On the Stabilization and Observer Design of Polytopic Perturbed Linear Fractional-Order Systems
Omar Naifar, Abdellatif Ben Makhlouf
Abstract
In this paper, the problem of stabilization and observer design of parameter-dependent perturbed fractional-order systems is investigated. Sufficient conditions on the practical Mittag–Leffler and Mittag–Leffler stability are given based on the Lyapunov technique. Firstly, the problem of stabilization using the state feedback is developed. Secondly, under some sufficient hypotheses, an observer design which provides an estimation of the state is constructed. Finally, numerical examples are provided to validate the contributed results.
Topics & Concepts
Control theory (sociology)Observer (physics)MathematicsStability (learning theory)State (computer science)Lyapunov functionState observerOrder (exchange)Computer scienceNonlinear systemControl (management)AlgorithmFinanceQuantum mechanicsPhysicsArtificial intelligenceEconomicsMachine learningFractional Differential Equations SolutionsAdvanced Differential Equations and Dynamical SystemsMathematical and Theoretical Epidemiology and Ecology Models