Abstract：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.
郭庆, 蔡明洁, 王保防. 含全状态约束的非线性系统固定时间控制[J]. 复杂系统与复杂性科学, 2026, 23(1): 153-159.
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.
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