Title :
On the Transfer Properties of the “Generalized Sub-Optimal” Second-Order Sliding Mode Control Algorithm
Author :
Boiko, Igor ; Fridman, Leonid ; Pisano, Alessandro ; Usai, Elio
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Calgary, Calgary, AB
Abstract :
A class of second order sliding mode control systems is studied in terms of its transfer properties, which allows for investigating the system response to an external signal representing either a disturbance, which the system is supposed to reject, or the reference input, which the system is supposed to track. An approach based on the locus of a perturbed relay system (LPRS) is developed making reference to linear plant/actuator/sensor dynamics and to the ldquogeneralized sub-optimalrdquo second-order sliding mode control algorithm in the closed loop. A thoroughly discussed example shows the feasibility of the presented procedure and confirms the theoretical results.
Keywords :
closed loop systems; linear systems; suboptimal control; variable structure systems; closed loop system; generalized suboptimal control; linear plant-actuator-sensor dynamics; locus of a perturbed relay system; second-order sliding mode control algorithm; transfer properties; Control system analysis; Control systems; Frequency domain analysis; Hydraulic actuators; Limit-cycles; Motion control; Relays; Sensor systems; Sliding mode control; Temperature control; Frequency-domain techniques; second-order sliding-mode control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.2008361