Modeling of Fractional-Order Integrators and Differentiators Using Tustin-Based Approximations and Model Order Reduction Techniques

DOI10.1007/978-3-319-45474-0_25zbMath1425.93065OpenAlexW2509578690MaRDI QIDQ5236994

Rafał Stanisławski, Marek Rydel, Marcin Gałek, Krzysztof J. Latawiec

Publication date: 16 October 2019

Published in: Lecture Notes in Electrical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-45474-0_25

zbMATH Keywords

discrete-time systemsapproximationfractional-order system

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Frequency-response methods in control theory (93C80) Fractional derivatives and integrals (26A33) System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (2)

Integer-fractional decomposition and stability analysis of fractional-order nonlinear dynamic systems using homotopy singular perturbation method ⋮ Balanced truncation model order reduction in limited frequency and time intervals for discrete-time commensurate fractional-order systems

Cites Work

• Accuracy-enhancing methods for balancing-related frequency-weighted model and controller reduction.
• Two direct Tustin discretization methods for fractional-order differentiator/integrator.
• Model reduction for control system design
• A comparative analysis of Laguerre-based approximators to the Grünwald-Letnikov fractional-order difference
• New Laguerre filter approximators to the Grünwald-Letnikov fractional difference
• A frequency weighted model order reduction technique and error bounds
• Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• A new frequency-weighted balanced truncation method and an error bound
• Discretization schemes for fractional-order differentiators and integrators
• Normalized finite fractional differences: Computational and accuracy breakthroughs
• Approximation of Large-Scale Dynamical Systems

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