By Ke Zhang
Due to the expanding protection and reliability call for of exact business technique keep watch over platforms, the examine on fault analysis and fault tolerant keep an eye on of dynamic platforms has got significant awareness. Fault lodging (FA) is one in all powerful equipment that may be used to augment procedure balance and reliability, so it's been commonly and in-depth investigated and turn into a scorching subject in contemporary years.
Fault detection is used to watch even if a fault happens, that's step one in FA. at the foundation of fault detection, fault estimation (FE) is applied to figure out on-line the significance of the fault, that is a vital step as the extra controller is designed utilizing the fault estimate. in comparison with fault detection, the layout problems of FE could raise much, so study on FE and lodging is especially difficult. even if there were developments stated on FE and lodging for dynamic structures, the typical equipment at the moment degree have layout problems, which restrict functions of respective layout approaches.
Therefore, the issues of FE and lodging are had to be extra studied. This publication considers the speculation and know-how of FE and lodging for dynamic platforms, and establishes a systemic and complete framework of FE and lodging for continuous/discrete-time systems.
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Additional resources for Observer-Based Fault Estimation and Accomodation for Dynamic Systems
Sample text
2) L(y(t) ˆ − y(t)) − H(y(t ˆ − d(t)) − y(t − d(t))) ⎩ y(t) ˆ = Cx(t) ˆ ˆ ∈ R p is the observer output, fˆ(t) ∈ Rr where x(t) ˆ ∈ Rn is the observer state, y(t) is an estimate of actuator fault f (t), and L, H ∈ Rn×p are the gain matrices to be designed. 3) For the time-varying time-delay system, the CAFE algorithm based is firstly presented. , f˙(t) = 0, is only considered based on the conventional algorithm, it is obtained that e˙ f (t) = f˙ˆ(t). 1. 7) results in the state estimation error ex (t) and FE error e f (t) asymptotically convergent.
2 provides problem statement. 4 respectively give FE observer and FA design for the loss of actuator effectiveness. 6. 2 Problem Statement Consider the following linear time-invariant system: x(t) ˙ = Ax(t) + Bu(t) y(t) = Cx(t) K. : Observer-Based Fault Estimation and Accomodation, LNCIS 436, pp. 51–60. 1) 52 4 Fast FA for Loss of Actuator Effectiveness where x(t) ∈ Rn is the state, u(t) ∈ Rm is the input and y(t) ∈ R p is the measurable output. , p ≥ m. A, B and C are known constant real matrices of appropriate dimensions.
2 that the ξ (t) converges to the set ξ (t) ξ (t) ≤ according to Lyapunov staσ bility theory. Therefore, the state estimation error ex (t) an FE error e f (t) are uniformly ultimately bounded. 2. 10) because of the introduced free variables N1 , N2 , which is suitable to a wider class of time-varying delay systems. 1 such that 0 t T −h t+θ e˙x (s)Z e˙x (s) dsdθ can be added. 1, there is not the quadratic term of e f (t) in the proof and its stability is guaranteed by LyapunovLaSalle theory.