Output feedback control for quadratic systems: A Lyapunov function approach

This article deals with the design of quadratic and linear dynamic output feedback controllers for systems to ensure, on one hand, local exponential stability origin in closed-loop form and, other increase an estimate basin attraction as large possible. The introduction a term controller allows us consider same class dynamics studied system. Here, our approach is Lyapunov function respect extended state gathering states system controller. induced nonlinear inequalities are treated thanks auxiliary vector repeating adequately by combining distinct linearization techniques finally obtain matrix inequalities. For comparison purposes, we also provide another characterizing belonging polytope space. Numerical examples illustrate results.