Online Identification and Control of Nonlinear System Using Adaptive Matching Pursuit with Wavelet Bases

Complexity of adaptive control of nonlinear time varying systems, requires the use of novel methods that have lower computational complexity as well as insuring good performance under time varying parameter changes. In this paper we use adaptive matching pursuit algorithm with wavelet bases for an online identification and control of nonlinear time varying system. As an illustration of the performance of the proposed method using wavelets, we have applied the algorithm on two different benchmark examples of nonlinear system resulting in good performance. Simulation results show that the proposed algorithm using adaptive matching pursuit with wavelet bases, yields also in good performance in case of time varying systems.

Keywords:

Online identification , adaptive matching pursuit , wavelet