Harmonic control based on Hadamard product LMI approach

In this paper, in terms of Matrix Hadamard product a new control model is proposed for regulating connection coefficients of the state variables of the systems. It combines the traditional feedback compensation and the direct regulations for the connections of system states. The solution of control law to stabilize the systems via the regulations of connection coefficients can be obtained via a bilinear matrix inequality (BMI) involved Hadamard product. Under a certain conditions, we translate the BMI into a linear matrix inequality (LMI). Finally, we present some algebraic results when the matrices A₁, A₂ have some special characters.