Delay-adaptive feedback for linear feedforward systems

Systems and Control Letters

Volumn 59, Issue 5, 2010, Pages 277-283

  Bekiaris Liberis, Nikolaos ^a   Krstic, Miroslav ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Adaptive control; Delays systems; Feedforward systems

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE CONTROLLERS; ADAPTIVE FEEDBACK; CERTAINTY EQUIVALENCE; CONTROL DESIGN; DESIGN VALUE; EXPLICIT FEEDBACK; FEEDFORWARD LINEAR SYSTEMS; FEEDFORWARD SYSTEMS; GLOBAL STABILITY; INITIAL ESTIMATE; LYAPUNOV; RECURSIVE APPLICATIONS; STATE AND INPUT DELAYS; STATE DELAY;

DESIGN; FEEDBACK; LINEAR SYSTEMS; STATE FEEDBACK;

ADAPTIVE CONTROL SYSTEMS;

EID: 77953286439     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2010.03.001     Document Type: Article

References (38)

1. Artstein Z. Linear systems with delayed controls: a reduction. IEEE Transactions on Automatic Control 27 (1982) 869-879
2. Fiagbedzi Y.A., and Pearson A.E. Feedback stabilization of linear autonomous time lag systems. IEEE Transactions on Automatic Control 31 (1986) 847-855
3. M. Jankovic, Forwarding, backstepping, and finite spectrum assignment for time delay systems, in: 2006 American Control Conference, Minneapolis, Minnesota, 2006.
4. M. Jankovic, Recursive predictor design for linear systems with time delay, in: 2008 American Control Conference, Seattle, Washington, 2008.
5. Krstic M. On compensating long actuator delays in nonlinear control. IEEE Transactions on Automatic Control 53 (2008) 1684-1688
6. Krstic M. Input delay compensation for forward complete and feedforward nonlinear systems. IEEE Transactions on Automatic Control 55 (2010) 287-303
7. Kwon W.H., and Pearson A.E. Feedback stabilization of linear systems with delayed control. IEEE Transactions on Automatic Control 25 (1980) 266-269
8. Mondie S., and Michiels W. Finite spectrum assignment of unstable time-delay systems with a safe implementation. IEEE Transactions on Automatic Control 48 (2003) 2207-2212
9. Olbrot A.W. Stabilizability, detectability, and spectrum assignment for linear autonomous systems with general time delays. IEEE Transactions on Automatic Control 23 (1978) 887-890
10. N. Bekiaris-Liberis, M. Krstic, On stabilizing strict-feedback linear systems with delayed integrators, in: 2009 Mediterranean Conference on Control and Automation, Thessaloniki, Greece, 2009.
11. Loiseau J.J. Algebraic tools for the control and stabilization of time-delay systems. Annual Reviews in Control 24 (2000) 135-149
12. Manitius A.Z., and Olbrot A.W. Finite spectrum assignment for systems with delays. IEEE Transactions on Automatic Control 24 (1979) 541-553
13. Watanabe K., Nobuyama E., Kitamori T., and Ito M. A New Algorithm for Finite Spectrum Assignment of Single-Input Systems with Time Delay. IEEE Transactions on Automatic Control 37 (1992) 1377-1383
14. Diop S., Kolmanovsky I., Moraal P.E., and van Nieuwstadt M. Preserving stability/performance when facing an unknown time-delay. Control Engineering Practice 9 (2001) 1319-1325
15. Krstic M., and Banaszuk A. Multivariable adaptive control of instabilities arising in jet engines. Control Engineering Practice 14 (2006) 833-842
16. Richard J.-P. Time-delay systems: an overview of some recent advances and open problems. Automatica 39 (2003) 1667-1694
17. Evesque S., Annaswamy A.M., Niculescu S., and Dowling A.P. Adaptive control of a class of time-delay systems. ASME Transactions on Dynamics, Systems, Measurement, and Control 125 (2003) 186-193
18. Niculescu S.-I., and Annaswamy A.M. An adaptive Smith- controller for time-delay systems with relative degree n ≥ 2. Systems and Control Letters 49 (2003) 347-358
19. D. Bresch-Pietri, Miroslav Krstic, Delay-adaptive full-state predictor feedback for systems with unknown long actuator delay, in: 2009 American Control Conference, St. Louis, Missouri, 2009.
20. Bresch-Pietri D., and Krstic M. Adaptive trajectory tracking despite unknown input delay and plant parameters. Automatica 45 (2009) 2074-2081
21. Krstic M., and Smyshlyaev A. Adaptive boundary control for unstable parabolic PDEs-Part I: Lyapunov design. IEEE Transactions on Automatic Control 53 (2008) 1575-1591
22. Bhat K.P., and Koivo H.N. Model characterization of controllability and observability in time-delay systems. IEEE Transactions on Automatic Control 21 2 (1976) 292-293
23. Liu W.-J., and Krstic M. Adaptive control of Burgers' equation with unknown viscosity. International Journal of Adaptive Control and Signal Processing 15 (2001) 745-766
24. Gu K., and Niculescu S.-I. Survey on recent results in the stability and control of time-delay systems. ASME Transactions on Dynamics, Systems, Measurement, and Control 125 (2003) 158-165
25. Jankovic M. Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems. IEEE Transactions on Automatic Control 46 (2001) 1048-1060
26. M. Jankovic, Control of nonlinear systems with time delay, in: 2003 IEEE Conference on Decision and Control, Maui, Hawai, 2003.
27. M. Jankovic, Control of cascade systems with time delay-The integral cross-term approach, in: 2006 IEEE Conference on Decision and Control, San Diego, CA, 2006.
28. Karafyllis I. Finite-time global stabilization by means of time-varying distributed delay feedback. Siam Journal on Control and Optimization 45 1 (2006) 320-342
29. I. Karafyllis, Z.P. Jiang, Control Lyapunov functionals and robust stabilization of nonlinear time-delay systems, in: 2008 IEEE Conference on Decision and Control, Cancun, Mexico, 2008.
30. Krstic M., and Smyshlyaev A. 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
31. Mazenc F., Mondie S., and Niculescu S.I. Global asymptotic stabilization for chains of integrators with a delay in the input. IEEE Transactions on Automatic Control 48 1 (2003) 57-63
32. Mazenc F., Mondie S., and Francisco R. Global asymptotic stabilization of feedforward systems with delay at the input. IEEE Transactions on Automatic Control 49 (2004) 844-850
33. Mazenc F., and Bliman P.-A. Backstepping design for timedelay nonlinear systems. IEEE Transactions on Automatic Control 51 (2004) 149-154
34. Mirkin L. On the approximation of distributed-delay control laws. Systems and Control Letters 51 (2004) 331-342
35. Smith O.J.M. A controller to overcome dead time. ISA Transactions 6 (1959) 28-33
36. Zhong Q.-C., and Mirkin L. Control of integral processes with dead time-Part 2: quantitative analysis. IEE Proceedings-Control Theory and Applications 149 (2002) 291-296
37. Zhong Q.-C. On distributed delay in linear control laws-Part I: discrete-delay implementation. IEEE Transactions on Automatic Control 49 (2006) 2074-2080
38. Zhong Q.-C. Robust Control of Time-delay Systems (2006), Springer