Design of small gain controller via iterative eigenstructure assignment

An iterative eigensturcture assignment is introduced to design a small gain controller. h homotopy concept is adopted to design a secjueilce of neighboring controllers and finally reach the desired closed-loop eigenvalues. To assign target eigenvectors to proper modes, a criterion for the best alignment between t.wo vect,ors is proposed. Numerical examples are given wllicli support this practical value of t.he approach.