Design of LPV observers for LPV time-delay systems: an algebraic approach

Briat, Corentin; Sename, Olivier; Lafay, Jean-François

doi:10.1080/00207179.2011.611950

Cited by 34 publications

(54 citation statements)

References 45 publications

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“…The interest of the polytopic transformation is the ability to express the convergence conditions, established generally using the Lyapunov theory, in terms of Linear Matrix Inequalities (LMIs), which provides sufficient conditions for the existence of the observers and a mean for the efficient design of the gains of the observers using dedicated tools (Matlab LMI toolbox, YALMIP,...). On the other hand, an interesting reduced order observer for LPV time-delay systems is proposed in [16] where an algebraic approach is presented. Necessary and sufficient conditions are provided for the existence of a reduced order observer for LPV time-delay systems.…”

Section: Introductionmentioning

confidence: 99%

On Unknown Input Observers for LPV Systems

Ichalal

Mammar

2015

IEEE Trans. Ind. Electron.

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International audienceThis paper is dedicated to the design of unknown input (UI) observers for linear parameter-varying (LPV) systems using algebraic matrix manipulation. First, a discussion is provided concerning the classical design approach, which requires the matching condition. This condition is satisfied for a class of systems having relative degree 1. Second, for the same class of systems, a new generalized approach is proposed for simultaneous state and UI estimation. It is demonstrated that the proposed approach is more general than the classical approach. Finally, an extension of the approach is provided for LPV systems with arbitrary relative degree. Simulation examples are provided to illustrate the main results of the paper

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Section: Introductionmentioning

confidence: 99%

On Unknown Input Observers for LPV Systems

Ichalal

Mammar

2015

IEEE Trans. Ind. Electron.

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“…Especially the observer synthesis is problematical for the cases when the model of a nonlinear delayed system contains parametric and signal uncertainties, or when the delay is time-varying or uncertain (Briat, Sename, & Lafay, 2011;Califano, Marquez-Martinez, & Moog, 2011;Darouach, 2001;Fattouh, Sename, & Dion, 1999;Germani, Manes, & Pepe, 1998;Sename & Briat, 2006;Seuret, Floquet, Richard, & Spurgeon, 2007;Zheng, Barbot, Boutat, Floquet, & Richard, 2011). An observer solution for these more complex situations are highly demanded in many real-world applications.…”

Section: Introductionmentioning

confidence: 99%

Interval estimation for uncertain systems with time-varying delays

Efimov

Perruquetti

Richard

2013

International Journal of Control

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The estimation problem for uncertain time-delay systems is addressed. A design method of reduced-order interval observers is proposed. The observer estimates the set of admissible values (the interval) for the state at each instant of time. The cases of known fixed delays and uncertain time-varying delays are analysed. The proposed approach can be applied to linear delay systems and nonlinear time-delay systems in the output canonical form. It involves the properties of quasimonotone/Metzler/cooperative systems. In this framework, it is shown that if under a suitable coordinate transformation the delay-free subsystem is cooperative, then the delayed estimation error dynamics inherits this property. The conditions to find the observer gains are formulated in the form of LMI. The framework efficiency is demonstrated on examples of nonlinear systems.

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“…These observers contain nonlinear injection terms driven by the output estimation errors and are quite different from the Luenberger LPV observers which exist in the literature (e.g. [3,4,5,6,7,8,9,10,11,12,13]). Sliding mode observers typically create a residual signal which is robust against uncertainties so that faults/failures can be reconstructed rather than just being detected.…”

Section: Motivationmentioning

confidence: 99%

Sensor redundancy based FDI using an LPV sliding mode observer

Chen

Edwards

Alwi

2018

IET Control Theory & Applications

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SUMMARYIn this paper, a linear parameter varying (LPV) sliding mode sensor fault detection and isolation (FDI) scheme is proposed wherein knowledge of the measurement redundancy is utilised to achieve FDI in multiple channels simultaneously. Such a situation is common in some state-of-the-art aircraft fault diagnosis systems where information is generally/mainly measured based on triplex redundancy. The scheme proposed in this paper is based on an LPV sliding mode observer and exploits the so-called equivalent output error injection signal to create estimates of the measurement faults. In the case of sensor measurement redundancy, and where there exists a fault free (but unknown) sensor amongst the set of measurements, the fault reconstruction performance of the observer can be improved by isolating and using the output error injection signal associated with the fault free redundant sensor. Simulation results using the RECONFIGURE benchmark model demonstrate the effectiveness of the scheme.

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Design of LPV observers for LPV time-delay systems: an algebraic approach

Cited by 34 publications

References 45 publications

On Unknown Input Observers for LPV Systems

On Unknown Input Observers for LPV Systems

Interval estimation for uncertain systems with time-varying delays

Sensor redundancy based FDI using an LPV sliding mode observer

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