Interval Modeling of Zeta Converter Using Interval Arithmetic and Model Order Reduction

In this contribution, a method of interval modeling for the Zeta converter. The state-space averaging (SSA) technique is used to find the output to control the interval transfer function for the Zeta converter. The SSA technique obtains the combined state-space description. The deviation in physical parameters is present in the system due to uncertainties and imperfect modeling. This paper takes the Zeta converter parameter in variation load resistance. Using interval arithmetic method are obtained interval transfer, and the fourth-order interval transfer function is calculated in terms of duty ratio to the output voltage. Further, the direct truncation method reduces the order of the given fourth-order test case to first, second and third-order systems, respectively. Impulse and step response are plotted, and integral absolute error (IAE) is calculated for the lower and upper limit of the reduced-order transfer function. The results presented prove the applicability and effectiveness of the proposed method.