Global output tracking control for high-order non-linear systems with time-varying delays

Alimhan K. Tasbolatuly N. Yerdenova A.
15 July 2021 Little Lion Scientific

Journal of Theoretical and Applied Information Technology
2021 #99 Issue 13 3337 - 3352 pp.

This paper studies the problem of global practical output tracking for a class of high-order non-linear systems with time-varying delays under the weaker conditions on the system nonlinearities. With the help of an appropriate Lyapunov-Krasovskii functionals and by using the method of adding a power integrator, a continuous state-feedback controller is successfully designed such that all the states of the resulting close loop system are bounded while the output tracking error converges to an arbitrarily small residual set. A numerical example demonstrates the effectiveness of the result.

Lyapunov-Krasovskii Functionals , Nonlinear Systems , Practical Output Tracking , State Feedback Control , Time-Varying Delays

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L.N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan
Tokyo Denki University, School of Science and Engineering, Saitama, Japan
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Astana International University, Nur-Sultan, Kazakhstan

L.N. Gumilyov Eurasian National University
Tokyo Denki University
Al-Farabi Kazakh National University
Astana International University

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