Control of PEMFC Air-Feed System Using Lyapunov-Based Robust and Adaptive Higher Order Sliding Mode Control

Abstract

In this brief, we present Lyapunov-based robust 1 and adaptive higher order sliding mode (HOSM) controllers 2 for the air-feed system of polymer electrolyte membrane fuel 3 cells, which is a nonlinear single-input, single-output system 4 with bounded uncertainty. The system consists of a motorized 5 compressor, which is driven at its optimal point in order to 6 minimize the internal energy consumption of the system. This 7 brief provides an experimental demonstration of the applicabil-8 ity of the recently developed fixed-gain robust controller and 9 adaptive controller for this problem. Third-order controllers 10 are developed in order to obtain a continuous profile for 11 the input current of the compressor motor. In this regard, a 12 complete adaptive arbitrary HOSM control has been presented 13 for the first time, with Lyapunov-based proof. A performance 14 comparison between the two controllers is presented in the 15 end. 16 Index Terms-Adaptive control, finite time stabilization, 17 higher order sliding mode (HOSM), Lyapunov analysis, polymer 18 electrolyte membrane fuel cell (PEMFC), robust control. 19 I. INTRODUCTION 20 F UEL cells and their auxiliary systems pose challenging 21 control problems, as they are typically nonlinear and 22 difficult to characterize. They require robust or adaptive 23 control methods, as their physical parameters are uncertain, 24 varying with operating conditions and environmental effects.

Second‐order sliding mode controller design subject to mismatched unbounded perturbations

“…Finally, by the fact that e 2 D N s 2 O N s 2 is bounded, we obtain N s 2 , which is also bounded during OE0; T 1 . From the aforementioned proof, it is clear that system (7) can be globally stabilized by controller (24). Note that controller (24) can be rewritten as (8).…”

Position Control of Switched Reluctance Motor Using Super Twisting Algorithm

“…HOSM has the ability to remove the chattering effect completely and provides higher accuracy in realization while maintaining the basic advantage of original approach. Several numbers of such controllers have been reported in the literature [34][35][36]. Among these, the second-order sliding mode controller (SOSMC) is popular due to its easy implementation.…”

Higher Order Super-Twisting for Perturbed Chains of Integrators

“…Sliding mode with homogeneity approach was also used in [7], [8], to demonstrate finite time stabilization of the arbitrary order sliding mode controllers for SISO systems [1]. A Lyapunovbased approach for arbitrary HOSMC controller design was presented in [9], [10]. In this work, it was shown that a class of homogeneous controllers that satisfies certain conditions, could be used to stabilize perturbed integrator chains.…”