Quasi-linear eigenstructure assignment — A case study

In this paper, the type of two dimensional affine nonlinear system which is treated by Erdem and Alleyne (IEEE Trans. Control Systems Technology, 2004) is further generalized and investigated. It is first shown that this type of systems are very general affine nonlinear systems, and then control of this type of systems is considered with the quasi-linear eigenstructure assignment approach. As a result, the proposed controller is simpler and the closed-loop system is a linear one with constant eigenvector matrices, hence global asymptotical stability of the closed-loop system is ensured.