SYNTHESIS FRACTIONAL ORDER CONTROLLERS FOR ELECTROMECHANICAL SYSTEMS

Abstract

The design of electromechanical systems upon application of fractional order controllers
significantly enhances possibilities in comparison with the classic controllers. In order to find efficient
alternative models for implementing fractional order controllers there has been conducted a research into
their dynamic properties on the basis of Riemann, Riemann-Liouville and Grunwald-Letnikov
representations. When considering electromechanical systems with fractional controllers that generate
control actions for different electrical machines, the major problem to be solved is the work of such
controllers in real time and with the high speed dynamic processes. Given well-developed implementation of
integer order controllers in both analog and digital performance, the problem of synthesized fractional order
controllers technical implementation in such systems can be solved on condition of making equivalent
substitution (approximation) of their transfer functions into integer order transfer functions. Implementation
of integral and differential parts of fractional order PIλD
μ– controllers has been carried out on the basis of
Oustaloup transformation, which provides significantly higher performance and simplicity of the procedure
when compared with computational models, based on Riemann, Riemann-Liouville and Grunwald-Letnikov
representations. Computer research of algorithm and implementation program of differential and integral
fractional order parts has proven the effectiveness of the proposed approach to implementation of fractional
order controllers that can operate in real time within highly dynamic electromechanical systems. Testing of
frequency converter option of MFC 710 fractional order PIλD
- controller in the speed control system by
using the set of Twerd company has proven its effectiveness in terms of expanding regulatory properties of
such controller in comparison with traditional PID - controller.