Generalised conformable sliding mode control

Abstract

This paper explores the concept of conformable derivative to produce a more general sliding motion, where the speed of convergence can be directly modulated during the design of the conformable operator. Through the analysis of a novel conformable derivative, a newer class of control systems can be proposed, which offer supplementary and entrancing properties to meet broader performance specifications. A conformable integro‐differential sliding motion is enforced in finite‐time, by means of a second‐order sliding mode controller, where the stability at the sliding phase is studied in the Lyapunov framework. Representative simulation examples are provided to show the suitability of the proposed methodology, and an experimental scenario is carried out to evaluate the performance of the proposed scheme under real‐world conditions.

Experimental validation of fuzzy type‐2 against type‐1 scheme applied in DC/DC converter integrated to a PEM fuel cell system

“…A nonlinear control that can counteract these issues is sliding mode control (SMC) which is known for its robustness against uncertainties and simple implementation. 22 A simulated implementation of SMC has been performed by authors of Abbaker et al, 23 where they used it for oxygen supply regulated with an estimation algorithm for the unknown dynamics. Results showed sufficient robustness and performance increase as well as a fast convergence.…”

“…Besides, considerable improvement in the response time and control robustness also was achieved. A nonlinear control that can counteract these issues is sliding mode control (SMC) which is known for its robustness against uncertainties and simple implementation 22 . A simulated implementation of SMC has been performed by authors of Abbaker et al, 23 where they used it for oxygen supply regulated with an estimation algorithm for the unknown dynamics.…”