedings of the 40th SICE Annual Conference. International, Nagoya, Japan: IEEE Press, pp. 182–185, 2001.

Thank you for copying data from http://www.arastirmax.com