Akademik Veri Yönetim Sistemi
CONTROL ENGINEERING AND APPLIED INFORMATICS, cilt.20, sa.2, ss.14-21, 2018 (SCI-Expanded)
Multiple linear uncertainty models mainly appear at linear time invariant system modelling of cascaded process and this uncertainty structure complicates parametric robust stability analyses of real control systems. To address this problem, this study presents a robust stability analysis scheme for fractional order control system models including multiple linear uncertainty structures. A numerical method, which is based Edge Theorem, has been utilized for the robust stability analysis of fractional order multiple linear uncertain control systems. For this purpose, exposed edge scan sampling approach is used to obtain a image of root region boundaries of fractional order multiple linear uncertain control systems in complex s-domain, and an extension of exposed edge scan sampling is proposed for root locus analyses of fractional order closed loop control systems involving multiple linear uncertainty structures. In the paper, types of linear uncertainties are discussed briefly and multiple versions of these uncertainties are studied for fractional order closed loop control in detail. An application of proposed method for closed loop control systems is numerically demonstrated via illustrative examples. It is observed in this study that exposed edge sampling approach can be an effective method for robust stability analysis of complicated uncertainty structures and it presents potential of decreasing computational complexity in robust stabilization problems of uncertain fractional order control systems.