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Adaptive Neural Networks Finite-Time Optimal Control for a Class of Nonlinear Systems

2019; Institute of Electrical and Electronics Engineers; Volume: 31; Issue: 11 Linguagem: Inglês

10.1109/tnnls.2019.2955438

2162-2388

Yongming Li, Tingting Yang, Shaocheng Tong,

Iterative Learning Control Systems

This article addresses the finite-time optimal control problem for a class of nonlinear systems whose powers are positive odd rational numbers. First of all, a finite-time controller, which is capable of ensuring the semiglobal practical finite-time stability for the closed-loop systems, is developed using the adaptive neural networks (NNs) control method, adding one power integrator technique and backstepping scheme. Second, the corresponding design parameters are optimized, and the finite-time optimal control property is obtained by means of minimizing the well-defined and designed cost function. Finally, a numerical simulation example is given to further validate the feasibility and effectiveness of the proposed optimal control strategy.