Sliding-mode control for uncertain neutral delay systems

作者: Y. Niu , J. Lam , X. Wang

DOI: 10.1049/IP-CTA:20040009

关键词: Sliding mode controlMathematicsState (functional analysis)Regular polygonControl theorySurface (mathematics)Exponential stabilityMatrix (mathematics)Current (mathematics)Stability theory

摘要: The problem of sliding-mode control for a class neutral delay systems with uncertainties in both the state matrices and input matrix is considered. By selecting sliding surface depending on current delayed state, paper gives sufficient condition terms linear inequalities (LMIs) such that closed-loop system guaranteed to be asymptotically stable. When LMIs are feasible, design law can easily obtained by convex optimisation. State trajectories attracted onto finite time remain there all subsequent time. A simulation illustrates application method.

参考文章(15)
Shengyuan Xu, J. Lam, Chengwu Yang, H/sub /spl infin// and positive-real control for linear neutral delay systems IEEE Transactions on Automatic Control. ,vol. 46, pp. 1321- 1326 ,(2001) , 10.1109/9.940943
S. Tarbouriech, G. Garcia, Stabilization of neutral linear time-delay systems with saturating actuators conference on decision and control. ,vol. 2, pp. 2011- 2016 ,(1999) , 10.1109/CDC.1999.830934
J.D. Chen, J.H. Chou, K.K. Fan, C.H. Lien, Criteria for asymptotic stability of a class of neutral systems via a LMI approach IEE Proceedings - Control Theory and Applications. ,vol. 148, pp. 442- 447 ,(2001) , 10.1049/IP-CTA:20010772
F. Gouaisbaut, M. Dambrine, J.P. Richard, Robust control of delay systems: a sliding mode control design via LMI Systems & Control Letters. ,vol. 46, pp. 219- 230 ,(2002) , 10.1016/S0167-6911(01)00199-2
Reyad El-Khazali, Variable structure robust control of uncertain time-delay systems Automatica. ,vol. 34, pp. 327- 332 ,(1998) , 10.1016/S0005-1098(97)00200-8
Shengyuan Xu, James Lam, Chengwu Yang, Erik I. Verriest, An LMI approach to guaranteed cost control for uncertain linear neutral delay systems International Journal of Robust and Nonlinear Control. ,vol. 13, pp. 35- 53 ,(2003) , 10.1002/RNC.699
J. Hu, H. Su, J. Chu, SMVSC for a class of time-delay uncertain systems with mismatching uncertainties IEE Proceedings - Control Theory and Applications. ,vol. 147, pp. 687- 693 ,(2000) , 10.1049/IP-CTA:20000802
Haibo Wang, James Lam, Shengyuan Xu, Shoudong Huang, Robust H ∞ reliable control for a class of uncertain neutral delay systems International Journal of Systems Science. ,vol. 33, pp. 611- 622 ,(2002) , 10.1080/00207720210136667