4.6 Article

Adaptive Neural Network-Based Finite-Time Online Optimal Tracking Control of the Nonlinear System With Dead Zone

Journal

IEEE TRANSACTIONS ON CYBERNETICS
Volume 51, Issue 1, Pages 382-392

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2019.2939424

Keywords

Convergence; Nonlinear systems; Control systems; Optimization; Stability criteria; Adaptive systems; Adaptive control; dead zone; finite time; neural network (NN); optimal control

Funding

  1. National Natural Science Foundation of China [51822502, 61622303]
  2. Foundation for Innovative Research Groups of the Natural Science Foundation of China [51521003]
  3. Fundamental Research Funds for the Central Universities [HIT.BRETIV.201903]
  4. 111 Project [B07018]

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An adaptive neural network-based finite-time online optimal tracking control algorithm is proposed for the uncertain nonstrict nonlinear system with dead-zone input. By defining a new state vector and an HJB function, the algorithm successfully guarantees semiglobal practical finite-time stability.
Considering the uncertain nonstrict nonlinear system with dead-zone input, an adaptive neural network (NN)-based finite-time online optimal tracking control algorithm is proposed. By using the tracking errors and the Lipschitz linearized desired tracking function as the new state vector, an extended system is present. Then, a novel Hamilton-Jacobi-Bellman (HJB) function is defined to associate with the nonquadratic performance function. Further, the upper limit of integration is selected as the finite-time convergence time, in which the dead-zone input is considered. In addition, the Bellman error function can be obtained from the Hamiltonian function. Then, the adaptations of the critic and action NN are updated by using the gradient descent method on the Bellman error function. The semiglobal practical finite-time stability (SGPFS) is guaranteed, and the tracking errors convergence to a compact set by zero in a finite time.

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