Dj. Leo et Dj. Inman, CONVEX CONTROL DESIGN FOR VIBRATION-INDUCED BY UNCERTAIN EXCITATIONS, Journal of wind engineering and industrial aerodynamics, 71, 1997, pp. 105-119
This paper presents an introduction to convex control methods suitable
for suppressing vibrations induced in flexible structures by wind or
other uncertain excitations. Results on controlling linear systems sub
ject to uncertain inputs using deterministic methods are presented. Th
e results are general, but are illustrated by application to a tuned-m
ass damper system as an example. Rather than using traditional probabi
listic information, the approach presented here treats uncertain loads
as members of a convex set defined by bounds on the maximum values of
the load. A feedback control law is then defined over this set. In pa
rticular, this work addresses the control of flexible structures again
st transient wind loads of known, bounded magnitude. Results are compa
red to a standard linear quadratic Gaussian (LQG) approach.