Design of unknown input fractional order proportional–integral observer for fractional order singular systems with application to actuator fault diagnosis

Komachali, Fateme Pourdadashi; Shafiee, Masoud; Darouach, Mohamed

doi:10.1049/iet-cta.2018.5712

Cited by 26 publications

(10 citation statements)

References 34 publications

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“…Therefore, a fault-estimation observer must be robust to disturbances. Many effective observers—such as adaptive observers, 7,8 unknown input observers, 9,10 proportional integral observers, 11,12 neural-network observers, 13,14 learning observers, 15,16 and descriptor system observers 17,18 —have been proposed.…”

Section: Introductionmentioning

confidence: 99%

Finite-time observer–based robust fault estimation for nonlinear systems

Gao

Zhang

2023

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article investigates the finite-time fault-estimation problem for a class of Lipschitz nonlinear systems with actuator faults and unknown input disturbances. Specifically, the original system is preliminarily decoupled into two reduced-order subsystems using a linear nonsingular transformation. A novel finite-time observer is proposed to estimate actuator faults in finite time. Subsequently, the proposed finite-time observer is extended to nonlinear systems with unknown input disturbances to investigate the robust fault-estimation problem. The actuator fault and unknown input disturbance are estimated simultaneously using two finite-time observations. Furthermore, a fault-estimation scheme is designed based on finite-time observers. The finite-time stability of the observers is then analysed using the Moreno–Lyapunov function method. The analytical proofs presented herein demonstrate that estimation errors can converge to a region of zero in finite time. Finally, the effectiveness of the developed finite-time observers and fault-estimation scheme was validated through simulations of a sample single-link flexible-joint robot.

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Section: Introductionmentioning

confidence: 99%

Finite-time observer–based robust fault estimation for nonlinear systems

Gao

Zhang

2023

Proceedings of the Institution of Mechanical Engineers, Part I:

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“…Besides that, singular dynamic systems, also referred to as generalized dynamic systems, are ruled by singular difference or differential equations, which offer the systems several unique characteristics not seen in standard dynamic systems [24,25]. Researchers have been interested in singular dynamic systems because of their wide range of applications [26][27][28]. The studies of twoperson games for stochastic singular dynamic systems as well as uncertain singular dynamic systems have been explored in [29] and [30], respectively.…”

Section: Introductionmentioning

confidence: 99%

Two‐person games for uncertain random singular dynamic systems

Chen

Zhu

Park

2022

IET Control Theory & Appl

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A complex system exhibiting uncertainty as well as randomness may be portrayed by an uncertain random singular difference equation. This paper investigates two-person nonzero-sum and zero-sum games based on uncertain random singular difference equations. First, an approach is proposed to translate the two-person nonzero-sum game into an equivalent game for a standard uncertain random dynamic system. The relevant recursive equations are developed to search the Nash equilibrium for the converted game. Solving the related recursive equations yields the solution to such a game. Following that, a Max-Min Theorem is provided for finding the saddle-point equilibrium of an uncertain random two-person zero-sum game. Finally, a numerical example is offered to demonstrate the validity of the findings.

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“…Recently, some research progresses on observer-based time-varying faults reconstruction for non-linear systems. [15][16][17][18] For such systems, the use of the well-known linear methods can cause an instability, and from the mathematical point of view, an observer design based directly on non-linear model is very complex due to the high non-linearity of the system. The best solution to deal with this difficulty is the Takagi-Sugeno (TS) multi-model approach.…”

Section: Introductionmentioning

confidence: 99%

Estimation and fault diagnosis for non‐linear system with time‐varying faults and measurement noises: Application on two CSTRs in series

Bzioui

Channa

2022

Can J Chem Eng

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A continuously stirred tank reactor (CSTR) is largely used in water treatment and in chemical and biological processes. It is characterized by a complex non‐linear behaviour. Operating large reactors in industry can be expensive, so a common trick used to reduce costs is to operate multiple CSTRs in series. Consequently, the CSTR is usually exposed to faults and noises. This paper addresses the design of a robust observer for estimation and fault diagnosis strategy on two CSTRs in series. The considered system is affected simultaneously by time‐varying actuator and sensor faults with measurement noises. The Takagi‐Sugeno multimodel approach is proposed to transform the non‐linear model into an interpolation of several linear sub‐models with non‐measurable premise variables. The purpose of this brief is to provide the state and the fault estimation for the considered system using a proportional multiple integral (PMI) unknown input observer. The exponential stability conditions are studied with the Lyapunov theory and L2 optimization and formulated in terms of linear matrix inequalities. In addition, a comparative study with a PMI observer is conducted. Finally, the proposed observer is used for time‐varying fault detection and isolation.

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Design of unknown input fractional order proportional–integral observer for fractional order singular systems with application to actuator fault diagnosis

Cited by 26 publications

References 34 publications

Finite-time observer–based robust fault estimation for nonlinear systems

Finite-time observer–based robust fault estimation for nonlinear systems

Two‐person games for uncertain random singular dynamic systems

Estimation and fault diagnosis for non‐linear system with time‐varying faults and measurement noises: Application on two CSTRs in series

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