A uniform reaching phase strategy in adaptive sliding mode control

International audienceIn adaptive <a href="https://www.sciencedirect.com/topics/engineering/sliding-mode-control"title="Learn more about sliding mode control from ScienceDirect's AI-generated Topic Pages"class="topic-link"&gtsliding mode control</a&gt methods, an updatinggain strategy associated with finite-time convergence to thesliding set is essential to deal with matched bounded perturbationswith unknown upper-bound. However, the estimation of the finitetime of any adaptive design is a complicated task since it dependsnot only on the upper-bound of unknown perturbation but also on thesize of initial conditions. This brief proposes a uniform adaptivereaching phase strategy (ARPS) within a predefined reaching-time.Moreover, as a case of study, the barrier function approach isextended for perturbed <a href="https://www.sciencedirect.com/topics/engineering/multiple-input-multiple-output"title="Learn more about MIMO from ScienceDirect's AI-generated Topic Pages"class="topic-link"&gtMIMO</a&gt systems with uncertain <a href="https://www.sciencedirect.com/topics/engineering/control-matrix"title="Learn more about control matrix from ScienceDirect's AI-generated Topic Pages"class="topic-link"&gtcontrol matrix