Synthesizing robust mode shapes with μ and implicit model following

Abstract

Control synthesis problems involving assignment of closed-loop model shapes using implicit model following (IMF) structure are considered in the context of H_2, H∞ , and μ-synthesis theories. An extension to the dynamic output feedback case is given for the quadratic or H_2 IMF problem. The IMF problem is embedded within the framework of μ control theory, and extensions for including uncertainty are discussed. A robust synthesis methodology is presented using μ theory. An application of the robust IMF synthesis methodology to modal shape assignment for the longitudinal axis of a helicopter is demonstrated.

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