Semi-global stabilization of linear time-delay systems with control energy constraint

Automatica

Volumn 48, Issue 4, 2012, Pages 694-698

  Zhou, Bin ^a   Lin, Zongli ^b   Lam, James ^c  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF VIRGINIA   (United States)

^c UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

L 2 low gain feedback; Energy constraints; Semi global stabilization; Time delay systems

Indexed keywords

CIRCULAR ORBIT; CONTROL ENERGY; ENERGY CONSTRAINT; INPUT DELAYS; LINEAR TIME-DELAY SYSTEM; LINEARIZED MODELS; LYAPUNOV EQUATION; NULL CONTROLLABILITY WITH VANISHING ENERGY; ORBIT PLANES; RELATIVE MOTION; SEMI-GLOBAL STABILIZATION; TIME-DELAY SYSTEMS;

DELAY CONTROL SYSTEMS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; SPACECRAFT; STABILIZATION;

TIME DELAY;

EID: 84858152893     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2012.01.011     Document Type: Article

References (20)

1. J. Chen, G. Gu, and C.N. Nett A new method for computing delay margins for stability of linear delay systems Systems & Control Letters 26 2 1995 107 117
2. K. Gu, and Y. Liu LyapunovKrasovskii functional for uniform stability of coupled differentialfunctional equations Automatica 45 3 2009 798 804
3. J.K. Hale Theory of functional differential equations Applied mathematical sciences Vol. 3 1977 Springer New York
4. T. Hu, and Z. Lin Control systems with actuator saturation: analysis and design 2001 Birkhauser Basel
5. A. Ichikawa Null controllability with vanishing energy for discrete-time systems Systems & Control Letters 57 2008 34 38 (Pubitemid 350087247)
6. G. Kaliora, and A. Astolfi Nonlinear control of feedforward systems with bounded signals IEEE Transactions on Automatic Control 49 11 2004 1975 1990
7. Z. Lin Low gain feedback 1998 Springer London
8. Z. Lin, and H. Fang On asymptotic stabilizability of linear systems with delayed input IEEE Transactions on Automatic Control 52 6 2007 998 1013 (Pubitemid 47034027)
9. W. Liu, Y. Chitour, and E. Sontag On finite gain stabilizability of linear systems subject to input saturation SIAM Journal on Control and Optimization 34 1996 1190 1219 (Pubitemid 126562709)
10. F. Mazenc, S. Mondie, and S.-I. Niculescu Global asymptotic stabilization for chains of integrators with a delay in the input IEEE Transactions on Automatic Control 48 1 2003 57 63
11. M.E. Polites Technology of automated rendezvous and capture in space Journal of Spacecraft and Rockets 36 2 1999 280 291
12. E. Priola, and J. Zabczyk Null controllability with vanishing energy SIAM Journal on Control and Optimization 42 3 2003 1013 1032
13. H.J. Sussmann, E.D. Sontag, and Y. Yang A general result on the stabilization of linear systems using bounded controls IEEE Transactions on Automatic Control 39 12 1994 2411 2425
14. S. Tarbouriech, and J.M.G. da Silva Jr. Synthesis of controllers for continuous-time delay systems with saturating controls via LMI's IEEE Transactions on Automatic Control 45 1 2000 105 111 (Pubitemid 30581593)
15. A.R. Teel Global stabilization and restricted tracking for multiple integrators with bounded controls Systems & Control Letters 18 3 1992 165 171
16. K. Yakoubi, and Y. Chitour Linear systems subject to input saturation and time delay: global asymptotic stabilization IEEE Transactions on Automatic Control 52 5 2007 874 879 (Pubitemid 46796073)
17. H∞ prediction for continuous-time systems with application to systems with delayed measurements Automatica 40 7 2004 1253 1261
18. B. Zhou, Z. Lin, and G. Duan Properties of the parametric Lyapunov equation based low gain design with applications in stabilization of time-delay systems IEEE Transactions on Automatic Control 54 7 2009 1698 1704
19. B. Zhou, Z. Lin, and G. Duan Stabilization of linear systems with delayed and saturating inputa parametric Lyapunov equation approach International Journal of Robust and Nonlinear Control 20 2010 1502 1519
20. 2 low gain feedback: their properties, characterizations and applications in constrained control IEEE Transactions on Automatic Control 56 5 2011 1030 1045