Synthesizing robust mode shapes with μ and implicit model following

Control synthesis problems involving assignment of closed-loop model shapes using implicit model following (IMF) structure are considered in the context of H₂, 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