Fault Reconstruction and Accommodation in Linear Parameter-Varying Systems via Learning Unknown-Input Observers

Jia, Qingxian; Chen, Wen; Zhang, Yingchun; Chen, Xueqin

doi:10.1115/1.4029250

Cited by 12 publications

(7 citation statements)

References 27 publications

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“…Consider a vertical takeoff and landing (VTOL) aircraft model in the vertical plane from the work of Jia et al (2015), described in LPV form as in (10), where the state vector…”

Section: Simulation Resultsmentioning

confidence: 99%

H_/H_∞ fault detection observer design for a polytopic LPV system using the relative degree

Zhou

Rodrigues

Shen

et al. 2018

International Journal of Applied Mathematics and Computer Science

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This paper proposes an H_/H∞ fault detection observer method by using generalized output for a class of polytopic linear parameter-varying (LPV) systems. As the main contribution, with the aid of the relative degree of output, a new output vector is generated by gathering the original output and its time derivative, and it is feasible to consider H_ actuator fault sensitivity in the entire frequency for the new system. In order to improve actuator and sensor fault sensitivity as well as guarantee robustness against disturbances, simultaneously, an H_/H∞ fault detection observer is designed for the new LPV polytopic system. Besides, the design conditions of the proposed observer are transformed into an optimization problem by solving a set of linear matrix inequalities (LMIs). Numerical simulations are provided to illustrate the effectiveness of the proposed method.

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“…Consider a vertical takeoff and landing (VTOL) aircraft model in the vertical plane from the work of Jia et al (2015), described in LPV form as in (10), where the state vector…”

Section: Simulation Resultsmentioning

confidence: 99%

H_/H_∞ fault detection observer design for a polytopic LPV system using the relative degree

Zhou

Rodrigues

Shen

et al. 2018

International Journal of Applied Mathematics and Computer Science

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show abstract

“…To demonstrate the effectiveness of the developed methods, we use a VTOL aircraft model taken from [27].…”

Section: Linear Parameter Varying Modelmentioning

confidence: 99%

Active Fault Tolerant Control Design for LPV Systems with Simultaneous Actuator and Sensor Faults

Tayari

Brahim

Hmida

et al. 2019

Mathematical Problems in Engineering

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The present paper addresses the problem of robust active fault tolerant control (FTC) for uncertain linear parameter varying (LPV) systems with simultaneous actuator and sensor faults. First, fault estimation (FE) scheme is designed based on two adaptive sliding mode observers (SMO). Second, using the information of simultaneous system state, actuator, and sensor faults, two active FTC are conceived for LPV systems described with polytopic representation as state feedback control and sliding mode control. The stability of closed-loop systems is guaranteed by mean of H∞ performance; sufficient conditions of the proposed methods are derived in LMIs formulation. The performance effectiveness of FTC design is illustrated using a VTOL aircraft system with both sensor and actuator faults as well as disturbances. In addition, comparative simulations are provided to verify the benefits of the proposed methods.

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“…Assumption 3 For system (1), it is assumed that the linear part is observable and the non‐linear function

f false(x, t false)

is locally Lipschitz with respect to

x ()(, t)

[19], i.e.

{∥bold-italicf (x_{1} (t), t) - bold-italicf (x_{2} (t), t)∥}_{2} \leq κ {∥x_{1} (t) - x_{2} (t)∥}_{2}

for all

{bold-italicx}_{1} ()(, t), {bold-italicx}_{2} ()(, t) \in {boldR}^{n}

, where

κ > 0

is a known Lipschitz constant. Assumption 4 The external unknown disturbance

d ()(, t) \in L_{2} ()[, 0, \infty)

satisfies

{∥bold-italicd (t)∥}_{2} \leq \overset{false¯}{d}

, where

\overset{false¯}{d} > 0

is an unknown constant. Lemma 1 For any matrices with an appropriate dimension

X

and

Y

, there exists a positive definite symmetric matrix

H

for which the following inequality holds [24]:

{bold-italicX}^{normalT} Y <...>

…”

Section: Problem Formulationmentioning

confidence: 99%

Actuator fault reconstruction based on a robust adaptive observer

Han

Zhang

Liu³

2018

IET Control Theory & Applications

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Fault Reconstruction and Accommodation in Linear Parameter-Varying Systems via Learning Unknown-Input Observers

Cited by 12 publications

References 27 publications

H_/H_∞ fault detection observer design for a polytopic LPV system using the relative degree

H_/H_∞ fault detection observer design for a polytopic LPV system using the relative degree

Active Fault Tolerant Control Design for LPV Systems with Simultaneous Actuator and Sensor Faults

Actuator fault reconstruction based on a robust adaptive observer

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Fault Reconstruction and Accommodation in Linear Parameter-Varying Systems via Learning Unknown-Input Observers

Cited by 12 publications

References 27 publications

H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree

H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree

Active Fault Tolerant Control Design for LPV Systems with Simultaneous Actuator and Sensor Faults

Actuator fault reconstruction based on a robust adaptive observer

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Product

Resources

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H_/H_∞ fault detection observer design for a polytopic LPV system using the relative degree

H_/H_∞ fault detection observer design for a polytopic LPV system using the relative degree