Sliding mode control for linear systems with time-varying input and state delays

Circuits, Systems, and Signal Processing

Volumn 30, Issue 3, 2011, Pages 629-641

  Xia, Yuanqing ^a   Yang, Hongjiu ^a   Fu, Mengyin ^a   Shi, Peng ^b,c  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

^c VICTORIA UNIVERSITY   (Australia)

Author keywords

Delay dependent stability; Input state delay; Linear matrix inequality; Sliding mode control

Indexed keywords

DELAY-DEPENDENT; DELAY-DEPENDENT STABILITY; INPUT-STATE DELAY; INVERTED PENDULUM SYSTEM; REACHING LAW; REACHING MOTION; SLIDING MANIFOLDS; SLIDING MODES; STATE DELAY; SUFFICIENT CONDITIONS; TIME VARYING; TIME-VARYING DELAY;

CONTROL SYSTEM STABILITY; LINEAR SYSTEMS; PENDULUMS; SLIDING MODE CONTROL; TIME VARYING CONTROL SYSTEMS;

LINEAR MATRIX INEQUALITIES;

EID: 79960054947     PISSN: 0278081X     EISSN: 15315878     Source Type: Journal    
DOI: 10.1007/s00034-010-9237-x     Document Type: Article

References (26)

1. L. Acho, F. Pozo, Sliding mode control of hysteretic structural systems. Int. J. Innov. Comput. Inf. Control 5(4), 1081-1088 (2009)
2. J. Ackermann, V.I. Utkin, Sliding mode control design based on Ackermann's formula. IEEE Trans. Autom. Control 43(2), 234-237 (1998) (Pubitemid 128736470)
3. M. Bugeja, Non-linear swing-up and stabilizing control of an inverted pendulum system, in Proceedings of IEEE Region 8 EUROCON. Ljubljana, Slovenia, vol. 2 (2006), pp. 437-441
4. H. Gao, T. Chen, New results on stability of discrete-time systems with time-varying state delay. IEEE Trans. Autom. Control 52(2), 328-334 (2007) (Pubitemid 46444290)
5. H. Gao, T. Chen, Network-based H∞ output tracking control. IEEE Trans. Autom. Control 53(3), 655-667 (2008)
6. H. Gao, J. Lam, C. Wang, Delay-dependent output feedback stabilization of discrete-time systems with time-varying state delay. IEE Proc., Control Theory Appl. 151(6), 691-698 (2004) (Pubitemid 40016137)
7. H. Gao, X. Meng, T. Chen, A parameter-dependent approach to robust H∞ filtering for time-delay systems. IEEE Trans. Autom. Control 53(10), 2420-2425 (2008)
8. G. Gouaisbaut, W. Perruquetti, J.P. Richard, A sliding mode control for linear systems with input and state delays, in Proceedings of the 38th Conference on Decision and Control, Phoenix, A2
9. S. Hadd, Q. Zhong, On feedback stabilizability of linear systems with state and input delays in Banach spaces. IEEE Trans. Autom. Control 54(3), 438-451 (2009)
10. L. Levaggi, E. Punta, Analysis of a second-order sliding-mode algorithm in presence of input delays. IEEE Trans. Autom. Control 51(8), 1325-1332 (2006) (Pubitemid 44283235)
11. J. Lian, J. Zhao, G.M. Dimirovski, Model reference adaptive integral sliding mode control for switched delay systems. Int. J. Innov. Comput. Inf. Control 4(8), 2025-2032 (2008)
12. A.B. Proca, A. Keyhani, J.M. Miller, Sensorless sliding mode control of induction motors using operating condition dependent models. IEEE Trans. Energy Convers. 18(2), 205-212 (2003)
13. P. Shi, Y. Xia, G.P. Liu, D. Rees, On designing of sliding-mode control for stochastic jump systems. IEEE Trans. Autom. Control 51(1), 97-103 (2006) (Pubitemid 43137935)
14. V.I. Utkin, Variable structure systems with sliding modes. IEEE Trans. Autom. Control 22(2), 212-222 (1977)
15. Z. Wang, P. Goldsmith, D. Tan, Improvement on robust control of uncertain systems with time-varying input delays. IET Control Theory Appl. 1(1), 189-194 (2007) (Pubitemid 46104222)
16. Y. Xia, Y. Jia, Robust sliding-mode control for uncertain time-delay systems: an LMI approach. IEEE Trans. Autom. Control 48(6), 1086-1091 (2003)
17. Y. Xia, G.P. Liu, P. Shi, J. Chen, D. Rees, J. Liang, Sliding mode control of uncertain linear discrete time systems with input delay. IET Control Theory Appl. 1(4), 1169-1175 (2007) (Pubitemid 46990275)
18. H. Xing, D. Li, X. Zhong, Sliding mode control for a class of parabolic uncertain distributed parameter systems with time-varying delays. Int. J. Innov. Comput. Inf. Control 5(9), 2689-2702 (2009)
19. S. Xu, T. Chen, Robust H∞ control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers. Syst. Control Lett. 51(3-4), 171-183 (2004)
20. D. Yue, Robust stabilization of uncertain systems with unknown input delay. Automatica 40(2), 331-336 (2004)
21. D. Yue, Q. Han, Delayed feedback control of uncertain systems with time-varying input delay. Automatica 41(2), 233-240 (2005) (Pubitemid 41536573)
22. D. Yue, J. Lam, Stabilising controller design for uncertain systems with time-varying input delay. IEE Proc., Control Theory Appl. 151(6), 699-705 (2004) (Pubitemid 40016138)
23. H.C. Yu, T.S. Liu, Output feedback sliding mode control for a linear focusing actuator in digital video cameras. IEEE Trans. Magn. 43(11), 4048-4050 (2007)
24. X. Zhang, M. Wu, J. She, Y. He, Delay-dependent stabilization of linear systems with time-varying state and input delays. Automatica 41(8), 1405-1412 (2005) (Pubitemid 40774096)
25. H. Zhang, L. Xie, G. Duan, H∞ control of discrete-time systems with multiple input delays. IEEE Trans. Autom. Control 52(2), 271-283 (2007) (Pubitemid 46444281)
26. M. Zhang, Z. Yu, H. Huan, Y. Zhou, The sliding mode variable structure control based on composite reaching law of active magnetic bearing. ICIC Express Lett. 2(1), 59-63 (2008)