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

2020/03/30 by Pouya Badri, Badri, Pouya, Mahdi Sojoodi +1
Engineering · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Design #Control Systems and Identification #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2004.00392

openalex publication_date 2020/03/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

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&lt;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 systems 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. Eventually, a numerical example with simulations is presented to demonstrate the effectiveness and correctness of the theoretical results.

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