Robust stabilisation of fractional-order interval systems via dynamic output feedback: an LMI approach

DOI10.1080/00207721.2019.1622817zbMath1483.93510arXiv1807.10827OpenAlexW2883723762WikidataQ127779003 ScholiaQ127779003MaRDI QIDQ5026894

Pouya Badri, Mahdi Sojoodi

Publication date: 8 February 2022

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10827

zbMATH Keywords

dynamic output feedbackinterval uncertaintylinear matrix inequality (LMI)fractional-order systemrobust stabilisation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Fractional derivatives and integrals (26A33) Adaptive or robust stabilization (93D21)

Related Items (6)

Guaranteed cost robust output feedback control design for fractional-order uncertain neutral delay systems ⋮ Robust observer-based dissipative control designs for fractional-order one-sided Lipschitz nonlinear systems ⋮ Anti-disturbance observer-based proportional-retarded control design for polytopic uncertain fractional-order systems ⋮ Delay-dependent robust stability analysis of uncertain fractional-order neutral systems with distributed delays and nonlinear perturbations subject to input saturation ⋮ Robust stability analysis of uncertain fractional order neutral-type delay nonlinear systems with actuator saturation ⋮ LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation

Uses Software

• SeDuMi
• YALMIP

Cites Work

• Unnamed Item
• Robust stability of fractional order system with general interval uncertainties
• Robust stability and stabilization of fractional-order linear systems with nonlinear uncertain parameters: an LMI approach
• Synchronization of cellular neural networks of neutral type via dynamic feedback controller
• Pseudo-state feedback stabilization of commensurate fractional order systems
• Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality
• New sufficient conditions for observer-based control of fractional-order uncertain systems
• Robust stabilization criterion of fractional-order controllers for interval fractional-order plants
• LMI stability conditions for fractional order systems
• Non-fragile observer-based robust control for a class of fractional-order nonlinear systems
• Robust stability and stabilization of fractional order interval systems with coupling relationships: the \(0<\alpha<1\) case
• Necessary and sufficient stability condition of fractional-order interval linear systems
• Robust stability region of fractional order PI^λcontroller for fractional order interval plant
• Implementation of fractional-order transfer functions in the viewpoint of the required fractional-order capacitors
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• A robust fractional-order PID controller design based on active queue management for TCP network
• Matlab Guide
• Robust Stability and Stabilization of Fractional-Order Interval Systems: An LMI Approach
• Robust Stability and Stabilization of Fractional-Order Interval Systems with the Fractional Order $\alpha$: The $0≪\alpha≪1$ Case
• Proportional integral-fractional filter controller design for first order lag plus time delay system
• State feedbackH_∞control of commensurate fractional-order systems
• SPECIAL ISSUE ON ‘SMC based observation, identification, uncertainties compensation and fault detection’

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