An Evolutionary Optimization Technique for Time Domain Modelling

Abstract

The authors proposed an evolutionary-optimization technique known as the Genetic Algorithm (GA) for the optimization and order reduction of high order systems (HOSs) in the time domain. As we know a lot of optimization techniques are available in the frequency domain but limited in the time domain. The proposed technique is applicable for time-domain systems. The reduced model (RM) obtained by the proposed technique can be replaced with the original HOS as it retains all the important time and frequency response specifications of the original HOS. The efficacy of the proposed method has been tested on few numerical examples from the literature. The important time and frequency response specifications of the proposed RM are compared with RM obtained by recent techniques using MATLAB/Simulink. The proposed algorithm is applicable for Single-input single-output (SISO) and multi-input multi-output (MIMO) linear, nonlinear, time-invariant, and time-variant systems.