Eigenstructure synthesis algorithm

This chapter discusses eigenstructure assignment. The algorithm sequentially constructs the specified eigenstructure while allowing maximal flexibility in the specification of eigenvalues/eigenvectors and assures the generation of an n-dimensional eigenspace required for the solution. The numerical condition of the eigenstructure being synthesised, which is closely related to the robustness of the resulting solution, is transparent to the designer, through the σ-parameters, as the eigenvectors are sequentially synthesised. The simplicity of the algorithm makes it well suited for computer implementation as an iterative/interactive design tool for multivariable control system synthesis.