Robust stabilisation of distributed‐order systems

Abstract

Funding informationThere are no funders to report for this submission.This paper presents the design of a novel methodology for robust stabilisation of distributed-order systems, which are subject to both matched and mismatched disturbances. Matched disturbances are coped through a nonlinear controller, while mismatched disturbances are rejected by a pseudo-state feedback, whose gain is adjusted by solving alinear matrix inequality. Since nonsmooth techniques induce not-necessarily integer-order differentiable solutions, the dynamical systems under consideration are defined through an operator that extends the distributed-order differentiation of integer-order differentiable functions to the case of not necessarily integer-order differentiable ones. Numerical simulations highlight the reliability of the proposed scheme.

A novel-enhanced metaheuristic algorithm for FOPID-controlled and Bode’s ideal transfer function–based buck converter system

“…In this respect, a fractional-order proportional–integral–derivative (FOPID) controller provides a greater structure in order to add more flexibility to the design. The latter controller structure has already been proved to be a greater choice for different applications (Bhookya and Jatoth, 2019; Bingul and Karahan, 2018; Demirören et al, 2021; Ekinci et al, 2021b; Jan and Boulaaras, 2022; Morsali et al, 2017; Muñoz-Vázquez et al, 2021, 2022) which makes it a more promising candidate for applications. Therefore, it was used in this study for better operation of DC-DC buck converter system.…”