Order Reduction of Linear Dynamic Systems Using Improved Generalise Least-squares Method and Pso

The authors present an algorithm for order reduction of linear dynamic SISO systems using the combined advantages of the improved generalise Least squares method and error minimization by Particle Swarm Optimization technique (PSO). The denominator of the reduced order model is obtained by improved generalise least squares method and PSO is employed for determining numerator coefficients by minimizing the integral square error between the transient responses of original and reduced order models, pertaining to unit step input. The reduction procedure is simple, efficient and computer oriented. The algorithm is illustrated with the help of two numerical examples to highlight the advantages of the approach and the results are compared with the other existing techniques.