On practical stabilization of systems with delayed relay control

Automation and Remote Control

Volumn 71, Issue 11, 2010, Pages 2331-2344

  Polyakov, A E ^a  

^a TRAPEZNIKOV INSTITUTE OF CONTROL SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATION; CONTROL;

EXISTENCE CONDITIONS; LINEAR PLANTS; PRACTICAL STABILIZATION; RELAY CONTROL; SEMI-GLOBAL; STABILIZING CONTROL;

STABILIZATION;

EID: 78650033313     PISSN: 00051179     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0005117910110068     Document Type: Article

References (18)

1. Tsypkin, Ya.Z., Teoriya releinykh sistem upravleniya (Theory of Relay Control Systems), Moscow: Gostekhizdat, 1955.
2. Emel'yanov, S.V. and Korovin, S.K., Novye tipy obratnoi svyazi. Upravlenie pri neopredelennosti (New Types of Feedback. Control under Uncertainty), Moscow: Nauka, 1997.
3. S.-B. Choi J.K. Hedrick 1996 Robust Throttle Control of Automotive Engines ASME J. Dynam. Syst., Measurement, Control 118 92 98 0849.93050 10.1115/1.2801156
4. Utkin, V.I., Guldner, J., and Shi, J., Sliding Modes in Electromechanical Systems, London: Taylor and Francis, 1999.
5. Malek-Zaverei, M. and Jamshidi, M., Time Delay Systems: Analysis, Optimization and Applications, Ser. Syst. Control, Amsterdam: North-Holland, 1987.
6. L.M. Fridman E.M. Fridman E.I. Shustin 1993 Stable Modes in Autonomous Equations with Discontinuity and Delay Differ. Uravn. 29 8 1340 1346 1281257
7. Y.H. Roh J.H. Oh 1999 Robust Stabilization of Uncertain Input Delay Systems by Sliding Mode Control with Delay Compensation Automatica 35 1861 1865 0931.93015 10.1016/S0005-1098(99)00106-5 1831769 (Pubitemid 32078098)
8. Loukianov, A.G., Espinosa-Guerra, O., Castillo-Toledo, B., and Utkin, V.A., Integral Sliding Mode Control for Systems with Time Delay, in Proc. 9 Int. Workshop Variable Structur. Syst., Alghero, 2006, pp. 256-261. (Pubitemid 44931064)
9. Fridman, L., Acosta, P., and Polyakov, A., Robust Eigenvalue Assignment for Uncertain Delay Control Systems, in Proc. 3rd IFAC Workshop Time Delay Syst., Santa Fe, 2001, pp. 239-244.
10. K.N. Sing 2001 Comments on Robust Stabilization of Uncertain Input Delay Systems by Sliding Mode Control with Delay Compensation Automatica 37 1677 1136.93435 10.1016/S0005-1098(01)00124-8 (Pubitemid 32737025)
11. V.V. Strygin L.M. Fridman A.E. Polyakov 2001 Local Stabilization of Relay Systems with Delay Dokl. Ross. Akad. Nauk 379 5 603 605 1864619
12. L. Fridman V. Strygin A. Polyakov 2004 Nonlocal Stabilization via Delayed Relay Control Rejecting Uncertainty in a Time Delay Int. J. Robust Nonlin. Control 14 15 37 1051.93085 10.1002/rnc.863 2026564
13. E. Shustin L. Fridman E. Fridman F. Castaños 2008 Robust Semiglobal Stabilization of the Second Order System by Relay Feedback with an Uncertain Variable Time Delay SIAM J. Control Optim. 47 1 196 217 1172.34053 10.1137/060673333 2373468
14. Isidori, A., Nonlinear Control Systems, New York: Springer-Verlag, 1995.
15. Polyak, B.T. and Shcherbakov, P.S., Robastnaya ustoichivost' i upravlenie (Robust Stability and Control), Moscow: Nauka, 2002.
16. Balandin, D.V. and Kogan, M.M., Sintez zakonov upravleniya na osnove lineinykh matrichnykh neravenstv (Design of the Control Laws on the Basis of Linear Matrix Inequalities), Moscow: Fizmatlit, 2007.
17. Poznyak, A., Advanced Mathematical Tools for Automatic Control Engineers: Deterministic Technique, Oxford: Elsevier, 2008, vol. I.
18. A.V. Beznos A.A. Grishin A.V. Lenskii, et al. 2003 Wheel-controlled Pendulum Dokl. Ross. Akad. Nauk 392 6 743 749 2081511