In this paper, a method is presented for the derivation oftuneable multivariable controllers for application to amagnetic bearing/rotor system. Controller designspecifications are considered that use H￥ optimisationcriteria with linear parameter dependent shapingfunctions. Linear matrix inequality (LMI) techniquesare used to synthesise controllers that satisfy the H￥design specification over the range of parameter valuesusing a convex interpolation of vertex controllers. Inthis way the design parameters that determine theshaping functions can be adjusted on-line to tune theperformance and robustness characteristics of thecontroller. Specific performance measures that areconsidered are those of rotor synchronous vibrationlevels, transmitted force levels, base motion rejection, aswell as controller stability margins. The effectiveness ofsuch an approach for the synthesis of tuneable H￥controllers for a rotor/magnetic bearing system isevaluated.
展开▼
