Control Strategy for Time-Delay Systems

Chapter Eleven: Robust output feedback control of linear state-delayed systems using dynamic IQCs

Xiangming Xue^a; Chengzhi Yuan^b; Fen Wu^a    aDepartment of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC, United States^bDepartment of Mechanical, Industrial and Systems Engineering, University of Rhode Island, Kingston, RI, United States

Abstract

This chapter is concerned with the robust output feedback control problem for a class of linear systems with time-varying state delay. Dynamic integral quadratic constraints (IQCs) are employed to characterize the input–output behavior of the state-delay nonlinearity. The robust stability and the ${\mathcal{L}}_2$-gain performance are first explored using a quadratic Lyapunov function. ...