A novel order diminution of LTI systems using Big Bang Big Crunch optimization and Routh Approximation

A novel computer aided method is presented that yields Linear Time Invariant Reduced Order System (LTI-ROS). This is accomplished by using the combined benefits of Big Bang Big Crunch (BBBC) optimization and Routh Approximation (RA) method. The applicability of the proposed method for both Single Input Single Output (SISO) and Multiple Input Multiple Output (MIMO) Linear Time Invariant (LTI) systems is verified by solving numerical examples. Furthermore, the results show that the realized LTI-ROS retain stability and steady state conditions of original system. The reduced order system also exhibits lower Integral Square Error (ISE) values.