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

By Yong-ming Li, Tingting Yang, Shaocheng Tong. IEEE Transactions on Neural Networks and Learning Systems, 2019

308 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/35e4c3eecccdb42af446702c2c898e879e23fbff