On the development of discontinuous observers

Edwards, Christopher; Spurgeon, Sarah K.

doi:10.1080/00207179408923128

Cited by 394 publications

(228 citation statements)

References 4 publications

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“…According to [32], the system Equations (15) and (16) are asymptotically stable. When (e 1 , e y ) → 0 , the SMO is asymptotically stable.…”

Section: Design Of Robust Adaptive Sliding Mode Fault Observermentioning

confidence: 99%

Fault-Tolerant Control Strategy of a Wind Energy Conversion System Considering Multiple Fault Reconstruction

Shen

2018

Applied Sciences

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A robust sliding mode observer (SMO) is proposed to achieve multiple fault reconstruction for a wind energy conversion system (WECS) with simultaneous actuator and sensor faults. Firstly, the state equation of the WECS is established. The orthogonal transformation matrix and a post filter are introduced, and a new augmented system is constructed; then, the sensor fault is converted into an actuator fault to diagnose. The fault information is collected by the equivalent output control, and the simultaneous reconstruction algorithm of the sensor fault and the actuator fault is given. Through compensation control, the reliable control input of the WECS is guaranteed, and the function of active fault tolerant control for multiple faults is achieved. Simulation experiments show that the proposed method can accurately reconstruct the actuator and sensor faults, and maximum wind energy capture can be achieved by active fault-tolerant control.

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“…According to [32], the system Equations (15) and (16) are asymptotically stable. When (e 1 , e y ) → 0 , the SMO is asymptotically stable.…”

Section: Design Of Robust Adaptive Sliding Mode Fault Observermentioning

confidence: 99%

Fault-Tolerant Control Strategy of a Wind Energy Conversion System Considering Multiple Fault Reconstruction

Shen

2018

Applied Sciences

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“…Sliding mode observers have been shown to be efficient in many applications, such as in robotics [2,21], electrical engineering [7,16,34], and fault detection [15,17]. Of interest here is the fact that the formulation posed in [11,35] can be viewed as an unknown input observer problem [14]. Consequently it is not surprising that the necessary and sufficient conditions for the existence of a 'classical' sliding mode observer 1 as described in [11,35] is that the transfer function matrix between the unmeasurable inputs (or disturbances) and the measured outputs must be minimum phase and relative degree one.…”

Section: Introductionmentioning

confidence: 99%

“…The concept of sliding mode control [12,27,33] has been extended to the problem of state estimation by an observer, for linear systems [33], uncertain linear systems [11,35] and nonlinear systems [1,9,29]. Using the same design principles as for variable structure control, the observer trajectories are constrained to evolve after a finite time on a suitable sliding manifold by the use of a discontinuous output injection signal (the sliding manifold is usually given by the difference between the observer and the system output).…”

Section: Introductionmentioning

confidence: 99%

On sliding mode observers for systems with unknown inputs

Floquet

Edwards

Spurgeon

2007

Adaptive Control & Signal

224

104

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This paper considers the problem of designing an observer for a linear system subject to unknown inputs. This problem has been extensively studied in the literature with respect to both linear and nonlinear (sliding mode) observers. Necessary and sufficient conditions to enable a linear unknown input observer to be designed have been established for many years. One way to express these conditions is that the transfer function matrix between the unknown input and the measured output must be minimum phase and relative degree one. Identical conditions must be met in order to design a 'classical' sliding mode observer for the same problem. This paper shows how the relative degree condition can be weakened if a classical sliding mode observer is combined with sliding mode exact differentiators to essentially generate additional independent output signals from the available measurements. A practical example dedicated to actuator fault detection and identification of a winding machine demonstrates the efficacy of the approach.

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“…In [10], the authors proposed a method that utilizes both linear and discontinuous output error injection. In [30], this method was extended with a Linear Matrix Inequality (LMI) formulation in order to exploit additional degrees of freedom in the choice of the linear and discontinuous gains and to set the poles of the linear part of the observer in a specified region of the complex plane.…”

Section: Motivationmentioning

confidence: 99%

“…The concept of sliding mode control [11,27,32] has been extended to the problem of the state estimation by an observer, both for linear [10,32] and nonlinear systems [1,8,28,34]. Using the same design theory as variable structure control laws, the observer trajectories are constrained to evolve after a finite time on a suitable sliding manifold, by the use of a discontinuous output injection (the sliding manifold is usually given by the difference between the observer and the system output).…”

Section: Introductionmentioning

confidence: 99%

A Canonical Form for the Design of Unknown Input Sliding Mode Observers

Floquet

Barbot

Lecture Notes in Control and Information Science

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On the development of discontinuous observers

Cited by 394 publications

References 4 publications

Fault-Tolerant Control Strategy of a Wind Energy Conversion System Considering Multiple Fault Reconstruction

Fault-Tolerant Control Strategy of a Wind Energy Conversion System Considering Multiple Fault Reconstruction

On sliding mode observers for systems with unknown inputs

A Canonical Form for the Design of Unknown Input Sliding Mode Observers

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