Work

Global Funnel Control of Nonlinear Systems with Unknown and Time-Varying Fractional Powers

Year: 2025

Type: article

Abstract: This paper is concerned with the global funnel control (FC) issue of the nonlinear systems with unknown dynamics and time-varying fractional powers. An FC strategy is proposed in this paper, which not only yields uniform performance insurance under any initial condition of the control system but also leads to a continuous and amplitude-reduced control input with respect to the existing solutions. Besides, it exhibits prominent simplicity, with no need for parametric details of time-varying fractional powers, adding a power integrator technique, parameter identification, function approximation or derivative calculation. A comparative simulation demonstrates the effectiveness and superiority of the developed method.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9100648

Authors: Rui-Bo Gao, Xuefeng Zhang, Hyo-Sung Ahn, Vardulakis Antonis

Institutions: State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Gwangju Institute of Science and Technology, Aristotle University of Thessaloniki

Language: English

Topic: Adaptive Control of Nonlinear Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China, Fundamental Research Funds for the Central Universities