Complete characterisation of disturbance estimation and fault detection for positive systems

Oghbaee, Amirreza; Shafai, B.; Nazari, Sam

doi:10.1049/iet-cta.2017.0911

Cited by 24 publications

(10 citation statements)

References 32 publications

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“…Thus, the quadratic matrix inequality in (46) can be transformed into an LMI under a fixed X i , i ∈ . On the other hand, the equality in (47) holds if and only if X i = Q i .…”

Section: Optimization Of Observer Designmentioning

confidence: 99%

“…Robust filtering approaches or other types of positive observers can then be exploited to estimate the system state and faults with certain performance criteria. In the work of Oghbaee et al, a special type of unknown input observer is introduced, where faults are converted as unknown inputs and then estimated through a positive filtering process of the output. However, to the best of our knowledge, the fault estimation problem of positive systems has not been fully investigated to date, which is the first motivation of the current study.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Descriptor state‐bounding observer design for positive Markov jump linear systems with sensor faults: Simultaneous state and faults estimation

Song

Lam

Chen

et al. 2020

Intl J Robust & Nonlinear

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Summary This article presents a descriptor observer design approach for positive Markov jump linear systems subject to interval parameter uncertainties and sensor faults. First, by taking the sensor fault term as an auxiliary state, an augmented descriptor system is constructed. A pair of positive observers with state‐bounding feature is then proposed, which enables simultaneous estimation of the system state and sensor faults. A necessary and sufficient condition on existence of the desired state‐bounding observer is derived by considering positivity and robust mean exponential stability of corresponding observer error dynamics. An iterative optimization algorithm is developed for the computation of the optimized observer matrices. Finally, a numerical example is presented to show the validity of the proposed methods.

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“…Thus, the quadratic matrix inequality in (46) can be transformed into an LMI under a fixed X i , i ∈ . On the other hand, the equality in (47) holds if and only if X i = Q i .…”

Section: Optimization Of Observer Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Descriptor state‐bounding observer design for positive Markov jump linear systems with sensor faults: Simultaneous state and faults estimation

Song

Lam

Chen

et al. 2020

Intl J Robust & Nonlinear

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show abstract

“…Thence, several actuator and sensor failure estimation algorithms have been developed. Actuator fault estimation is performed based on the UIO model, which is designed using the Lyapunov analysis and the linear matrix inequality (LMI) optimization algorithm to determine observer gain [28][29][30][31][32][33][34][35][36][37][38]. In [29], a UIO model is implemented utilizing Bayesian filter equations and estimates the states in two steps: time update and measurement update.…”

Section: Introductionmentioning

confidence: 99%

Robust Control Optimization Based on Actuator Fault and Sensor Fault Compensation for Mini Motion Package Electro-Hydraulic Actuator

2021

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In recent years, electro-hydraulic systems have been widely used in many industries and have attracted research attention because of their outstanding characteristics such as power, accuracy, efficiency, and ease of maintenance. However, such systems face serious problems caused simultaneously by disturbances, internal leakage fault, sensor fault, and dynamic uncertain equation components, which make the system unstable and unsafe. Therefore, in this paper, we focus on the estimation of system fault and uncertainties with the aid of advanced fault compensation techniques. First, we design a sliding mode observer using the Lyapunov algorithm to estimate actuator faults that produce not only internal leakage fault but also disturbances or unknown input uncertainties. These faults occur under the effect of payload variations and unknown friction nonlinearities. Second, Lyapunov analysis-based unknown input observer model is designed to estimate sensor faults arising from sensor noises and faults. Third, to minimize the estimated faults, a combination of actuator and sensor compensation fault is proposed, in which the compensation process is performed due to the difference between the output signal and its estimation. Finally, the numerical simulations are performed to demonstrate the effectiveness of the proposed method obtained under various faulty scenarios. The simulation results show that the efficiency of the proposed solution is better than the traditional PID controller and the sensor fault compensation method, despite the influence of noises.

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“…Positive systems are referred to as a kind of systems whose state variables always confine to be positive whenever the initial condition is non‐negative. We find examples of positive systems in a number of industrial processes including the one in chemical reactor, heat exchanges and storage systems [1–4]. The stability analysis research related to different types positive systems are fruitful, such as interval positive systems in [5], switched positive systems in [6–8] and Markov Jump positive systems in [9].…”

Section: Introductionmentioning

confidence: 99%

Membership‐dependent stability analysis of discrete‐time positive polynomial fuzzy‐model‐based control systems with time delay

Bao

Mehran

Lam³

et al. 2020

IET Control Theory & Applications

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Complete characterisation of disturbance estimation and fault detection for positive systems

Cited by 24 publications

References 32 publications

Descriptor state‐bounding observer design for positive Markov jump linear systems with sensor faults: Simultaneous state and faults estimation

Descriptor state‐bounding observer design for positive Markov jump linear systems with sensor faults: Simultaneous state and faults estimation

Robust Control Optimization Based on Actuator Fault and Sensor Fault Compensation for Mini Motion Package Electro-Hydraulic Actuator

Membership‐dependent stability analysis of discrete‐time positive polynomial fuzzy‐model‐based control systems with time delay

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