کنفرانس مهندسی برق ایران

صفحه اصلی / سی و چهارمین کنفرانس بین المللی مهندسی برق

A novel LMI-based Method for Robust Stabilization of Fractional-order Interval Systems with 1≤α<2

نویسندگان :

Pouya Badri¹ Mahdi Sojoodi²

1- دانشگاه تربیت مدرس 2- دانشگاه تربیت مدرس

کلمات کلیدی :

Fractional-order system،interval uncertainty،null-space،linear matrix inequality (LMI)،robust stabilization،dynamic output feedback

چکیده :

This paper deals with the problem of robust dynamic output feedback stabilization of interval fractional-order linear time-invariant (FO-LTI) systems with the fractional order 1≤α<2. In this study, a new formulation based on the null-space analysis of the system matrices is proposed using linear matrix inequalities (LMIs). The applied uncertain model is the most complete model of linear interval systems, in which all of the system matrices are interval matrices. A robust dynamic output feedback controller is designed that asymptotically stabilizes the interval FO-LTI system, where no limiting constraint is assumed on the state-space matrices of the uncertain system. The LMI-based approach of developing robust stabilizing control is preserved in spite of the complexity of assuming the most complete model of an uncertain system, including an interval output matrix C and the most complete model of a linear controller, including a direct feedthrough parameter. Eventually, a numerical example with simulations is presented to demonstrate the effectiveness and correctness of the theoretical results.