Robust H∞ Control for Linear Systems with Delay in State or Input
A Piecewise analysis method technique is proposed to investigate the H∞ control of uncertain systems with time delay in state or input. Firstly, the variation interval of the time-varying delay is divided into several subintervals with equal length. By checking the variation of derivative of the Lyapunov functional in every subinterval, some new criteria on H∞ performance analysis of the systems are derived in terms of the convexity properties of a matrix inequality and some other new analysis techniques. Then, criteria for the H∞ control design are presented, which are concluded from the H∞ performance analysis results. As applications of the derived results, H∞ performance analysis and H∞ control design are carried out for some systems, including a numerical systems and linearized truck trailer system. Discussions show that, the proposed method is effective for these systems and appears much less conservativeness than those given in the existing references.
Piecewise analysis method Time-varying delay LMIs
Engang Tian Xia Zhao Wenning Wang Zhou Gu
School of Electrical and Automation engineering, Nanjing Normal University, Nanjing, 210042, China Nanjing College of Information Technology, Nanjing, 210046, P. R. China College of Power Engineering, Nanjing Normal University, Nanjing, 210042, China
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
2046-2051
2010-05-26（万方平台首次上网日期，不代表论文的发表时间）