A distributed parameter dependent control design for a flexible beam problem

This paper considers the analysis and synthesis of a distributed parameter dependent controller designed for a parameter-varying spatially interconnected system. It is assumed that the distributed linear parameter varying system depends on spatial varying parameters in linear fractional manner. The controller takes a similar structure as the system. Since the dependence is in linear fractional form, the. controller synthesis condition is characterized in terms of linear matrix inequalities, which are convex optimization problems for which efficient computation techniques are readily available. This distributed control approach is demonstrated on a flexible beam problem with nonuniform cross-section geometry.