Applications of Eigenstructure Assignment to Design of Robust MIMO (Multi Input Multi Output) Decoupling Controllers and to Reconfiguration Algorithms for Damaged Flight Control Systems

摘要

A matrix treatment of eigenstructure assignment theory as applied to the generalized linear time invariant system is presented. New geometrical interpretations of the constraints on selecting desired closed loop right and left eigenvectors as functions of the open loop system parameters are then shown to give qualitative measures on the computational complexity of selecting the vectors. Numerical optimization schemes are then presented which satisfy these geometric interpretations for subsequent encoding of an interactive eigenstructure synthesis program, EIGENS. Robust decoupling controllers are then synthesized via EIGENS. A new theoretical application of eigenstructure assignment to reconfiguring damaged digital flight controllers is then presented. The thesis concludes with reconfigured solution demonstrations as applied to the F/A-18 aircraft. Keywords: Multivariable Control; Robust Controllers; Eigenstructure Assignment; Reconfiguring Controllers.