By Ke Zhang
Due to the expanding safeguard and reliability call for of tangible commercial technique keep watch over platforms, the learn on fault prognosis and fault tolerant keep an eye on of dynamic structures has acquired substantial awareness. Fault lodging (FA) is one in every of powerful equipment that may be used to augment approach balance and reliability, so it's been greatly and in-depth investigated and develop into a sizzling subject in fresh years.
Fault detection is used to observe 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's a vital step as the extra controller is designed utilizing the fault estimate. in comparison with fault detection, the layout problems of FE may raise much, so examine on FE and lodging is particularly difficult. even though there were developments said on FE and lodging for dynamic structures, the typical equipment at present level have layout problems, which restrict purposes of respective layout approaches.
Therefore, the issues of FE and lodging are had to be additional studied. This booklet considers the idea and expertise of FE and lodging for dynamic structures, 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
Note that the FE and FA can be independently designed based on the separation property. To the best of our knowledge, the separation property has not been developed in any FE and accommodation design. The rest of this chapter is organized as follows. 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.
0017 . 0008 . 0213 Case 2. Slow time varying delay. we consider slow time-varying delay case in order to compare the FE performances using the FAFE algorithm with CAFE one. 6. 0044. 0017 . 0008 . 0213 We illustrate the results with two kinds of faults. 1. 1, we can see that the proposed FAFE algorithm can achieve asymptotical estimation for constant fault f (t). 05 0 0 1 2 3 4 5 6 Time (s) 7 8 9 10 Fig. 2, it is shown that FE is still quite accurate. 4 0 1 2 3 4 5 6 Time (s) 7 8 9 10 Fig. 1 0 0 1 2 3 4 5 6 Time (s) 7 8 9 10 Fig.
2. The FAFE algorithm contains the derivative of ey (t), this method is feasible when e˙y (t) can be obtained. But if it can not be easily obtained for certain systems, we should resort to other alternative methods. In order to develop the proposed method, we introduce e˙y f (t) as a substitute for e˙y (t) . 3. 20) Therefore, it is easy to show that the substitute e˙y f (t) can approximate to e˙y (t) with any desired accuracy as τ → 0. , t → ∞, e˙y f (t) asymptotically converges to e˙y (t).