Robust Fixed-order Dynamic Output Feedback Controller Design for Fractional-order Systems

TL;DR

This paper presents a method for designing low-order, robust fixed-order dynamic output feedback controllers for uncertain fractional-order systems using LMIs, ensuring stability despite model uncertainties.

Contribution

It introduces a novel LMI-based approach for robust fixed-order controller design for fractional-order systems without restrictive assumptions on system matrices.

Findings

Successfully stabilizes uncertain fractional-order systems

Enables low-order controller design with robustness

Validated by numerical simulations and examples

Abstract

This paper deals with designing a robust fixed-order dynamic output feedback controller for uncertain fractional order linear time invariant (FO-LTI) systems by means of linear matrix inequalities (LMIs). Our purpose is to design a low order controller that stabilizes the fractional-order linear system in the presence of model uncertainties. No limitative constraint on the state space matrices of the uncertain system is assumed in the design procedure. Furthermore, adopting the most complete model of linear controller, with direct feedthrough parameter, does not disturb the LMI-based approach of developing robust stabilizing control. Eventually, the authors illustrate the advantages of the proposed method by some examples and their numerical simulation.