Reduced order bilinear time invariant systems using singular perturbation

Model order reduction of bilinear time invariant systems based on H_∞ norm or least upper bound of difference equation is presented in this paper. The difference equation of the bilinear time invariant system is presented as error transfer function between full order and reduced order of the bilinear time invariant system. The proposed method is graphically easier than using alteration of Hankel singular values. The least upper bound of the error transfer function and H_∞ norm of difference bilinear system are a function of controllability gramian. In this paper, the reduced bilinear system is carried out by using singular perturbation method. The numerical simulation results are given to clarify the proposed method for selection of reduced order bilinear time invariant system.