  For affine linear parameter-varying (LPV) systems, this paper develops two
parameter reduction methods for reducing the dimension of the parameter space.
The first method achieves the complexity reduction by transforming the affine
LPV system into a parameter-ordered form and establishing an affine upper bound
of the system Gramians, which is extended to time-varying rate-bounded
parameters. The second method is based on considering the sensitivity function
of the transfer function and time evolution equations. Both methods are applied
to an academic example and a thermal model. Simulation results together with
some analysis are given.
