A two-timescale neurodynamic approach to robust distributed model predictive control for nonlinear systems

In this paper, a robust distributed model predictive control strategy is proposed for nonlinear dynamical systems affected by bounded disturbances. Grounded on sequential quadratic programming, a two-timescale recurrent neural network paradigm is deployed for solving minimax optimization problems. Sufficient criteria for the two-timescale recurrent neural network are delineated, which specifically guarantee its stability and optimality. Under these conditions, it is demonstrated that the recurrent neural network converges to optimal solutions, thereby enhancing the robustness of the control strategy. The simulation results exhibit significantly enhanced convergence in comparison to the mono-timescale recurrent neural network.