Regular Papers
International Journal of Control, Automation, and Systems 2025; 23(3): 683-691
https://doi.org/10.1007/s12555-023-0740-9
© The International Journal of Control, Automation, and Systems
Regulation of Feedforward Nonlinear Systems Under Unknown Time-varying Multiple Delays via Dynamic Gain Control
We consider a state feedback regulation problem for nonlinear systems with multiple unknown timevarying delays in the input. The considered perturbed nonlinearity has feedforward terms and unknown growth rate. To deal with unknown multiple delays, we propose a newly designed adaptive state feedback controller by utilizing the dynamic gain. We also describe how this system can be globally regulated using our control method and Lyapunov stability analysis. The effectiveness of our method is clearly illustrated via numerical and practical examples under known time-varying multiple delays.
Keywords Dynamic gain control, feedforward nonlinear systems, state feedback regulation, unknown time-varying multiple delays.
PDF
Standard view
Export citation
Share Article
Regular Papers
International Journal of Control, Automation, and Systems 2025; 23(3): 683-691
Published online March 1, 2025 https://doi.org/10.1007/s12555-023-0740-9
Copyright © The International Journal of Control, Automation, and Systems.
Regulation of Feedforward Nonlinear Systems Under Unknown Time-varying Multiple Delays via Dynamic Gain Control
Sang-Young Oh and Ho-Lim Choi*
Dong-A University
Abstract
We consider a state feedback regulation problem for nonlinear systems with multiple unknown timevarying delays in the input. The considered perturbed nonlinearity has feedforward terms and unknown growth rate. To deal with unknown multiple delays, we propose a newly designed adaptive state feedback controller by utilizing the dynamic gain. We also describe how this system can be globally regulated using our control method and Lyapunov stability analysis. The effectiveness of our method is clearly illustrated via numerical and practical examples under known time-varying multiple delays.
Keywords: Dynamic gain control, feedforward nonlinear systems, state feedback regulation, unknown time-varying multiple delays.
Vol. 23, No. 3, pp. 683~972
