Oscillations and transfer properties of relay servo systems - The locus of a perturbed relay system approach

Automatica

Volumn 41, Issue 4, 2005, Pages 677-683

  Boiko, Igor ^a  

^a SNC LAVALIN INC   (Canada)

Author keywords

Bang bang control; Chattering; Relay feedback systems; Servosystems; Sliding modes

Indexed keywords

BANG BANG CONTROL SYSTEMS; FEEDBACK CONTROL; FREQUENCY RESPONSE; NONLINEAR SYSTEMS; OSCILLATIONS; PULSE WIDTH MODULATION; RELAY CONTROL SYSTEMS; SIGNAL PROCESSING;

CHATTERING; RELAY FEEDBACK SYSTEMS; SERVOSYSTEMS; SIGNAL PROPAGATION; SLIDING MODES;

SERVOMECHANISMS;

EID: 13944279253     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2004.11.002     Document Type: Article

References (32)

1. K.J. Astrom Oscillations in systems with relay feedback The IMA Volumes in Mathematics and its Applications Adaptive Control, Filtering and Signal Processing 74 1995 1 25
2. K.J. Astrom, K.H. Johanson, and A. Rantzer Fast switches in relay feedback systems Automatica 35 1999 539 552
3. Astrom, K. J., Lee, T. H., Tan, K. K., & Johansson, K. H. (1995). Recent advances in relay feedback methods - a survey. Intelligent systems for the 21st Century, 1995 IEEE International conference on systems, man and cybernetics (Vol. 3, pp. 2616-2621).
4. Atherton, D. P. (1975). Nonlinear control engineering - describing function analysis and design, Workingham, Berks, UK: Van Nostrand Company Limited.
5. Di Bernardo, M., Johansson, K. H., & Vasca, F. (1999). Sliding orbits and their bifurcations in relay feedback systems. Proceedings of the 38th IEEE conference on decision and control (Vol. 1, pp. 708-713).
6. M. Di Bernardo, K.H. Johansson, and F. Vasca Self oscillations in relay feedback systems symmetry and bifurcations International Journal of Bifurcations and Chaos 11 4 2001 1121 1140
7. Bilharz, H. (1942). Uber eine gesteuerte eindimensionale Bewegung, Zeitschrift fur Angewandte Mathematik und Mechanik, 22.
8. Boiko, I. (1999). Input-output analysis of limit cycling relay feedback control systems. Proceedings of the 1999 American control conference, San Diego, CA, USA, pp. 542-546.
9. Boiko, I. (2000). Application of the locus of a perturbed relay system to chattering mode relay control design. Proceedings of the 2000 American control conference, Chicago, IL, USA (pp. 1235-1239).
10. Boiko, I. (2003). Autotune identification via the locus of a perturbed relay system approach. Proceedings of the 2003 American control conference, Denver, CO, USA (pp. 4385-4390).
11. Bromberg, P. V. (1953). Stability and self-existed oscillations of impulse control systems, Oborongiz (in Russian).
12. Fely, O. & Fitzgerald, D. (1996). Bandpass sigma-delta modulation: an analysis from the perspective of nonlinear dynamics, Piscataway, NJ: IEEE (pp. 146-149).
13. I. Flugge-Lotz Discontinuous automatic control 1953 Princeton University Press Princeton, NJ
14. L. Fridman An averaging approach to chattering IEEE Transaction on Automatic Control 46 8 2001 1260 1264
15. L. Fridman Singularly perturbed analysis of chattering in relay control systems IEEE Transactions on Automatic Control 47 12 2002 2079 2084
16. L. Fridman Chattering analysis in sliding mode systems with inertial sensors International Journal of Control 76 9-10 2003 906 912
17. L.S. Goldfarb On the theory of vibrational regulators Automation and remote control IV 6 1948 413 431 (in Russian)
18. J.M. Goncalves, A. Megretski, and M.A. Dahleh Global stability of relay feedback systems IEEE Transactions on automatic control 46 4 2001 550 562
19. Hamel, B. (1949). Contribution a l'etude mathematique des systemes de reglage par tout-ou-rien, C.E.M.V., No. 17, Service Technique Aeronautique.
20. J.C. Hsu, and A.U. Meyer Modern control principles and applications 1968 McGraw-Hill New York
21. Levant, A. (2000). Higher order sliding: differentiation and black-box control. 2000 Proceedings of the 39th IEEE conference on decision and control, Vol. 2 (pp. 1703-1708).
22. L.A. MacColl Fundamental Theory of Servomechanisms 1945 D Van Nostrand Co. New York
23. C.D. Mitrovski, and L.M. Kocarev Periodic trajectories in piecewise-linear maps IEEE Transactions on Circuits and Systems 48 10 2001 1244 1246
24. Y.I. Neimark Point mapping method in the nonlinear oscillations theory 1973 Moscow Nauka
25. Pospelov, G. S. (1969). Relay control systems, in automatic control theory, 3(2), Mashinostroyenie, Moscow (in Russian).
26. W. Qing-Guo, H. Chang-Chieh, and B. Qiang A technique for frequency response identification from relay feedback IEEE Transactions on Control Systems Technology 7 1 1999 122 128
27. S.A. Rudnev, and N.V. Faldin Linearization of relay servo system with respect to control signal Russian Academy of Sciences, Transactions on Control and Control Systems 2 1998 36 43 (in Russian)
28. Shtessel, Y. B. & Young-Ju, L. (1996). New approach to chattering analysis in systems with sliding modes. Proceedings of the 35th IEEE conference on decision and control (Vol. 4, 4014-4019).
29. Ya.Z. Tsypkin Relay control systems 1984 Cambridge England
30. V. Utkin Sliding modes in control and optimization 1992 Springer Berlin
31. S. Varigonda, and T.T. Georgiou Dynamics of relay relaxation oscillators IEEE Transactions on Automatic Control 46 1 2001 65 77
32. K.D. Young, V.I. Utkin, and U. Ozguner A control engineer's guide to sliding mode control IEEE Transactions on Control System Technology 7 1999 328 342