Integrated design of structure and controller for a class of descriptor systems with input saturation

This paper deals the integrated design problem of structural parameters and dynamic output feedback controller for a class of descriptor systems with input saturation under the maximization of the L₂ stability region and optimization of structural parameters. First, the closed-loop system is described by descriptor form. Restriction of the behavior of the controller output to the linear (non-saturated) region is represented by matrix inequalities. Condition for the L₂ stability region is obtained as a matrix Riccati inequality. Secondly, the Riccati inequality is decoupled into two low-order Riccati inequalities solved consecutively. Finally, the problem is divided into two problems; one is reduced to a convex problem and the other non-convex one.