A Frequency-Domain Identification Algorithm for MIMO Fractional Order Systems with Time-Delay in State

Abstract

The system identification problem of Multi-Input Multi-Output fractional order systems with Time-Delay is studied. A Frequency-Domain identification algorithm is presented, which combines genetic algorithm and subspace method for fractional order systems with time-delay in state. The genetic algorithm is used to identify fractional differential order and Time-Delay parameter. And the state space model is obtained by using frequency-domain subspace method when fractional differential order and time-delay parameter are fixed. Numerical simulation results validate the proposed algorithm.

Untitled

“…The initial condition in the state-space technique was introduced in [65] while authors in [66] illustrated subspace method for MIMO system and verified on robot manipulator. The frequencydomain approach using a genetic algorithm was depicted in [67]. Another state-space based approach was detailed using Guidorzi canonical form in [68] based on OE technique.…”

Ideal, Simplified and Inverted Decoupling of Fractional Order TITO Processes

“…Upon viewing these works, it can be seen that although some methods seem simple for integer order cases, it is usually not straightforward to be extended to FO cases, especially for multi-inputmulti-output (MIMO) FO systems. Some examples may be MIMO FO identification and minimum realizations, [10,20,23]. To explore the potential of de-centralized controllers and inject new perspectives to the development of FO controls, this paper investigates the extension of the decoupling techniques from integer order to fractional order, through which, some new issues are discussed, such as the properness of the fractional order decouplers, and the frequency-dependent relative gain array (RGA) for MIMO FO processes.…”