Fault tolerant control for linear parameter varying systems: An improved robust virtual actuator and sensor approach

Quadros, Mariella Maia; Bessa, Iury; Leite, Valter J. S.; Palhares, Reinaldo M.

doi:10.1016/j.isatra.2020.05.010

Cited by 48 publications

(14 citation statements)

References 25 publications

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“…The design of interval error observer-based active FTC for LPV systems of the aero-engines is studied in Wang et al (2019). Finally, a robust FTC methodology for the design of virtual sensors and virtual actuators for discrete-time LPV systems is developed in Quadros et al (2020).…”

Section: Introductionmentioning

confidence: 99%

Interval observer-based methodology for passive fault tolerant control of linear parameter-varying systems

Lamouchi

Raïssi

Amairi

et al. 2021

Transactions of the Institute of Measurement and Control

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The paper deals with passive fault tolerant control for linear parameter varying systems subject to component faults. Under the assumption that the faults magnitudes are considered unknown but bounded, a novel methodology is proposed using interval observer with an [Formula: see text] formalism to attenuate the effects of the uncertainties and to improve the accuracy of the proposed observer. The necessary and sufficient conditions of the control system stability are developed in terms of matrix inequalities constraints using Lyapunov stability theory. Based on a linear state feedback, a fault tolerant control strategy is designed to handle component faults effect as well as external disturbances and preserve the system closed-loop stability for both fault-free and component faulty cases. Two simulation examples are presented to demonstrate the effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Interval observer-based methodology for passive fault tolerant control of linear parameter-varying systems

Lamouchi

Raïssi

Amairi

et al. 2021

Transactions of the Institute of Measurement and Control

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“…24 In this case, by following the sector nonlinearity approach, 24,25 nonlinear systems are generally rewritten as equivalent local polytopic differential inclusions by subsuming their bounded nonlinear expressions into parameters that compose the polytopic model and are also employed to construct the gain-scheduling control law. Then, mimicking developments for linear parameter-varying systems, [26][27][28] a variety of gain-scheduled controllers can be synthesized with different degrees of conservativeness. [29][30][31] Efforts to cast the problem of stabilization of nonlinear systems via sampled-data controllers as a set of LMI conditions have been made in the past for Lur'e-type systems.…”

Section: Introductionmentioning

confidence: 99%

Robust sampled‐data controller design for uncertain nonlinear systems via Euler discretization

Coutinho

Bernal

Palhares

2020

Intl J Robust & Nonlinear

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Robust stabilization of a class of uncertain nonlinear systems through a sampled-data control law is considered in this work. Based on the forward discrete-time Euler approximation, conditions in the form of linear matrix inequalities are provided to synthesize a discrete controller that guarantees the states to be asymptotically driven to the origin, regardless of the presence of bounded parametric uncertainties. In contrast with other approaches, the system is not required to be Lure-type nor the conditions to have predefined gains to be tested. Examples are given to illustrate the effectiveness of the proposal.

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“…Often, uncertain LTI systems can be seen as a particular case of LPV systems. Besides, to make an additional distinction concerning pure LPV systems, if the time-varying parameters depend on some systems states (similar to membership functions in TS models), the system is referred to as qLPV system [17][18][19]. Notwithstanding, NLPV systems can preserve a nonlinear structure instead of reducing it to a purely LPV system.…”

Section: Introductionmentioning

confidence: 99%

Gain‐scheduled control for discrete‐time non‐linear parameter‐varying systems with time‐varying delays

Peixoto

Braga²,

Palhares

2020

IET Control Theory & Appl

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This study addresses the gain-scheduled control problem for discrete-time delayed non-linear parameter-varying (NLPV) and linear parameter-varying (LPV) systems. First, by constructing the parameter-dependent Lyapunov-Krasovskii functional and employing multiple auxiliary functions, delay-dependent reciprocally convex inequality, and selecting a suitable augmented vector, novel delay-dependent linear matrix inequality conditions for the static output-feedback control design and state-feedback control design for delayed NLPV are provided. Second, the results obtained for discrete-time delayed NLPV systems are modified in a simple way to deal with discrete-time delayed LPV systems. Finally, the effectiveness of the proposed methods is illustrated by numerical examples.

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Fault tolerant control for linear parameter varying systems: An improved robust virtual actuator and sensor approach

Cited by 48 publications

References 25 publications

Interval observer-based methodology for passive fault tolerant control of linear parameter-varying systems

Interval observer-based methodology for passive fault tolerant control of linear parameter-varying systems

Robust sampled‐data controller design for uncertain nonlinear systems via Euler discretization

Gain‐scheduled control for discrete‐time non‐linear parameter‐varying systems with time‐varying delays

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