Geomatics, Natural Hazards and Risk (2018)
Gupta Sharad Kumar, Shuka Dericks P., and Thakur Manoj
By Rydel Marek, Stanisławski Rafał, Latawiec Krzysztof J., and Gałek Marcin
IFAC PapersOnLine (2018)
This paper presents an approach to model order reduction of linear time-invariant discrete-time commensurate fractional-order state space systems by means of the Balanced Truncation Approximation and Singular Perturbation Approximation methods. Mathematical formulas for computation of controllability and observability Gramians for the fractional-order systems are derived. This enables an extension of classical SVD-originated model order reduction algorithms to model reduction of discrete-time fractional-order state space systems. Simulation experiment illustrates the efficiency of the introduced methodology.
Rydel M., Stanisławski R., Latawiec K., and Gałek M. (2018) Model order reduction of commensurate linear discrete-time fractional-order systems. IFAC PapersOnLine, 51, 536-541.