Analysis of fractional order systems using newton iteration-based approximation technique

<span lang="EN-US">Fractional differential equations play a major role in expressing mathematically the real-world problems as they help attain good fit to experimental data. It is also known that fractional order controllers are more flexible than integer controllers. But when it comes numerical approximation of functions inaccuracies arise if conversion technique not chosen properly. So, plant model approximated an system, required be accurate, overall system performance based on estimated model. Nitisha-Pragya-Carlson (NPC) recent proposed 2018 derive rational differ-integrators. In this paper, three models having powers 3.1, 1.25 and 1.3 analyzed frequency domain terms magnitude phase response. The third second NPC studied compared with developed using other existing technique. error calculated by comparing response ideal has been found all examples very much close values. Hence proving efficacy systems.</span>