Eigen-structure problem optimization for multirate, multi-input multi-output systems applied to a roll rate autopilot

In this paper, an optimal solution to the eigen-structure problem that dramatically reduces the control effort required for a multi-input multi-output (MIMO) multirate system is proposed. This technique not only minimize the amplitude of state transmission and control signal changes but also reduce the sensitivity to the effects of internal sampling in multirate MIMO systems results from interactions of the model order reduction. In this study, a constrained eigen-structure method with nonlinear constraints is used. The novelty of this study is that by using partial derivatives, a gain optimization process to optimize the nonlinearly constrained eigen-structure method is proposed. First, this method is explained, and then the desired method is applied for optimization operations, and finally, the results will be shown with a numerical example and a simulation.