Finite-time state observation for non-linear uncertain systems via higher-order sliding modes

Dávila, Jorge; Fridman, Leonid; Pisano, Alessandro; Usai, Elio

doi:10.1080/00207170802590531

Cited by 59 publications

(57 citation statements)

References 21 publications

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“…Φ(0 ,x) = 0 . For the details of the proof, see [36]. Lemma 1 is guaranteed provided that the mapping Φ(e x ,x) is locally bijective in the neighborhood of e x = 0.…”

Section: Resultsmentioning

confidence: 99%

Control of oxygen excess ratio in a PEM fuel cell system using high-order sliding-mode controller and observer

Rakhtala¹,

Noei²,

Ghaderi³

et al. 2015

Turk J Elec Eng & Comp Sci

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Abstract:The main objective of this manuscript is to design a high-order sliding-mode observer to provide finite time estimation of unmeasurable states (x 4 : oxygen mass, x 5 : nitrogen mass) together with the oxygen excess ratio (ratio of the input oxygen flow to the reacted oxygen flow in the cathode). This is done by applying second-order sliding modes through either super twisting or suboptimal controllers to control the proton exchange membrane fuel cell's breathing.The estimated oxygen excess ratio is controlled in a closed-loop system using 2 distinct sliding-mode approaches: a cascaded super twisting controller and a single-loop suboptimal structure. Simulation results are presented to make a quantitative comparison between the cascade and the single-loop configuration. The results verify that the cascade provides accurate reference tracking while the single-loop presents faster convergence.

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“…Φ(0 ,x) = 0 . For the details of the proof, see [36]. Lemma 1 is guaranteed provided that the mapping Φ(e x ,x) is locally bijective in the neighborhood of e x = 0.…”

Section: Resultsmentioning

confidence: 99%

Control of oxygen excess ratio in a PEM fuel cell system using high-order sliding-mode controller and observer

Rakhtala¹,

Noei²,

Ghaderi³

et al. 2015

Turk J Elec Eng & Comp Sci

Self Cite

View full text Add to dashboard Cite

show abstract

“…it is demonstrated in [7] that the observer (27) is able to estimate the full state vector of system (21) (and drive the state observation error (31) to zero) in finite time given that a suitable correction action u 0 is selected to drive the output error vector (32) to zero in finite time. In this paper a STA approach is proposed for this task.…”

Section: Nonlinear Observability and Design Conditionsmentioning

confidence: 99%

“…The main structure of the NDPO follows a model-based approach extracted from the literature [7]. For an n-order nonlinear system the observer structure is such thaṫ…”

Section: Structure Of the Observermentioning

confidence: 99%

“…The vector g k (x k ) is obtained from the observability matrices O k (x k ) introduced in Eq. (36) by computing [7] …”

Section: Implementation Of the Observer For The Pemfc Modelmentioning

confidence: 99%

“…It makes it possible to implement output-feedback nonlinear control techniques that allow the system to operate far away from its nominal working point, which is a common situation in PEMFC energy systems. The main contribution of this paper relies on the implementation of a nonlinear observer topology [7] based on a distributed parameters model [8] of a PEMFC, for the estimation of the concentrations profiles along the channels of all the gas species. The resulting nonlinear distributed parameter observer (NDPO) should contribute to improve the efficiency and life expectancy of PEMFC systems if used to obtain advanced controllers that consider the internal dynamics of the system.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nonlinear distributed parameter observer design for fuel cell systems

Luna¹,

Husar²,

Serra³

2015

International Journal of Hydrogen Energy

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This paper presents the development of a nonlinear state observer to estimate the different gas species concentration profiles in a Proton Exchange Membrane Fuel Cell energy system. The selection of the estimated states follows functionality and fuel cell performance criteria. The implementation is based on the finite element discretisation of a fuel cell distributed parameter model. Forward and backwards discretisation of the partial derivative equations is performed to take advantage of the boundary conditions of the problem and also to apply lumped systems theory in the synthesis procedure of the observer. A second-order sliding-mode super-twisting corrective input action is implemented to reduce the estimation error to zero in a finite amount of time. The sliding-mode control approach grants a suitable corrective action without incrementing the model-dependency of the observer. Simulation results are presented to show the performance of the proposed observer of the fuel cell internal states and to extract conclusions for future research work.

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FTESO‐Based Finite Time Control for Underactuated System Within a Bounded Input

Wang¹,

Zhou²,

Chen³

et al. 2017

Asian Journal of Control

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Finite time control problem is investigated for a class of underactuated systems with uncertainties and external disturbances. For the sake of expanding control region furthest within a bound input, finite time extended state observer (FTESO) and a novel adaptive terminal sliding mode (ATSM) controller are applied to improve the stability performance of system. Compared to the general extended state observer (ESO), FTESO makes use of fractional powers to reduce the estimation errors to zero in finite time. The coordinate transformation is made for more degrees of design freedom. Rigorous analysis of finite time convergence results has been performed through Lyapunov theory and sufficient conditions are provided for the observer/controller-design. Finally, simulation results on the Rotating Inverted Pendulum are given to demonstrate the effectiveness of the proposed controller and observer.

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Finite-time state observation for non-linear uncertain systems via higher-order sliding modes

Cited by 59 publications

References 21 publications

Control of oxygen excess ratio in a PEM fuel cell system using high-order sliding-mode controller and observer

Control of oxygen excess ratio in a PEM fuel cell system using high-order sliding-mode controller and observer

Nonlinear distributed parameter observer design for fuel cell systems

FTESO‐Based Finite Time Control for Underactuated System Within a Bounded Input

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