LMI Criteria for Admissibility and Robust Stabilization of Singular Fractional-Order Systems Possessing Poly-Topic Uncertainties
Xuefeng Zhang, Dong Jia
Abstract
The issue of robust admissibility and control for singular fractional-order systems (FOSs) with polytopic uncertainties is investigated in this paper. Firstly, a new method based on linear matrix inequalities (LMIs) is presented to solve the admissibility problems of uncertain linear systems. Then, a solid criterion of robust admissibility and a corresponding state feedback controller are derived, which overcome the conservatism of the existing results. Finally, for the sake of demonstrating the validity of proposed results, some relevant examples are provided.
Topics & Concepts
Control theory (sociology)Linear matrix inequalityRobust controlMathematicsOrder (exchange)Controller (irrigation)ConservatismFull state feedbackMatrix (chemical analysis)State (computer science)Computer scienceControl (management)Mathematical optimizationControl systemLawEngineeringAlgorithmArtificial intelligenceEconomicsElectrical engineeringComposite materialFinancePolitical sciencePoliticsBiologyMaterials scienceAgronomyAdvanced Control Systems DesignStability and Control of Uncertain SystemsChaos control and synchronization