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

Laghrouche, Salah; Harmouche, Mohamed; Ahmed, Fayez Shakil; Chitour, Yacine

doi:10.1109/tcst.2014.2371826

Cited by 67 publications

(34 citation statements)

References 27 publications

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“…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).…”

Section: Proofmentioning

confidence: 90%

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

Liu

Ding

2017

Intl J Robust & Nonlinear

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Summary The dynamics of the second‐order sliding mode (SOSM) can be obtained by directly taking the second derivative on the sliding variable when it has a relative degree of 2 with respect to the control input. However, there will always appear some state‐dependent certain or uncertain terms in the first derivative of the sliding variable, and the derivative directly imposed on these terms could enlarge the uncertainties in the control channel. One method to reduce the uncertainties in the control channel is to hold this information in the dynamics of the first derivative of the sliding variable, while the original SOSM dynamics could be transformed to be a SOSM system with a mismatched unbounded perturbation. This paper focuses on the controller design problem for SOSM dynamics subject to mismatched unbounded perturbation. By using Lyapunov analysis, a novel backstepping‐like design methodology will be proposed. The rigorous mathematical proof will show that under the derived SOSM controller, the closed‐loop sliding mode dynamics is globally finite‐time stable. Meanwhile, the frequently used constant upper bound assumptions for the standard SOSM system can also be extended to the state‐dependent hypotheses in this paper. An academic example is illustrated to verify the effectiveness of the proposed method. Copyright © 2017 John Wiley & Sons, Ltd.

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Section: Proofmentioning

confidence: 90%

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

Liu

Ding

2017

Intl J Robust & Nonlinear

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“…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.…”

Section: Second-order Sliding Mode Controller (Sosmc) Designmentioning

confidence: 99%

Position Control of Switched Reluctance Motor Using Super Twisting Algorithm

Mufti¹,

Butt²,

Iqbal³

et al. 2016

Mathematical Problems in Engineering

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The inherent problem of chattering in traditional sliding mode control is harmful for practical application of control system. This paper pays a considerable attention to a chattering-free control method, that is, higher-order sliding mode (super twisting algorithm). The design of a position controller for switched reluctance motor is presented and its stability is assured using Lyapunov stability theorem. In order to highlight the advantages of higher-order sliding mode controller (HOSMC), a classical first-order sliding mode controller (FOSMC) is also applied to the same system and compared. The simulation results reflect the effectiveness of the proposed technique.

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“…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.…”

Section: Introductionmentioning

confidence: 99%

Higher Order Super-Twisting for Perturbed Chains of Integrators

Laghrouche

Harmouche²,

Chitour

2017

IEEE Trans. Automat. Contr.

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In this paper, we present a generalization of the supertwisting algorithm for perturbed chains of integrators of arbitrary order. This Higher Order Super-Twisting (HOST) controller is homogeneous with respect to a family of dilations and is continuous. It is built as a dynamic controller (with respect to the state variable of the chain of integrators) and the convergence analysis is performed by the use of a homogeneous strict Lyapunov function which is explicitly constructed. The effectiveness of the controller is finally illustrated with simulations for a chain of integrators of order four, first pure then perturbed, where we compare the performances of two HOST controllers.

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

Cited by 67 publications

References 27 publications

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

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

Position Control of Switched Reluctance Motor Using Super Twisting Algorithm

Higher Order Super-Twisting for Perturbed Chains of Integrators

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