Design of unknown input observers and robust fault detection filters

Chen, Jie; Patton, Ron J.; Zhang, Hongyue

doi:10.1080/00207179608921833

Cited by 723 publications

(406 citation statements)

References 22 publications

Supporting

Mentioning

401

Contrasting

Unclassified

Order By: Relevance

“…The latter matrix inequality for ξ (t) → 0 and ξ (t) →ξ , leads to the LMIs (15), (16). Setting η 0 (t) = col{ē 1 (t),ē 2 (t),ė 1 (t), µė 2 , µf i (t), ζ (t, y, u)}, then the following holds…”

Section: Proof 1 the Following Inequalitymentioning

confidence: 99%

“…Let P 1 , P 2 , P 3 satisfy the above inequality, then for small enough µ > 0 andξ > 0 (13), (15), (16) are feasible for the same µ-independent matrices P 1 , P 2 , P 3 . Hence, given big enough δ 1 > 0 and δ 2 > 0, (21) and (22) are feasible for small enough µ andξ .…”

Section: Lmis For Switching Gain Designmentioning

confidence: 99%

“…It is assumed to be known but bounded subject to ∥ζ (t, y, u)∥ ≤ β where the positive scalar β is known. For real systems methods to establish an appropriate fixed matrix M so that Mζ captures the uncertainty are developed in [16]. It is assumed q ≤ p < n and A, B, C, D are constant matrices of appropriate dimensions.…”

Section: Problem Statementmentioning

confidence: 99%

See 2 more Smart Citations

Sampled-data sliding mode observer for robust fault reconstruction: A time-delay approach

Han

Fridman

Spurgeon

2014

Journal of the Franklin Institute

View full text Add to dashboard Cite

A sliding mode observer in the presence of sampled output information and its application to robust fault reconstruction is studied. The observer is designed by using the delayed continuous-time representation of the sampled-data system, for which sufficient conditions are given in the form of Linear Matrix Inequalities (LMIs) to guarantee the ultimate boundedness of the error dynamics. Though an ideal sliding motion cannot be achieved in the observer when the outputs are sampled, ultimately bounded solutions can be obtained provided the sampling frequency is fast enough. The bound on the solution is proportional to the sampling interval and the magnitude of the switching gain. The proposed observer design is applied to the problem of fault reconstruction under sampled outputs and system uncertainties. It is shown that actuator or sensor faults can be reconstructed reliably from the output error dynamics. An example of observer design for an inverted pendulum system is used to demonstrate the merit of the proposed methodology compared to existing sliding mode observer design approaches.

show abstract

Section: Proof 1 the Following Inequalitymentioning

confidence: 99%

Section: Lmis For Switching Gain Designmentioning

confidence: 99%

See 1 more Smart Citation

Sampled-data sliding mode observer for robust fault reconstruction: A time-delay approach

Han

Fridman

Spurgeon

2014

Journal of the Franklin Institute

View full text Add to dashboard Cite

show abstract

“…♯ The next section develops an observer scheme for the triple {A, D, C a }, based only on knowledge of y = Cx, which estimates the states in such a way that the state estimation error is asymptotically stable and independent of the unknown input w once a sliding motion is obtained. 3 Step-by-step observer design…”

Section: Lemma: the Invariant Zeros Of The Triplesmentioning

confidence: 99%

“…One approach has been to design linear observers (both full-order and reduced-order). In the literature, linear observers which are completely independent of the unmeasurable disturbances are known as Unknown Input Observers (UIOs) [3,4,5,6,22]. In particular, easily verifiable system theoretic conditions, which are necessary and sufficient for the existence of UIOs, have been established (see for example [20] or [22]).…”

Section: Introductionmentioning

confidence: 99%

On sliding mode observers for systems with unknown inputs

Floquet

Edwards

Spurgeon

2007

Adaptive Control & Signal

233

106

View full text Add to dashboard Cite

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.

show abstract

Robust fault detection and isolation via a diagnostic observer

Xiong

Saif

2000

Int. J. Robust Nonlinear Control

View full text Add to dashboard Cite

We present two methodologies for the design of robust fault isolation observer for linear uncertain systems. The proposed fault isolation observer is robust to structural uncertainties by producing disturbance decoupled residuals. The first method uses a direct eigenstructure assignment scheme to accomplish a diagonal transfer function between the faults and the residuals. The second method is carried out through transformation of the linear system under consideration into its special coordinate basis (SCB) form. Once the system is in SCB form, we propose a disturbance decoupled fault detection observer (DDFDO) which is combined either with Beard–Jones detection filter (BJDF) theory, or input estimation results. This will lead to the final proposed robust fault detection filter. Finally, two numerical examples are given in order to illustrate the validity and effectiveness of the proposed fault detection and isolation (FDI) strategy. Copyright © 2000 John Wiley & Sons, Ltd.

show abstract

Design of unknown input observers and robust fault detection filters

Cited by 723 publications

References 22 publications

Sampled-data sliding mode observer for robust fault reconstruction: A time-delay approach

Sampled-data sliding mode observer for robust fault reconstruction: A time-delay approach

On sliding mode observers for systems with unknown inputs

Robust fault detection and isolation via a diagnostic observer

Contact Info

Product

Resources

About