Rapid changes in the behavior of linear systems are usually modeled by sudden jumps in the system's parameters. In this paper, basis expansion techniques are considered to address the more general case, where the transient disturbance cannot be adequately described by simple jumps (piecewise constant parameters). Each parameter's time history is expanded onto a set of basis sequences that can well describe the transient disturbance. Short Time Fourier Transform as well as wavelet bases are investigated to model local cyclostationarity or local erratic behavior of the system's parameters. The resulting time varying system is tested against the time invariant alternative (constant parameters) using variations of the AIC criterion of Astrom's F-test.
|Original language||English (US)|
|Number of pages||6|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|State||Published - Dec 1 1994|
|Event||Proceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4) - Lake Buena Vista, FL, USA|
Duration: Dec 14 1994 → Dec 16 1994