TY  - JOUR
AB  - Purpose– The purpose of this paper is to design a new sliding mode control algorithm for the second order dynamic system subject to input signal and velocity constraints.Design/methodology/approach– The proposed algorithm employs a time‐varying switching line. At the initial time t=t0, the line passes through the representative point of the system in the error state space. Afterwards, the line moves with a constant velocity and a constant angle of inclination to the origin of the space and having reached the origin it stops moving. Parameters of the line are selected in such a way that the integral of the time multiplied by the absolute error is minimized with the input signal and the system velocity constraints. First, each of the constraints is taken into account separately, and then both of them are considered at the same time.Findings– The algorithm introduced in this paper ensures insensitivity of the controlled system with respect to external disturbance and model uncertainty since the very beginning of its motion. Furthermore, the algorithm guarantees fast tracking error convergence to zero without overshoots or oscillations.Originality/value– In this paper, new systematic methods of the switching line design for the second order system are presented. Input signal and velocity constraints are explicitly taken into account in the design process.
VL  - 38
IS  - 7/8
SN  - 0368-492X
DO  - 10.1108/03684920910976844
UR  - https://doi.org/10.1108/03684920910976844
AU  - Nowacka‐Leverton Aleksandra
AU  - Bartoszewicz Andrzej
ED  - Jerzy Józefczyk
PY  - 2009
Y1  - 2009/01/01
TI  - ITAE optimal variable structure control of second order systems with input signal and velocity constraints
T2  - Kybernetes
PB  - Emerald Group Publishing Limited
SP  - 1093
EP  - 1105
Y2  - 2024/04/26
ER  -