Stabilization of linear strict-feedback systems with delayed integrators

Automatica

Volumn 46, Issue 11, 2010, Pages 1902-1910

  Bekiaris Liberis, Nikolaos ^a   Krstic, Miroslav ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Delay systems; Predictor; Strict feedback systems

Indexed keywords

BACKSTEPPING APPROACH; DELAY SYSTEMS; EXPONENTIAL STABILITY; EXPONENTIAL STABILIZATION; FEED-FORWARD; FEEDBACK CONTROLLER; FEEDBACK FORMS; INPUT DELAYS; LYAPUNOV-KRASOVSKII FUNCTIONALS; PREDICTOR; STATE DELAY; STRICT FEEDBACK SYSTEMS; UNSTABLE LINEAR SYSTEMS; UNSTABLE SYSTEM;

FEEDBACK; FEEDBACK CONTROL; LINEAR SYSTEMS; STABILIZATION; STATE FEEDBACK;

BACKSTEPPING;

EID: 78049251259     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2010.07.008     Document Type: Article

References (35)

1. Z. Artstein Linear systems with delayed controls: a reduction IEEE Transactions on Automatic Control 27 1982 869 879
2. N. Bekiaris-Liberis, and M. Krstic Delay-adaptive feedback for linear feedforward systems Systems and Control Letters 59 2010 277 283
3. D. Bresch-Pietri, and Miroslav Krstic Delay-adaptive full-state predictor feedback for systems with unknown long actuator delay American Control Conference 2009
4. D. Bresch-Pietri, and Miroslav Krstic Adaptive trajectory tracking despite unknown input delay and plant parameters Automatica 45 2009 2074 2081
5. S. Evesque, A.M. Annaswamy, S. Niculescu, and A.P. Dowling Adaptive control of a class of time-delay systems ASME Transactions on Dynamics, Systems, Measurement, and Control 125 2003 186 193
6. Y.A. Fiagbedzi, and A.E. Pearson Feedback stabilization of linear autonomous time lag systems IEEE Transactions on Automatic Control 31 1986 847 855
7. J.K. Hale, and S.M. Verduyn Lunel Introduction to functional differential equations 1993 Springer-Verlag New York
8. M. Jankovic Control LyapunovRazumikhin functions and robust stabilization of time delay systems IEEE Transactions on Automatic Control 46 2001 1048 1060
9. M. Jankovic Control of nonlinear systems with time delay IEEE Conference on Decision and Control 2003
10. M. Jankovic Forwarding, backstepping, and finite spectrum assignment for time delay systems Automatica 45 1 2009 2 9
11. M. Jankovic Cross-term forwarding for systems with time delay IEEE Transactions on Automatic Control 54 3 2009 498 511
12. M. Jankovic Recursive predictor design for state and output feedback controllers for linear time delay systems Automatica 46 3 2010 510 517
13. I. Karafyllis Finite-time global stabilization by means of time-varying distributed delay feedback SIAM Journal on Control and Optimization 45 1 2006 320 342
14. Karafyllis, I., & Jiang, Z. P. (2008). Necessary and sufficient Lyapunov-like conditions for robust nonlinear stabilization. ESAIM Control, Optimization and Calculus of Variations, in press, (doi:10.1051/cocv/2009029 ), available at: http://www.esaim-cocv.org/.
15. M. Krstic On compensating long actuator delays in nonlinear control IEEE Transactions on Automatic Control 53 2008 1684 1688
16. M. Krstic Input delay compensation for forward complete and feedforward nonlinear systems IEEE Transactions on Automatic Control 55 2010 287 303
17. M. Krstic, I. Kanellakopoulos, and P.V. Kokotovic Nonlinear and adaptive control design 1995 Wiley
18. M. Krstic, and A. Smyshlyaev Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays Systems and Control Letters 57 2008 750 758
19. W.H. Kwon, and A.E. Pearson Feedback stabilization of linear systems with delayed control IEEE Transactions on Automatic Control 25 1980 266 269
20. W.-J. Liu, and M. Krstic Adaptive control of Burgers' equation with unknown viscosity International Journal of Adaptive Control and Signal Processing 15 2001 745 766
21. J.J. Loiseau Algebraic tools for the control and stabilization of time-delay systems Annual Reviews in Control 24 2000 135 149
22. A.Z. Manitius, and A.W. Olbrot Finite spectrum assignment for systems with delays IEEE Transactions on Automatic Control 24 1979 541 553
23. F. Mazenc, and P.-A. Bliman Backstepping design for time-delay nonlinear systems IEEE Transactions on Automatic Control 51 2004 149 154
24. F. Mazenc, S. Mondie, and R. Francisco Global asymptotic stabilization of feedforward systems with delay at the input IEEE Transactions on Automatic Control 49 2004 844 850
25. 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
26. S. Mondie, and W. Michiels Finite spectrum assignment of unstable time-delay systems with a safe implementation IEEE Transactions on Automatic Control 48 2003 2207 2212
27. S.-I. Niculescu, and A.M. Annaswamy An adaptive Smith-controller for time-delay systems with relative degree n ≤ 2 Systems and Control Letters 49 2003 347 358
28. A.W. Olbrot Stabilizability, detectability, and spectrum assignment for linear autonomous systems with general time delays IEEE Transactions on Automatic Control 23 1978 887 890
29. N. Olgac, and R. Sipahi An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems IEEE Transactions on Automatic Control 47 2002 793 797
30. J.-P. Richard Time-delay systems: an overview of some recent advances and open problems Automatica 39 2003 1667 1694
31. O.J.M. Smith A controller to overcome dead time ISA Transactions 6 1959 28 33
32. K. Watanabe, E. Nobuyama, T. Kitamori, and M. Ito A new algorithm for finite spectrum assignment of single-input systems with time delay IEEE Transactions on Automatic Control 37 1992 1377 1383
33. Y. Yildiray, A. Annaswamy, I.V. Kolmanovsky, and D. Yanakiev Adaptive posicast controller for time-delay systems with relative degree n ≤ 2 Automatica 46 2 2010 279 289
34. Q.-C. Zhong Robust control of time-delay systems 2006 Springer
35. Zhou, J., Wang, W., & Wen, C. (2008). Adaptive backstepping control of uncertain systems with unknown input time delay. In FAC World congress.