Eigenstructure assignment in high-gain feedback systems

Using the two-time scale property of a high-gain feedback system, the set of closed-loop eigenvectors which can be assigned by linear state-variable feedback corresponding to a prescribed set of eigenvalues is characterised in the paper. Algorithms to compute the feedback matrix for assigning eigenvalues and eigenvectors are described. The above algorithmic procedure for eigenstructure assignment suggests an elegant way of selecting weighting matrices in linear-quadratic optimal control problems and of computing the optimal feedback matrix without solving the Riccati equation; it will also assign a given eigenstructure