Adjoint Transfer Matrix Based Decoupling Control for Multivariable Processes

In this paper, a novel decoupling control scheme based on adjoint matrix is proposed. By introducing the concept of characteristic sequence, the characteristic sequence of both the adjoint transfer matrix and the determinant transfer function are derived from that of original process transfer matrix. The adjoint transfer matrix and determinant transfer function are then determined. Finally, the adjoint matrix is selected as a decoupler, and the decentralized controller is designed for the determinant transfer function. The effectiveness of the proposed design approach is verified by three multivariable industrial processes, which shows that it results in better overall performance compared with other methods.