This paper investigates the finite-time preview saturated control
problem for linear parameter-varying systems with input saturation. The
external disturbances and input saturation, previewable reference
signals, and parameter variations are considered simultaneously. First,
using the error system method, we construct an augmented error system
with previewed information. This transforms the finite-time preview
saturated control problem into a finite-time stabilization problem.
Next, static output-feedback controllers are used to guarantee the
finite-time boundedness of the closed-loop system. Sufficient conditions
guarantee the existence of the desired controllers are obtained using
linear matrix inequalities. At last, we use a numerical simulation to
show the proposed design method's effectiveness.