DecentralizedH∞Control for Uncertain Interconnected Systems of Neutral Type via Dynamic Output Feedback

Heli Hu,Dan Zhao

doi:10.1155/2014/989703

Abstract

The design of the dynamic output feedbackH∞control for uncertain interconnected systems of neutral type is investigated. In the framework of Lyapunov stability theory, a mathematical technique dealing with the nonlinearity on certain matrix variables is developed to obtain the solvability conditions for the anticipated controller. Based on the corresponding LMIs, the anticipated gains for dynamic output feedback can be achieved by solving some algebraic equations. Also, the norm of the transfer function from the disturbance input to the controlled output is less than the given index. A numerical example and the simulation results are given to show the effectiveness of the proposed method.

Highlights

With the development of engineering systems, nowadays the systems become more and more complex and large
The H∞ control problem for uncertain interconnected systems of neutral type is investigated via decentralized dynamic output feedback
Based on the Lyapunov stability theory, we develop a new technique to deal with the nonlinearity problem of certain matrix variables appearing in the solvable conditions of dynamic output feedback H∞ control

Summary

Introduction

With the development of engineering systems, nowadays the systems become more and more complex and large. In [18], Kwon et al propose a few delay-dependent stability criteria for uncertain neutral systems with time-varying delays, in which the augmented Lyapunov-Krasovskii functional is constructed and the reciprocal convex optimization approach is introduced. To the authors’ best knowledge, there is little literature on designing dynamic output feedback control for interconnected systems of neutral type. The H∞ control problem for uncertain interconnected systems of neutral type is investigated via decentralized dynamic output feedback. Based on the Lyapunov stability theory, we develop a new technique to deal with the nonlinearity problem of certain matrix variables appearing in the solvable conditions of dynamic output feedback H∞ control. The effectiveness of the proposed method is elucidated by a numerical example and the simulation results

Problem Formulation

Main Result

Illustrative Example

Conclusion