On fractional \(PI^{\lambda }\) controllers: Some tuning rules for robustness to plant uncertainties

From MaRDI portal
Publication:2499412

DOI10.1007/s11071-004-3767-3zbMath1134.93338OpenAlexW2052250649WikidataQ58423058 ScholiaQ58423058MaRDI QIDQ2499412

Antonio J. Calderon, Vicente Feliu, Yang Quan Chen, Blas Manuel Vinagre, Concepción Alicia Monje

Publication date: 14 August 2006

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-004-3767-3




Related Items (35)

Impact of fractional order methods on optimized tilt control for rail vehiclesThe generalised isodamping approach for robust fractional PID controllers designImproving the position control of a two degrees of freedom robotic sensing antenna using fractional-order controllersFractional-order \(PI\) control of first order plants with guaranteed time specificationsNew tuning rules for fractional PI\(^\alpha\) controllersSet‐point weight tuning rules for fractional‐order <scp>PID</scp> controllersStability Margins and <scp>H C</scp>o‐Design with Fractional‐Order <scp>PI</scp>λ ControllersForce Control of an Electrohydraulic Actuator Using a Fractional‐Order ControllerLoop‐Shaping and Easy Tuning of Fractional‐Order Proportional Integral Controllers for Position Servo SystemsTime Domain Tuning of Fractional Order Controllers Combined With a Smith Predictor for Automation of Water Distribution in Irrigation Main Channel PoolsEffects on the chaotic system of fractional order \(PI^{\alpha }\) controllerNew tuning design schemes of fractional complex-order PI controllerFractional-order controller design for oscillatory fractional time-delay systems based on the numerical inverse Laplace transform algorithmsH∞ optimization-based fractional-order PID controllers designDesign of robust fractional PID controller using triangular strip operational matricesRobust fractional-order [proportional integral derivative controller design with specification constraints: more flat phase idea] ⋮ Algorithm of robust stability region for interval plant with time delay using fractional order \(PI^{\lambda }D^{\mu }\) controllerOn selection of improved fractional model and control of different systems with experimental validation\(H_\infty\) design with fractional-order \(PD^\mu\) controllersOn the robust control of stable minimum phase plants with large uncertainty in a time constant. A fractional-order control approach$$ {\text{H}}_{{\infty }} $$ Design with Fractional-Order $$ {\text{PI}}^{\uplambda } {\text{D}}^{\upmu } $$ Type ControllersInversion-based feedforward and reference signal design for fractional constrained control systemsStabilization of unstable fixed points of chaotic fractional order systems by a state fractional PI controllerDesign of a class of fractional controllers from frequency specifications with guaranteed time domain behaviorApproximation of high order integer systems by fractional order reduced-parameters modelsA novel PID control with fractional nonlinear integralController design for integer and fractional plants using piecewise orthogonal functionsRobustness analysis and design of fractional order Iλ Dμ controllers using the small gain theoremModel reference adaptive control in fractional order systems using discrete-time approximation methodsImproving integral square error performance with implementable fractional‐order PI controllersA knowledge‐supported improvement of the PSO methodBode optimal loop shaping with CRONE compensatorsFractional order [proportional derivative controller for a class of fractional order systems] ⋮ Stabilisation of unstable FOPDT processes with a single zero by fractional-order controllersRobust stability region of fractional order PIλcontroller for fractional order interval plant


Uses Software


Cites Work


This page was built for publication: On fractional \(PI^{\lambda }\) controllers: Some tuning rules for robustness to plant uncertainties