Neural-Based Decentralized Robust Control of Large-Scale Uncertain Nonlinear Systems with Guaranteed H_infinity Performance

This paper investigates an application of Neural Networks (NNs) to the decentralized guaranteed H∞ performance for a class of large-scale uncertain nonlinear systems. In order to guarantee the adequate H∞ performance level for the nonlinear systems, nonlinear linear matrix inequality (NLMI) condition is derived. The linear matrix inequality (LMI) approach instead of the NLMI is used to construct the decentralized local state feedback controllers with additive gain perturbation. The novel contribution is that in order to avoid H∞ performance degradation caused by the uncertainty, NNs are substituted into the additive gain perturbations. Although the NNs are included in the large-scale uncertain nonlinear systems, it is newly shown that the closed-loop system is internally stable and the adequate H∞ performance bound is attained. Finally, a numerical example is given to verify the efficiency.