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Asymptotic stabilization via output feedback for nonlinear systems with delayed output
Authors:Xianfu Zhang  Chenghui Zhang  Zhaolin Cheng
Affiliation:1. School of Control Science and Engineering , Shandong University , Jinan, 250100, P.R. China zhangxianfu@sdai.edu.cn;3. Department of Math and physics , Shandong Institute of Architecture and Engineering , Jinan, 250014, P.R. China;4. School of Mathematics and System Science , Shandong University , Jinan, 250100, P.R. China
Abstract:We propose a novel and simple design scheme of output feedback controller for a class of nonlinear systems with delayed output. The nonlinear systems considered here are more general than feedforward systems (upper triangular systems). By constructing an appropriate Lyapunov–Krasovskii functional (LKF) and solving linear matrix inequalities (LMIs), the delay-dependent controller making the closed-loop system globally asymptotically stable (GAS) is explicitly constructed. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.
Keywords:Feedforward nonlinear systems  Time-delay systems  Output feedback  Linear matrix inequalities  Lyapunov–Krasovskii functionals
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