Title :
On a second order discontinuous control system with delayed input
Author :
Levaggi, Laura ; Punta, Elisabetta
Author_Institution :
Genoa Univ., Italy
Abstract :
In this paper the behaviour of a double integrator system with delayed input controlled by a sub-optimal second order sliding mode control law is investigated. Due to the input delay, in the limit the system trajectories are periodic. Whenever the control modulus is chosen to be constant, the amplitude and period of the resulting oscillations are fixed for any initial value. If the control behaves asymmetrically, it is shown that this is no more true, since the overall dynamical system can admit multiple limit cycles.
Keywords :
delays; limit cycles; oscillations; suboptimal control; variable structure systems; control modulus; delayed input; double integrator system; dynamical system; multiple limit cycles; oscillations; second order discontinuous control system; suboptimal sliding mode control; Communication system control; Control system analysis; Control systems; Councils; Delay effects; Delay systems; Frequency; Limit-cycles; Relays; Sliding mode control;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1271786
