The multimodel approach for a numerical second order sliding mode control of highly non stationary systems

Optimal Discrete-time Sliding Mode Control for Nonlinear Systems Subject to Input Constraints

“…In [15][16][17], the saturation function is used as smooth one instead of the sign function which is the origin of discontinuity. In [18][19][20], discrete-time second order sliding mode control (DSOSMC) was proposed for linear and nonlinear systems. In [21,22], a piecewise-constant control is used to generate the discrete-time sliding mode.…”

Data‐driven sliding mode tracking control for unknown Markovian jump non‐linear systems

“…This scheme can decrease the severity of the chattering problem and the system can also keep robust simultaneously. Moreover, a multi-model discrete 2-SMC approach [18,19] was designed to further reduce chattering and improve the system's robustness at the same time. Unfortunately, the system models and orders are not always available in practise.…”

Multimodel Discrete Second Order Sliding Mode Control: Stability Analysis and Real Time Application on a Chemical Reactor

“…However, this approach does not ameliorate the robustness of the system during the reaching phase (Mihoub et al (2008)). To resolve this problem, the multimodel approach is exploited in the following paragraph.…”

“…Consequently, during this phase the robustness is not guaranteed. A solution for this problem was proposed in (Mihoub et al (2008;2009a)) by combining the second order discrete sliding mode control and the multimodel approach. The multimodel discrete second order sliding mode control (MM-2-DSMC) structure is given by the figure 1.…”

“…Two problems must be resolved in this case: the construction of the partial models and the choice of the right one at the right time (Ltaief et al (2003a;b;2004); Mihoub et al (2008;2009a); Talmoudi et al (2002a;b;). If the final model is built by the fusion technique, we must, of course, compute partial models validities.…”