Delay-Dependent Robust Passive Control for Uncertain Discrete-Time Systems with Time Delays

Jufang Wang, Changlong Yu, Zhifeng Gao

College of Sciences, Hebei University of Science and Technology, Shijiazhuang, China.
Nanjing University of Aeronautics and Astronautics, Nanjing, China.

DOI: 10.4236/ojdm.2013.33022                

Abstract

This paper considers the problem of robust passive control for uncertain discrete systems with time-varying delays. We pay attention to designing a state feedback controller which guarantees the passivity of the closed-loop system for all admissible uncertainties. In terms of a linear matrix inequality, a sufficient condition for the solvability of this problem is presented and the explicit expression of the desired state feedback controller is given.

Keywords

Robust Passive Control; Discrete Systems; Time Delay

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	W. Lin, “Global Asymptotic Stabilization of General Nonlinear Systems with Stable Free Dynamics via Passivity and Bounded Feedback,” Automatica, Vol. 32, No. 6, 1996, pp. 915-924. doi:10.1016/0005-1098(96)00013-1
[2]	W. Z. Su and L. H. Xie, “Robust Control of Nonlinear Feedback Passive Systems,” Automatica, Vol. 28, No. 2, 1996, pp. 5-93.
[3]	B. T. Cui and M. G. Hua, “Robust Passive Control for Uncertain Discrete-Time Systems with Time-Varying Delays,” Chaos, Solitons & Fractals, Vol. 29, No. 2, 2006, pp. 331-341. doi:10.1016/j.chaos.2005.08.039
[4]	Z. H. Guan, H. Zhang and S. H. Yang, “Robust Passive Control for Internet-Based Switching Systems with Time-Delay,” Chaos, Solitons & Fractals, Vol. 36, No. 2, 2008, pp. 479-486. doi:10.1016/j.chaos.2006.06.039
[5]	W. Lin and C. I. Byrnes, “Passivity and Absolute Stabilization of a Class of Discrete-Time Nonlinear Systems,” Automatica, Vol. 31, No. 2, 1995, pp. 263-267. doi:10.1016/0005-1098(94)00075-T
[6]	Q. K. Song, J. L. Liang and Z. D. Wang, “Passivity Analysis of Discrete-Time Stochastic Neural Networks with Time-Varying Delays,” Neurocomputing, Vol. 72, No. 7-9, 2009, pp. 1782-1788. doi:10.1016/j.neucom.2008.05.006