Integrated fault estimation and fault tolerant control for systems with generalized sector input nonlinearity

Hashemi, Mojtaba; Tan, Chee Pin

doi:10.1016/j.automatica.2020.109098

Cited by 26 publications

(8 citation statements)

References 20 publications

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“…Then, when

\bar{d}(t) \ne 0

, it is proved that (21) has

{H_\infty }

performance index [19, 44]

\begin{equation}{\left\| {{G_{ef\bar{d}}}(s)} \right\|_\infty } = \mathop {\sup }\limits_\omega \bar{\sigma }({G_{ef\bar{d}}}(j\omega )) &lt; {\gamma _1}\end{equation}

…”

Section: Resultsmentioning

confidence: 99%

“…Assumptions 1 and 2 are some general constraints and have been widely used in literature [4, 13, 28, 44], which are reasonable in practical applications owing to physical limitations. Assumption 3 is natural and reasonable because signals

\omega (t)

and

\dot{\omega }(t)

are energy‐bounded in practical systems, which is often considered in studies [3, 13, 14, 28, 29, 45].…”

Section: Problem Formulationmentioning

confidence: 99%

“…Clearly, inequalities ( 44) and ( 45) become LMIs containing only the matrix variables Ki , when formulas ( 42) and ( 43) are both established. Moreover, the existence of variables obtained in (42) and (43) has ensured that (44) and (45) are feasible.…”

Section: Fault Estimation Design With Less Conservatismmentioning

confidence: 99%

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Fuzzy adaptive observer‐based fault estimation design with adjustable parameter for satellite under unknown actuator faults and perturbations

Chang

2022

IET Control Theory & Appl

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This study considers the problem of fault estimation for rigid satellite in the presence of external disturbances, parameter perturbations, and actuator time‐varying faults. Firstly, a Takagi‐Sugeno (T‐S) fuzzy model with interval matrix for satellite attitude system under large attitude angle scope is established, along with a detailed analysis of actuator faults in terms of additive and multiplicative descriptions. Then, a novel fuzzy adaptive observer with adjustable parameter is proposed to estimate both system states and actuator faults. The estimated errors are proved to be uniformly ultimately bounded, based on descriptor augmentation technique and Lyapunov stability theory. The proposed observer realizes a lower estimation performance index in terms of quantitative assessment compared to existing observer methods. Furthermore, an auxiliary optimization variable and the elimination method are applied to decrease the conservatism of the proposed design. And an intuitive quantitative performance index of fault estimation is introduced to obtain reliable evaluation and decision. Finally, numerical simulations and analyses of rigid satellite illustrate the effectiveness and benefit of the proposed strategy.

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“…Then, when

\bar{d}(t) \ne 0

, it is proved that (21) has

{H_\infty }

performance index [19, 44]

\begin{equation}{\left\| {{G_{ef\bar{d}}}(s)} \right\|_\infty } = \mathop {\sup }\limits_\omega \bar{\sigma }({G_{ef\bar{d}}}(j\omega )) &lt; {\gamma _1}\end{equation}

…”

Section: Resultsmentioning

confidence: 99%

\omega (t)

and

\dot{\omega }(t)

are energy‐bounded in practical systems, which is often considered in studies [3, 13, 14, 28, 29, 45].…”

Section: Problem Formulationmentioning

confidence: 99%

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Fuzzy adaptive observer‐based fault estimation design with adjustable parameter for satellite under unknown actuator faults and perturbations

Chang

2022

IET Control Theory & Appl

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“…Remark Most works on active FTC perform online FE even when there is no fault; 28–30 this can be computationally burdensome. An FDI scheme alleviates this issue, by only triggering the FTC when a fault is detected and isolated.…”

Section: Problem Formulationmentioning

confidence: 99%

Active fault tolerant control based on adaptive interval observer for uncertain systems with sensor faults

Wang

Tan

Wang

et al. 2021

Intl J Robust & Nonlinear

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In this article, we present an active fault tolerant control scheme based on fault detection and isolation (FDI) for a class of uncertain systems subject to sensor faults. The FDI unit consists of a fault detection (FD) module and a fault isolation (FI) module, to determine when and where the sensor fault happens. It is noted that the FD module is based on a proposed adaptive interval observer where adaptive parameters instead of conservative uncertainty bounds are used, as a result, the sensitivity to faults is improved. When the FD module detects a fault, a compensation controller (CC) and an FI module are activated. The CC is designed to maintain some level of performance assuming all sensors are faulty. After the FI module determines the location of the fault, a reconfigured controller is activated to give improved performance with reduced conservatism. Importantly, the unmeasurable states and faulty output are approximated as a linear combination of their upper and lower bounds, and linear parameter are determined by adaptive laws. Finally, a simulation example is utilized to verify the effectiveness of the proposed scheme.

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“…In von Ellenrieder (2018), an H ∞ controller is designed for a linear time-invariant system with disturbances as additive faults such that the H ∞ norm from the disturbance to the control variable is minimal, and at the same time the H ∞ norm from the reference to the control input is minimal. In Hashemi and Tan (2020) a robust controller using a fault estimation is designed for a class of systems with sector nonlinearity in the input subjected to exogenous signals as additive faults. The stability of the system is shown by providing sufficient conditions and the L 2 -gain performance is minimized by solving an LMI to reject the disturbance.…”

Section: Introductionmentioning

confidence: 99%

Robust Control for a Class of Nonlinearly Coupled Hierarchical Systems with Actuator Faults

Ameli¹,

Anubi²

2021

Preprint

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This paper proposes an approach to addresses the control challenges posed by a faultinduced uncertainty in both the dynamics and control input effectiveness of a class of hierarchical nonlinear systems in which the high-level dynamics is nonlinearly coupled with a multi-agent low-level dynamics. The high-level dynamics has a multiplicative uncertainty in the control input effectiveness and is subjected to an exogenous disturbance input. On the other hand, the low-level system is subjected to actuator faults causing a time-varying multiplicative uncertainty in the dynamical model and associated control effectiveness. Moreover, the nonlinear coupling between the high-level and the low-level dynamics makes the problem even more challenging. To address this problem, an online parameter estimation algorithm is designed, coupled with an adaptive splitting mechanism which automatically distributes the control action among low level multi-agent systems. A nonlinear L 2 -gain-based controller, and then a state-feedback controller are designed in the high-level, and the low-level, respectively, to recover the system from faults with high performance in the transient response, and reject the exogenous disturbance. The resulting analysis guarantees a robust tracking of the high-level reference command signal.

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Integrated fault estimation and fault tolerant control for systems with generalized sector input nonlinearity

Cited by 26 publications

References 20 publications

Fuzzy adaptive observer‐based fault estimation design with adjustable parameter for satellite under unknown actuator faults and perturbations

Fuzzy adaptive observer‐based fault estimation design with adjustable parameter for satellite under unknown actuator faults and perturbations

Active fault tolerant control based on adaptive interval observer for uncertain systems with sensor faults

Robust Control for a Class of Nonlinearly Coupled Hierarchical Systems with Actuator Faults

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