By H. G. Natke (eds.)

System identity is a robust software in engineering. Its numerous tools within the frequency and within the time area were commonly mentioned in previous CISM classes. the purpose of this direction is to explain the cutting-edge in particular software parts, corresponding to estimation of eigenquantities (in the aerospace undefined, in civil engineering, in naval engineering etc.), noise resource detection, fault detection by means of research of dynamic houses, reminiscent of laptop sound features, and the id of the dynamic behaviour of circulate prompted structures (e.g. aerolastic problems). Geotechnical functions also are one of the fields of curiosity. The lecture notes comprise demonstrations of a number of equipment and contain a valuation through combining different types of adventure. Such advanced info comprises not just theoretical features of identity but in addition suggestion on sensible dealing with, for instance referring to checking out attempt and information handling.

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9/). As all excitation energy ie located in one eingle frequency, a high eignal-to-noise ratio ie attained. The favourable peak-to-rms ratio allows one to study excitation level dependenciee of system parametere. Thie ie essential for the detection and the analyeie of non-linear eyetem behaviour. Another advantage of stepped-eine excitation ie the variable frequency resolution, which can eaeily be adapted to the measured eyetem reeponee. The main disadvantage of this excitation method ie that after a step in the frequency range, the experimentalist hae ·to wait for the traneient system reeponee to die out before 47 Introducdon he can measure the steady-state response.

4 Test model The definition of the test model is contained in Fig. 5. The test planning in general takes into consideration the a priori knowledge of system analysis and experience with comparable structures. It should contain an optimization of test signals and locations of pickups with respect to the test object and the (predicted) dynamic behaviour. The test is carried out with the real structure {or a dummy) which is adequately supported. The structure is generally equipped with attached exciters and pickups.

Natke - N. Cottin It is obvious that the joint pdf of the samples requires knowledge of the covariance matrix of the measurement noise. 2'3/. The classification of the estimation methods mentioned is shown in Fig. 8. A state estimation may sometimes be necessary in addition to parameter estimation. '31) y(t) • Cx(t) + a(t) . The observation of y(t) is done during the time interval [O,T) and we vant to determine an estimate of x(t) denoted by ~(tiT). 25/). We have to distinguish three cases: t >T t • T t

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