Sm. Joshi et al., DESIGN OF DYNAMIC DISSIPATIVE COMPENSATORS FOR FLEXIBLE SPACE STRUCTURES, IEEE transactions on aerospace and electronic systems, 31(4), 1995, pp. 1314-1324
Control system design is considered for attitude control and vibration
suppression of flexible space structures. The problem addressed Is th
at of controlling both the zero-frequency rigid-body modes and the ela
stic modes. Model-based compensators, which employ observers tuned to
the plant parameters, are first investigated. Such compensators are sh
own to generally exhibit high sensitivity to the knowledge of the para
meters, especially the elastic mode frequencies. To overcome this prob
lem, a class of dynamic dissipative compensators is nest proposed whic
h robustly stabilize the plant in the presence of unmodeled dynamics a
nd parametric uncertainties. An analytical proof of robust stability i
s gh en, and a method of implementing the controller as a strictly pro
per compensator is given. Methods of designing such controllers to obt
ain optimal performance and robust stability are presented Numerical a
nd experimental results of application of the methods are presented, w
hich indicate that dynamic dissipative controllers can simultaneously
provide excellent performance and robustness.