Robust Control Algorithm Design for Nonlinear MIMO Systems using MVPA Optimization

In this paper, a new robust control algorithm design is proposed for nonlinear multi-input multi-output (MIMO) systems with unknown fast time-varying parametric uncertainties. First, the system is analyzed using Lyapunov Quadratic Function (LQF) with indefinite time-derivative function. Second, the new MIMO model reference is used with desired characteristics in order to achieve the required performance. Then, a proper controller is constructed to compensate both stability and performance of the system. Afterwards, a new optimization method which is called Most Valuable Player Algorithm (MVPA) is used to optimize both the parameters of the MIMO model reference and the parameters of the proposed controller. Finally, the simulation results substantiate the efficiency of the proposed algorithm by achieving the asymptotic stable and the required performance of the system.