Parametric control of quasi-linear systems by output feedback

In this paper, a general parametric approach is proposed for a type of quasi-linear systems, which provides a simple controller parametrization in the form of quasi-linear output feedback, and also gives general complete parametric expressions for the left and right closed-loop eigenvectors. An important consequence of this controller is that the closed-loop system is a linear constant one with desired eigenstructure. The controller parametrization and the general expressions of closedloop eigenvectors are given in terms of a matrix F, which possesses the desired closed-loop eigenvalues, and a parameter matrix Z. In practical applications, both parameter matrices F and Z can be optimized simultaneously to achieve additional requirements on the closed-loop system.