Characteristic ratio assignment in fractional order systems.
In this paper the characteristic ratios and generalized time constant are defined for all-pole commensurate fractional order systems. The sufficient condition for stability of these systems in terms of their characteristic ratios is obtained. Also an analytical approach for characteristic ratio assignment (CRA) to have a non-overshooting fast closed loop step response is introduced. The proposed CRA method is then employed to design a fractional order controller. Computer simulation results are presented to illustrate the performance of the CRA based designed fractional order controllers.
Tabatabaei
Mohammad
M
Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran. tabatabaei2008@yahoo.com
Haeri
Mohammad
M
D000465:Algorithms; D003198:Computer Simulation; D004581:Electronics; D004867:Equipment Design; D007221:Industry / Q000706:statistics & numerical data*; D008433:Mathematics; D015233:Models, Statistical; D011210:Power Plants