Order reduction of interval systems using Big bang Big crunch and Routh approximation

Abstract

Today's requirement is a system which is easier to control and simple in nature. Hence, it is desirable to reduce these higher order systems into the lower order system. A system with constant coefficient but uncertain within finite range is known as interval system. A lot of work has been presented in the previous years based on the nature inspired techniques. This paper aims to reduce linear continuous time interval system using mixed evolutionary techniques. The Routh approximation is used to obtain denominator of higher order system using the generalized routh table. The numerator of reduced order system is obtained using Big bang-Big crunch optimization algorithm by minimizing integral square error between original and reduced order system. Reduced order system retains the stability and steady state value of the higher order system. The numerical examples are illustrated and results are compared with the other well known methods.