Adaptive predictive control based on wavelet approximation models

Song Zhihuan, Li Ping, Sun You-xian · 2002

Discusses approximate modelling and adaptive control of discrete time linear time-varying systems (LTVS). A novel model, the representation of LTVS in the wavelet time-frequency space, is established based on discrete wavelet transforms. The joint time-frequency properties of wavelet analysis are appropriate for describing the nonstationary characteristic of LTVS. In this model parameter estimation is fulfilled by means of some algebraic calculations. Finally, an adaptive predictive control scheme is proposed based on this representation. Simulation results demonstrate its good behaviour.

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