GA Based Order Abatement Technique for Linear Dynamic Systems

A hybrid technique of order abatement for Higher Order Linear Dynamic Systems (HOLDSs) is presented in this paper. The denominator polynomial of the original HOLDSs is abated with the help of continued fraction approach, however the diminished numerator is acquired using the Genetic Algorithm. The abated system is achieved by mixing the benefits of the two methods. The objective of the proposed technique is to minimize the Integral Square Error (ISE) and preserve the characteristics of the HOLDS. The proposed technique guarantees the conservation of steady-state stability along with the transient stability of the original HOLDS. A thorough comparative analysis is done with two examples of HOLDSs from the literature. The ISEs, Frequency- response and Time-response are calculated and plotted with the help of Simulink/MATLAB and compared with the other reduction techniques from the literature. The results show that proposed technique gives lesser ISE in contrast to other techniques and also the time response and Frequency response match the original system response very closely.