Solution of Equations of State and Output Feedback for a Line Transmission Via Invariant Subspaces

The objective of this paper is to find a solution by output feedback static for state matrices representing a transmission line whose parameters longitudinal do not take into account the effects of frequency. The transmission line is represented by a cascade of π circuits, and the results presented are based on the concept of (C, A, B)-invariance and on the coupled Sylvester equations. We present algorithms for computation of the output feedback matrix based on eigenvalues assignment techniques. The simulations are performed in MATLAB.