Output-feedback stabilisation of output-constrained high-order nonlinear systems with high-order and low-order nonlinearities

Kemei Zhang, You Wu and Xue-Jun Xie

International Journal of Systems Science, 2025, vol. 56, issue 16, 4035-4054

Abstract: This paper investigates output-feedback stabilisation of n-dimensional output-constrained high-order nonlinear systems with high-order and low-order nonlinearities. By constructing new nonlinear mappings, a crucial coordinate transformation, integral Lyapunov functions and an observer, skillfully combining adding a power integrator technique and introducing a novel analysis method, a continuous output-feedback controller is designed to guarantee that all the closed-loop signals are uniformly bounded, output constraint is not transgressed, and the equilibrium point of the closed-loop system is uniformly asymptotically stable. A simulation example shows the effectiveness of this control scheme.

Date: 2025
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DOI: 10.1080/00207721.2025.2482004

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