|Optimal Discrete-time Integral Sliding Mode Control for Piecewise Affine Systems
Olfa Jedda* and Ali Douik
International Journal of Control, Automation, and Systems, vol. 17, no. 5, pp.1221-1232, 2019
Abstract : "This paper presents an optimal discrete-time integral sliding mode control for constrained piecewise
affine systems. The proposed scheme is developed on the basis of linear quadratic regulator approach and differential
evolution algorithm in order to ensure the stability of the closed-loop system in discrete-time sliding mode and
the optimization of response characteristics in presence of control input constraints. Moreover, the controller is designed
such that chattering phenomenon is avoided and finite-time convergence to the sliding surface is guaranteed.
The follow-up of a reference model is also ensured. The efficiency of the proposed method is illustrated with an
inverted pendulum system"
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