The phenomenon of the second order steady modes in the relay control systems with time delay

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 3049-3052

  Fridman, L M ^a   Fridman, E M ^b   Shustin, E I ^b  

^a Samara State Architecture and Civil Engineering Academy 443109   (Russian Federation)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

Delay systems; Nonlinear dynamics; Variable structure systems

Indexed keywords

DYNAMICS; ELECTRIC RELAYS; RELAY CONTROL SYSTEMS; TIME DELAY; TIMING CIRCUITS;

ASYMPTOTICALLY STABLE; CONSTANT FREQUENCY; DELAY SYSTEMS; FINITE TIME INTERVALS; NONNEGATIVE INTEGERS; OSCILLATORY SOLUTIONS; PERIODIC SOLUTION; VARIABLE STRUCTURE SYSTEM;

DELAY CONTROL SYSTEMS;

EID: 84949111732     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082576     Document Type: Conference Paper

References (13)

1. Bartolini G., Caputo W., Cecchi M., Ferrara A., Fridman L., "Vibration damping in an elastic robotic structure via sliding modes", Submitted in ASME J. of Dynamic Sytems, Measurement and Control, (1997).
2. Choi S.-B., Hedrick K., "Robust Throttle Control of Automotive Engines: Theory and Experiment." ASME J. of Dynamic Sytems, Measurement and Control. V. 118, N. 1:92-98, (1996).
3. Drakunov S. V., Utkin V. I., "Sliding mode control in dynamic systems", Int. Journal of Control, V. 55, N. 4:1029-1037, (1992).
4. Fridman L., Fridman E., Shustin E., "Steady modes in an autonomous system with break and delay", Differential Equations (Moscow), V. 29, N. 8, 1161-1166, (1993).
5. Fridman L., Levant A., "Higher order sliding modes as the natural phenomenon in control theory", In.: Robust Control via variable structure and Lyapunov techniques. Ed. by F. Garafalo and L. Glielmo. Lecture Notes in Control and Information Science. No. 217, Springer - Verlag, pp. 107-134, (1996).
6. Kolmanoskii V., Myshkis A., "Applied Theory of Functional Differential Equations", Kluwer Academic Publishers, Dodrecht, (1992).
7. Mallet-Paret. J., "Morse decomposition for delay - differential equations". J. Differential Equations, V. 72, 270-315, (1988).
8. Mallet-Paret J., Nussbaum R. D., "Boundary layer phenomena for differential-delay equations with state-dependent time lags, I", Arch. Rational Mechanics and Analysis, V.120, 99-146, (1992).
9. Moskwa J. J., Hedrick K., "Sliding mode control of automotive engines", Proc. of the American Contr. Conf, V. 2,: 1040-1045, (1992).
10. Peters H.", Comportement chaotique d'une équation differentielle retardée", C. R. Acad. Sci. Paris, V. 290, 1119-1122, (1980).
11. Shustin E., Fridman E., Fridman L.", Adaptive delay control of relay type in autonomous and periodic systems." Proceedings of the Second European Control Conference, Groningen, V. 4, 2212-2215, (1993).
12. Shustin E., Fridman E., Fridman L., "Steady modes in a discontinuous control system with time delay", Pure Math. Appl. (Budapest), V. 4, 59-73, (1993).
13. Utkin V. I., "Sliding modes in control and optimization", Springer, Berlin, (1991).