An LMI Based Dynamic Output Feedback Controller Design for Robust Stabilization and L2 Gain Analysis of a Class of Nonlinear Interconnected Systems

Abstract

In this paper, we consider the dynamic output feedback control within the LMI framework for robust stabilization and L2 gain analysis of a class of interconnected systems composed of linear subsystems and nonlinear timevarying interconnections satisfying quadratic constraints. By a novel decentralized structure of dynamic output feedback, we propose a sufficient LMI condition. And a design method is applied for solving BMI problem to obtain the feedback gain matrix. An example of inverted pendulums is used to illustrate the applicability of design method.