Time-varying Bezout identity-based compensation for perturbed MIMO right coprime factorization feedback systems

In this paper, a time-varying Bezout Identity based MIMO systems design using right coprime factorization will be proposed, which contributes to compensating for unexpected perturbation. The algorithm is inspired by homogeneous property of operators, i.e., the dilation occurring in the input can be quantitatively reflected in the output, indicating a measurable relationship between the two. Hence, by designing proper homogeneous operators, the influence on output induced by perturbation could be regarded as a dilation of input, which could be calculated and used as feedback. Moreover, a time-varying Bezout Identity could be formulated given the obtained dilation, by which the perturbation could be compensated. Eventually, the effectiveness of proposed system design will be verified by simulation tests.