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| Fixed-time Control of Nonlinear Systems with Full State Constraints Systems |
| GUO Qinga, CAI Mingjiea,b, WANG Baofanga,b
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| a. School of Automation, b. Shandong Provincial Key Laboratory of Industrial Control Technology, Qingdao University, Qingdao 266071, China |
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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.
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Received: 02 November 2023
Published: 13 February 2026
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