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Fixed-time stabilisation and tracking control for nonlinear system

delete2026-07-28
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PRE
AI
R
Runhong Wang
J
Jian Chen *
C
Chong Lin
C
Chengxing Lv
B
Bingchuan Xue
DOI:10.1080/00207721.2026.2709359delete
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Abstract

Abstract

En 中文
This paper proposes an adaptive fixed-time control scheme for high-order nonlinear systems, synergising a dual dynamic gain mechanism with a novel integral Lyapunov function. By introducing the improved integral Lyapunov function, the fixed-time controller is designed. Two dynamic gains with decoupled update laws are built to assist in stabilising the closed-loop systems. Theoretical analysis and simulation results demonstrate that the error signals of closed-loop system converge to zero within a prescribed fixed time independent of initial conditions, achieving superior convergence speed and tracking accuracy compared to existing methods.
Keywords:
Fixed-time control
adaptive control
nonlinear systems
integral Lyapunov function

Journal

I
International Journal of Systems Science
IF:
4.6
Papers:
1.1K
Citations:
7.3K

Organization

Q
qingdao university of technology
Scholars:
1.9K
Papers: 651
Citations: 0
Q
qingdao university
Scholars:
6.2K
Papers: 1.8K
Citations: 0