  The complexity of adaptive control of nonlinear time-varying systems requires
the use of novel methods that have lower computational complexity as well as
ensuring good performance under time-varying parameter changes. In this study,
we use adaptive matching pursuit algorithm with wavelet bases for an online
identification and control of the nonlinear system with time-varying
parameters. We apply the proposed online identification and control scheme to
two different benchmark examples of nonlinear system identification and
control. Simulation results show that the proposed algorithm, using adaptive
matching pursuit with wavelet bases, can effectively identify and control the
nonlinear system even in presence of time-varying parameters.
