Detection of faulty components via robust observation

Ge, Wenjun; Fang, Chuan

doi:10.1080/00207178808906033

Cited by 149 publications

(36 citation statements)

References 7 publications

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“…(1986), Wuennenberg andFrank (1986, 1988), Patton et at. (1986), Viswanadham and Srichander (1987), Frank (1987Frank ( a, 1987Frank ( b, 1990), Ge and Fang (1988), Ding and Frank (1989), Wuennenberg (1990), Seliger and, and Frank et at. (1991).…”

Section: P M Frankmentioning

confidence: 94%

Enhancement of robustness in observer-based fault detection†

Frank¹

1994

International Journal of Control

284

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Section: P M Frankmentioning

confidence: 94%

Enhancement of robustness in observer-based fault detection†

Frank¹

1994

International Journal of Control

284

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“…Failure detection and isolation (FDI) systems must detect and isolate the non-zero occurrence among different combinations of the elements of dðtÞ; and usually need a band of detectors of structure (2). It is required that each detector has its state zðtÞ ) TxðtÞ even though its designated and corresponding elements of dðtÞa0 [11][12][13]. Let us assume without loss of generality that B is also the gain of system (1a) to dðtÞ (or elements of dðtÞ).…”

Section: The Matrix Equation Pair and Its Applicationsmentioning

confidence: 99%

An overview of the applications and solutions of a fundamental matrix equation pair

Tsui

2004

Journal of the Franklin Institute

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“…Among the two sufficient conditions for the existence of exact solution, the simpler condition m > p (p is the column rank of B di ) was used to derive a far more satisfactory design solution [77] to a 4th order and four-state-fault water tank fault detection and identification system, first proposed in [78]. Once the fault identification is achieved, the subsequent fault control against the identified fault(s) is relatively easy (just like the prescription of remedy is relatively easy if the diagnosis is specific).…”

Section: Observers For Input Fault Detection and Identificationmentioning

confidence: 99%

Observer design — A survey

Tsui

2015

Int. J. Autom. Comput.

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This paper surveys the results of observer design for linear time-invariant (L-T-I) deterministic irreducible open-loop systems (OLS), the most basic type of OLS. An observer estimates Kx x x(t) signal where K is a constant and x x x(t) is the state vector of the OLS. Thus, an observer can be used as a feedback controller that implements state feedback control (SFC) or Kx x x(t)-control, and observer design is therefore utterly important in all feedback control designs of state space theory. In this survey, the observer design results are divided into three categories and for three respective main purposes. The first category of observers estimate signal Kx x x(t) only with a given K, and this survey has four conclusions: 1) Function observer that estimates Kx x x(t) directly is more general than state observer that estimates x x x(t), and may be designed with order lower than that of state observer, and the additional design objective is to minimize observer order; 2) The function observer design problem has already been simplified to the solving of a single set of linear equations only while seeking the lowest possible number of rows of the solution matrix, and an apparently most effective and general algorithm of solving such a problem can guarantee unified upper and lower bounds of the observer order; 3) Because such a single set of linear equations is the simplest possible theoretical formulation of the design problem and such theoretical observer order bounds are the lowest possible, and because the general, simple, and explicit theoretical formula for the function observer order itself do not exist, the theoretical part of this design problem is solved; 4) Because the function observer order is generically near its upper bound, further improvement on the computational design algorithm so that the corresponding observer order can be further reduced, is generically not worthwhile. The second category of observers further realize the loop transfer function and robustness properties of the direct SFC, and the conclusion of this survey is also fourfold: 1) To fully realize the loop transfer function of a practically designed Kx x x(t)-control, the observer must be an output feedback controller (OFC) which has zero gain to OLS input; 2) If parameter K is separately designed before the observer design, as in the separation principle which has been followed by almost all people for over half of a century, then OFC that estimates Kx x x(t) does not exist for almost all OLS s; 3) As a result, a synthesized design principle that designs an OFC first and is valid for almost all OLS s, is proposed and fully developed, the corresponding K will be designed afterwards and will be constrained by the OFC order as well as the OFC parameters; 4) Although the Kx x x(t)-control is constrained in this new design principle and is therefore called the "generalized SFC" (as compared to the existing SFC in which K is unconstrained), it is still strong enough for most OLS s and this new design principle overcomes many fund...

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Detection of faulty components via robust observation

Cited by 149 publications

References 7 publications

Enhancement of robustness in observer-based fault detection†

Enhancement of robustness in observer-based fault detection†

An overview of the applications and solutions of a fundamental matrix equation pair

Observer design — A survey

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