State-space representation for fractional order controllers

From MaRDI portal
Publication:1571087

DOI10.1016/S0005-1098(00)00011-XzbMath0964.93024OpenAlexW2087975056MaRDI QIDQ1571087

Anissa Zergaïnoh, Henri-François Raynaud

Publication date: 8 July 2001

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(00)00011-x




Related Items (59)

Controllability and Observability of Linear Discrete-Time Fractional-Order SystemsUsing fractional-order integrator to control chaos in single-input chaotic systemsDα‐Type Iterative Learning Control for Fractional‐Order Linear Time‐Delay SystemsOptimal low order model identification of fractional dynamic systemsRobust asymptotical stability of fractional-order linear systems with structured perturbationsOn digital realizations of non-integer order filtersA digraph approach to the state-space model realization of MIMO non-commensurate fractional order systemsFractional integro-differential calculus and its control-theoretical applications. II. fractional dynamic systems: modeling and hardware implementationRobust stability for fractional-order systems with structured and unstructured uncertaintiesFractional-order integral and derivative controller for temperature profile trackingAdaptive sliding control for a class of fractional commensurate order chaotic systemsTuning and implementation methods for fractional-order controllersA numerical algorithm for stability testing of fractional delay systemsRobust stability and stabilization of fractional-order linear systems with nonlinear uncertain parameters: an LMI approachTime response analysis of fractional-order control systems: A survey on recent resultsRobust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequalityComparison between two approximation methods of state space fractional systemsLimited frequency band diffusive representation for nabla fractional order transfer functionsStep response-based identification of fractional order time delay modelsThe classification of the single traveling wave solutions to the time-fraction Gardner equationFractional terminal sliding mode control design for a class of dynamical systems with uncertaintyStabilization of fractional order systems using a finite number of state feedback lawsGlobal asymptotic synchronization of impulsive fractional-order complex-valued memristor-based neural networks with time varying delaysRobust stabilization of fractional-order systems with interval uncertainties via fractional-order controllersMittag-Leffler stability theorem for fractional nonlinear systems with delayRobust stability analysis of nonlinear fractional-order time-variant systems$$ {\text{H}}_{{\infty }} $$ Design with Fractional-Order $$ {\text{PI}}^{\uplambda } {\text{D}}^{\upmu } $$ Type ControllersOn the Electronic Realizations of Fractional-Order Phase-Lead-Lag Compensators with OpAmps and FPAAsExtending the root-locus method to fractional-order systemsGeometric Control and Disturbance Decoupling for Fractional SystemsLimitations of frequency domain approximation for detecting chaos in fractional order systemsFRACTIONAL CALCULUS BASED STABILIZATION TECHNIQUE APPLIED TO SUPPRESS CHAOS IN CHAOTIC CIRCUITSPseudo-state sliding mode control of fractional SISO nonlinear systemsStabilization of unstable fixed points of chaotic fractional order systems by a state fractional PI controllerBlock pulse-based techniques for modelling and synthesis of non-integer systemsA Sufficient Condition for Checking the Attractiveness of a Sliding Manifold in Fractional Order Sliding Mode ControlFractional‐Order Dynamic Output Feedback Sliding Mode Control Design for Robust Stabilization of Uncertain Fractional‐Order Nonlinear SystemsChaos control via a simple fractional-order controllerRevised variational iteration method for solving systems of nonlinear fractional-order differential equationsMultivariable fractional system approximation with initial conditions using integral state space representationRazumikhin stability theorem for fractional systems with delayContinued fraction expansion approaches to discretizing fractional order derivatives-an expository reviewFractional order disturbance observer for robust vibration suppressionChaotic fractional-order Coullet system: synchronization and control approachVariable structure control of linear time invariant fractional order systems using a finite number of state feedback lawSolutions to the sub-optimality and stability issues of recursive pole and zero distribution algorithms for the approximation of fractional order modelsA note on the stability of fractional order systemsFractional order sliding mode control of a pneumatic position servo systemState-space representation for fractional order controllersTaming single input chaotic systems by fractional differentiator-based controller: Theoretical and experimental studyNew Results on the Controllability and Observability of Fractional Dynamical SystemsState space approximation for general fractional order dynamic systemsFractional optimal control problems: a pseudo-state-space approachMore Details on Analysis of Fractional-order Van der Pol OscillatorContainment control of fractional-order multi-agent systems with time-varying delaysA note on the use of the Lambert W function in the stability analysis of time-delay systemsPeriodic disturbance rejection for fractional-order dynamical systemsStability and stabilization of fractional-order linear systems with convex polytopic uncertaintiesStabilisation of unstable FOPDT processes with a single zero by fractional-order controllers



Cites Work


This page was built for publication: State-space representation for fractional order controllers