Browse > Article
http://dx.doi.org/10.5302/J.ICROS.2012.18.6.509

Control of Discrete Time Nonlinear Systems with Input Delay  

Lee, Sung-Ryul (Kunsan National University)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.18, no.6, 2012 , pp. 509-512 More about this Journal
Abstract
This paper presents the state feedback control design for discrete time nonlinear systems where there exists a time delay in input. It is shown that under some boundedness condition, the time delay nonlinear systems can be transformed into the time delay linear systems with time varying parameters. Sufficient conditions for existence of stabilizing state feedback controller are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.
Keywords
input delay; nonlinear systems; linear matrix inequalities;
Citations & Related Records
연도 인용수 순위
  • Reference
1 K. Gu, V. Kharitonov, and J. Chen, "Stability of time-delay systems," Birkhauser, Boston, 2003.
2 Y. He, M. Wu, J. She, and G. Liu, "Parameter - dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties," IEEE Trans. on Automatic Control, vol. 49, no. 5, pp. 828-832, May 2004.   DOI   ScienceOn
3 Y. He, Q. Wang, L. Xie, and C. Lin, "Futher improvement of free-weighting matrices technique for systems with time-varying delay," IEEE Trans. on Automatic Control, vol. 52, no. 2, pp. 293-299, Feb. 2007.   DOI   ScienceOn
4 H. Gao and T. Chen, "New results on stability of discrete-time systems with time-varying state delay," IEEE Trans. on Automatic Control, vol. 52, no. 2, pp. 328-334, Feb. 2007.   DOI   ScienceOn
5 H. Gao, J. Lam, C. Wang, and Y. Wang, "Delaydependent output-feedback stabilization of discrete-time systems with time-varying state delay," IEE Proc. Control Theory Appl., vol. 151, no. 6, pp. 691-698, Nov. 2004.   DOI   ScienceOn
6 Y. He, M. Wu, G. Liu, and J. She, "Output feedback stabilization for a discrete-time systems with time-varying delay," IEEE Trans. on Automatic Control, vol. 53, no. 10, pp. 2372-2377, Nov. 2008.   DOI
7 M. Mrstic, "On compensating long actuator delays in nonlinear control," IEEE Trans. on Automatic Control, vol. 53, no. 7, pp. 1684-1688, Aug. 2008.   DOI
8 F. Hao and Z. Zhao, "Linear matrix inequality approach to static output-feedback stabilization of discrete-time networked control systems," IET Control Theory Appl., vol. 4, no. 7, pp. 1211-1221, 2010.   DOI
9 K. F. Chen and I. Fong, "Stability analysis and output-feedback stabilization of discrete-time systems with an internal time-varying state delay," IET Control Theory Appl., vol. 4, no. 4, pp. 563-572, 2010.   DOI
10 F. Mazenc, S. Mondie, and R. Francisco, "Global asymptotic stabilization of feedforward systems with delay in the input," IEEE Trans. on Automatic Control, vol. 49, no. 5, pp. 844-850, May 2004.   DOI
11 H. L. Choi and J. T. Lim, "Asymptotic Stabilization of an input-delayed chain of integrators with nonlinearity," Systems & Control Letters, vol. 59, pp. 374-379, 2010.   DOI