Dynamic output feedback guaranteed cost control for linear systems with interval time-varying delays in states and outputs

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• 作者：M.V. Thuan^a ; ^{maithuank1@gmail.com} ; V.N. Phat^b ; H.M. Trinh^c
• 关键词：Dynamic output feedback ; Exponential stabilization ; Interval time-varying delays ; Linear matrix inequality ; Lyapunov function
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：1 July, 2012
• 卷：218
• 期：21
• 页码：10697-10707
• 文件大小：277 K

摘要

This paper addresses the dynamic output feedback guaranteed cost control problem of a class of time-delay systems where the state and output contain interval non-differentiable time-varying delays. The proposed controller uses only the delayed output measurement to stabilize the closed-loop system and guarantee an adequate level of system performance. By constructing a set of multiple Lyapunov-Krasovskii functionals which include triple-integral terms, a new criterion for the existence of dynamic output feedback guaranteed cost controllers is established and expressed in terms of linear matrix inequality (LMI). A numerical example is given to illustrate the obtained results.