Sensitivity analysis of CRA based controllers in fractional order systems

Authors:
Mohammad Tabatabaei;Mohammad Haeri
Affiliations:
Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran;Advanced Control Systems Lab, Electrical Engineering Department, Sharif University of Technology, Tehran, Iran
Venue:
Signal Processing
Year:
2012

Citing 6
Cited 0

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Abstract

This paper focuses on robust performance analysis of a closed loop fractional order system through a sensitivity approach. The characteristic ratio assignment method is selected to attain a desired closed loop transient response. Then, we compute the sensitivity of such a desired transfer function with respect to its characteristic ratio and we explore its specifications. The relation between the coefficient diagram shape and the relative stability of the closed loop system is discussed. Also, the closed loop poles variations due to the changes in the characteristic ratios are investigated. Finally, we study a pseudo second order process to verify the robust performance of the characteristic ratio assignment approach with RST control structure.