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Frequency domain measurement and identification of linear, timevarying systems

Thursday, 24 March, 2011 - 15:00
Campus: Brussels Humanities, Sciences & Engineering campus
John Lataire
phd defence

System identification is a ubiquitous tool in engineering sciences. It allows for the extraction of a mathematical description of physical systems based on noisy measurements. Examples are a bridge, an aircraft, a mobile phone, a chemical plant, an electric motor, etc.

Systems that have a time-dependent dynamic behaviour are called time-varying. An academic example is a pendulum, the rod of which has a variable length. If the length of this rod changes while the pendulum oscillates, the frequency of oscillation also changes. An alteration of the resonance frequency is an example of a time-varying behaviour.

First, simple tools exploiting the properties of periodic excitations are developed for detecting and quantifying the time-dependent properties of the system. Then, more involved algorithms are constructed to obtain a complete mathematical description of the time-dependent dynamic behaviour of the system.