scholarly journals Numerical solution of fractional variable order linear control system in state-space form

2017 ◽  
Vol 65 (5) ◽  
pp. 715-724
Author(s):  
W. Malesza ◽  
M. Macias
Keyword(s):  
Numerical Solution ◽  
State Space ◽  
Control Systems ◽  
Space Form ◽  
Linear Control ◽  
Linear Control Systems ◽  
Variable Order ◽  
Matrix Approach ◽  
Analog Model ◽  
Order Linear

Abstract The aim of this paper is to introduce a matrix approach for approximate solving of non-commensurate fractional variable order linear control systems in state-space form. The approach is based on switching schemes that realize variable order derivatives. The obtained numerical solution is compared with simulation and analog model results.

Fractional Vector-Order h-Realisation of the Impulse Response Function

2020 ◽  
Vol 14 (2) ◽  
pp. 108-113
Author(s):  
Ewa Pawłuszewicz
Keyword(s):  
Control Systems ◽  
Impulse Response ◽  
Response Function ◽  
Impulse Response Function ◽  
Linear Control ◽  
Linear Control Systems

AbstractThe problem of realisation of linear control systems with the h–difference of Caputo-, Riemann–Liouville- and Grünwald–Letnikov-type fractional vector-order operators is studied. The problem of existing minimal realisation is discussed.

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