A novel nonlinear mapping is introduced to address the fixed-time control problem of nonlinear systems with full state constraints, and a fixed-time control design method is proposed using the nonlinear mapping method. Firstly, We establish a mathematical model of a nonlinear system with full state constraints; Secondly, by combining time-varying state constraints and using nonlinear mapping techniques, the system with existing constraints is transformed into a corresponding unconstrained system; Then, a fixed-time control law based on backstepping is designed using a radial basis function neural network; Finally, the stability of the system is demonstrated using Lyapunov theory, and the effectiveness and feasibility of the proposed control method are verified through specific simulation examples.
GUO Qing,cAI Mingjie, WANG Baofanga,b
. Fixed-time Control of Nonlinear Systems with Full State Constraints Systems[J]. Complex Systems and Complexity Science, 2026
, 23(1)
: 153
-159
.
DOI: 10.13306/j.1672-3813.2026.01.019
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