Robust fault detection of dynamic systems via genetic algorithms

Patton, Ron J.; Chen, J.; Liu, G.P.

doi:10.1049/cp:19951100

Cited by 12 publications

(14 citation statements)

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“…By the Schur complement lemma, since U i = P 2i P −1 3i P T 2i , (12) implies P 1i − KP 2i P −1 3i P T 2i K T > 0, from which we have P i = P 1i KP 2i * P 3i > 0. Therefore, based on Theorem 3.1, we conclude that the exponential stability and the H ∞ performance of system (5) are guaranteed.…”

Section: T (T)p I M ηI M T ηI P I η(T) + ε 1 G T (T)g(t) (20)mentioning

confidence: 68%

“…Remark 1 As mentioned in paper [5,6,28], the frequency ranges of fault and noise are normally different. For an incipient fault signal, the fault information is contained within a low-frequency band as the fault development is slow, whilst the noise comprises mainly high-frequency signals.…”

Section: Assumptionmentioning

confidence: 99%

“…Over the past three decades, model-based fault detection and isolation (FDI) has been receiving considerable attention, and a lot of approaches have been developed, see [1][2][3][4][5][6] and references therein. The modelbased fault diagnosis system comprises two stages: residual generation and decision-making.…”

Section: Introductionmentioning

confidence: 99%

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Reduced-order fault detection filter design for switched nonlinear systems with time delay

Liu

Yuan

2011

Nonlinear Dyn

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This paper investigates the problem of reduced-order robust fault detection filter (RFDF) design for a class of switched nonlinear systems with time-varying delay. The nonlinearities are assumed to satisfy global Lipschitz conditions. By using a generalized form of observer-based fault detection filter as a residual generator, the problem is formulated in the framework of H ∞ filtering. Based on the average dwell time approach and the Lyapunov functional technique, a sufficient delay-dependent criterion on the existence of the RFDF is derived to ensure the exponential stability and a prescribed L 2 -gain bound of the residual error system. Furthermore, the parameters of an admissible filter are obtained from the solution of a convex optimization problem. A practical example is provided to illustrate the effectiveness of the proposed results.

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Section: T (T)p I M ηI M T ηI P I η(T) + ε 1 G T (T)g(t) (20)mentioning

confidence: 68%

Section: Assumptionmentioning

confidence: 99%

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Reduced-order fault detection filter design for switched nonlinear systems with time delay

Liu

Yuan

2011

Nonlinear Dyn

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“…For this optimization scheme we have developed a twostage optimization algorithm which is a combination of genetic algorithm [35,36] and Nelder-Mead simplex method [10,26]. Genetic algorithm is good at searching for the right direction for global optimum but has slow convergence, while Nelder-Mead simplex method is good at searching for small neighborhood.…”

Section: Lemma 11 Supposementioning

confidence: 99%

Optimal Robust Fault Detection for Linear Discrete Time Systems

Liu

Zhou

2007

Journal of Control Science and Engineering

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This paper considers robust fault-detection problems for linear discrete time systems. It is shown that the optimal robust detection filters for several well-recognized robust fault-detection problems, such as H − /H ∞ , H 2 /H ∞ , and H ∞ /H ∞ problems, are the same and can be obtained by solving a standard algebraic Riccati equation. Optimal filters are also derived for many other optimization criteria and it is shown that some well-studied and seeming-sensible optimization criteria for fault-detection filter design could lead to (optimal) but useless fault-detection filters.

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“…The problems concerning observer-based robust fault detection includes minimizing the influence of the disturbance and maximizing the influence of faults. Such a robust fault detection problem can be converted into some optimization problems with performance indices often expressed by H 2 or H ∞ norms (see, Patton and Liu [10], Zhong and Ding and their co-authors [11,12], Frisk and Nielsen [13]). To solve the optimization, some investigators employed genetic algorithms [3], some researchers applied the well-established H 2 and H ∞ control theories [13], while other investigators utilized LMI approaches to the minimization of the H ∞ and H 2 norms [11,12].…”

Section: Introductionmentioning

confidence: 99%

Robust fault detection in linear systems based on full-order state observers

Duan

2007

J. Control Theory Appl.

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A parametric approach to robust fault detection in linear systems with unknown disturbances is presented. The residual is generated using full-order state observers (FSO). Based on an analytical solution to a type of Sylvester matrix equations, the parameterization of the observer gain matrix is given. In terms of the design degrees of freedom provided by the parametric observer design and a group of introduced parameter vectors, a sufficient and necessary condition for fullorder state observer design with disturbance decoupling is then established. By properly constraining the design parameters according to this proposed condition, the effect of the disturbance on the residual signal is also decoupled, and a simple algorithm is developed. The presented approach offers all the degrees of design freedom. Finally, a numerical example illustrates the effect of the proposed approach.

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Robust fault detection of dynamic systems via genetic algorithms

Cited by 12 publications

References 0 publications

Reduced-order fault detection filter design for switched nonlinear systems with time delay

Reduced-order fault detection filter design for switched nonlinear systems with time delay

Optimal Robust Fault Detection for Linear Discrete Time Systems

Robust fault detection in linear systems based on full-order state observers

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