Chen, Weisheng; Li, Junmin Backstepping tracking control for nonlinear time-delay systems. (English) Zbl 1158.93334 J. Syst. Eng. Electron. 17, No. 4, 846-852 (2006). Summary: Two design approaches of state feedback and output feedback tracking controllers are proposed for a class of strict feedback nonlinear time-delay systems by using backstepping technique. When the states of system cannot be observed, the time-delay state observer is designed to estimate the system states. Domination method is used to deal with nonlinear time-delay function under the assumption that the nonlinear time-delay functions of systems satisfy Lipschitz condition. The global asymptotical tracking of the reference signal is achieved and the bound of all signals of the resultant closed-loop system is also guaranteed. By constructing a Lyapunov-Krasoviskii functional, the stability of the closed-loop system is proved. The feasibility of the proposed approach is illustrated by a simulation example. Cited in 4 Documents MSC: 93B51 Design techniques (robust design, computer-aided design, etc.) 93B52 Feedback control 93D30 Lyapunov and storage functions Keywords:nonlinear time-delay systems; tracking control; Lyapunov-Krasoviskii function; backstepping PDFBibTeX XMLCite \textit{W. Chen} and \textit{J. Li}, J. Syst. Eng. Electron. 17, No. 4, 846--852 (2006; Zbl 1158.93334) Full Text: DOI