Robust H∞ Output-Feedback Synthesis Optimal Control to Uncertain Time-Varying Delay System with Genetic Algorithm

Article Preview

Abstract:

This paper explores the robust stability and H∞ control performance index of uncertain system with time-varying delay. The output feedback H∞ controller is constituted at the finite uncertain limit. The condition of delay-independence for the system with asymptotic stable and perturbation sustaining is derived as LMI formulation. The optimum control problem of uncertain time-delay system with H-infinite output feedback is presented. The stability and exogenous disturbance constraint synthesis is performed by chaos and genetic algorithm. The genetic algorithm based optimization approach is developed for extracting the upper bound of the performance index. Experiment results suggest that the H∞ output feedback control law is less conservative and possesses much high stabilization and optimization performance.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

853-858

Citation:

Online since:

December 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Hansheng Hu. Adaptive stabilizing state feedback controllers of uncertain dynamical systems with multiple time delays. IEEE Trans. On Automatic Control. 2000;45:1697–1701.

DOI: 10.1109/9.880623

Google Scholar

[2] E Cheres, S Gutman and Z Palmor. Stabilization of uncertain dynamic systems including state delay. IEEE Trans. On Automatic Control. 1989; 34:1199–1203.

DOI: 10.1109/9.40753

Google Scholar

[3] J Ge, P Frank and Z Palmor. control via output feedback for state delayed systems. Int. J. Control. 1996;64:1–7.

Google Scholar

[4] S Oucheriah. Adaptive robust control of class of dynamic delay systems with unknown uncertainty bounds. Int. J. Adaptive Control Signal Proceing. 2001;15:53–63.

DOI: 10.1002/1099-1115(200102)15:1<53::aid-acs627>3.0.co;2-e

Google Scholar

[5] W M Haddad, T Haykawa and V Chellaboina. Robust adaptive control for nonlinear uncertain systems. Automatica 2003;39:551–6.

DOI: 10.1016/s0005-1098(02)00244-3

Google Scholar

[6] O M Kmon and Ju H Park. On improved delay-dependent Robust control for uncertain time-delay systems. IEEE Trans. On Automatic Control. 2004;49:1191–95.

DOI: 10.1109/tac.2004.837563

Google Scholar

[7] X Jiao and T Shen. Adaptive feedback control of non-linear time-delay systems: the Lasalle-Razumikhin-based approach. IEEE Trans. On Automatic Control. 2005;50:1909–13.

DOI: 10.1109/tac.2005.854652

Google Scholar

[8] M Sun and Y Jia. Delay-dependent robust control of time-delay systems. IET Control Theory Application. 2010;4:1122–30.

DOI: 10.1049/iet-cta.2008.0415

Google Scholar

[9] Li Yu. Robust control ---processing method of linear matrix inequality. Beijing: Tsinghua University Publisher; 2002.

Google Scholar

[10] Z Zhang, S Xu and Y Chu. Adaptive stabilization for a class of non-linear state time-varying delay systems with unknown time-delay bound. IET Control Theory Application. 2010;4:1905–13.

DOI: 10.1049/iet-cta.2009.0414

Google Scholar

[11] K F Chen and I K Fong. Stability analysis and output-feedback stabilization of discrete-time systems with a time-varying state delay and nonlinear perturbation. Asian Journal of Control. 2010;4.

DOI: 10.1002/asjc.209

Google Scholar