An LMI Approach to Guaranteed Cost Control of Networked Control Systems with Nonlinear Perturbation
This paper is concerned with the problem of state-feedback guaranteed cost controller design for uncertain networked systems with both network-induces delay and data dropout taken into consideration. The sufficient condition for the existence of the networked guaranteed quadratic cost controller is obtained in terms of matrix inequalities, and the controller design method is deduced in terms of linear matrix inequalities. Furthermore, the suboptimal networked guaranteed cost controller design method is obtained with cone complementarity linearization algorithm. A numerical example is given to illustrate the proposed method.
N. Xie and B. Xia, "An LMI Approach to Guaranteed Cost Control of Networked Control Systems with Nonlinear Perturbation", Key Engineering Materials, Vols. 480-481, pp. 1352-1357, 2011