Title :
Second order steady modes in the relay control systems with time delay
Author :
Fridman, Leonid ; Fridman, Emilia ; Shustin, Evgenii
Author_Institution :
Dept. of Math., Samara State Archit. & Civil Eng., Russia
Abstract :
The second order relay control systems with delay (SORCSD) are considered. It is shown that the average frequency of any oscillatory solution of SORCSD after a finite time interval becomes a constant. We give sufficient conditions for the existence of periodic oscillations in SORCSD for any frequency, and sufficient conditions for the orbital asymptotic stability of periodic oscillations with the minimal (zero) average frequency
Keywords :
asymptotic stability; delays; oscillations; relay control; stability criteria; time-varying systems; SORCSD; minimal average frequency; orbital asymptotic stability; oscillatory solution; periodic oscillations; relay control systems; second order steady modes; sufficient conditions; time delay; zero average frequency; Asymptotic stability; Control systems; Control theory; Delay effects; Delay systems; Equations; Extraterrestrial measurements; Frequency; Relays; Sliding mode control;
Conference_Titel :
Variable Structure Systems, 1996. VSS '96. Proceedings., 1996 IEEE International Workshop on
Conference_Location :
Tokyo
Print_ISBN :
0-7803-3718-2
DOI :
10.1109/VSS.1996.578570
