摘要：This paper proposes different design strategies of robust
controllers for high-order plants. The design is tailored on the
structure of the equations resulting from modeling flexible
structures by using modal coordinates. Moreover, the control laws
have some characteristics which make them specially suited for
active vibration reduction, such as strong stabilization property
and bandpass frequency shape. The approach is also targeted the case
of more sensors than actuators, which is very frequent in practical
applications. Indeed, actuators are often rather heavy and bulky,
while small and light sensors may be placed more freely. In such
cases, sensors can be usefully placed in the locations where the
primary force fields act on the structure, so as to provide the
controller with a direct information on the disturbance effects in
terms of structural vibrations. Eventually, this approach may lead
to uncolocated control strategies. The design problem is here solved
by resorting to a Linear Matrix Inequality technique, which allows
also to select the performance weights based on different design
requirements, for example, a suitable bandpass frequency shape.
Experimental results are presented for a vibration reduction problem
of a stiffened aeronautical panel controlled by piezoelectric
actuators.
