New Approaches to Minimum-Energy Design of Integer- and Fractional-Order Perfect Control Algorithms

• Main Authors: Hunek Wojciech P., Wach Łukasz
• Format: Article
• Language: English
• Published: EDP Sciences 2017-01-01
• Series: E3S Web of Conferences
• Online Access: https://doi.org/10.1051/e3sconf/20171901036

In this paper the new methods concerning the energy-based minimization of the perfect control inputs is presented. For that reason the multivariable integer- and fractional-order models are applied which can be used for describing a various real world processes. Up to now, the classical approaches have been used in forms of minimum-norm/least squares inverses. Notwithstanding, the above-mentioned tool do not guarantee the optimal control corresponding to optimal input energy. Therefore the new class of inversebased methods has been introduced, in particular the new σ- and H-inverse of nonsquare parameter and polynomial matrices. Thus a proposed solution remarkably outperforms the typical ones in systems where the control runs can be understood in terms of different physical quantities, for example heat and mass transfer, electricity etc. A simulation study performed in Matlab/Simulink environment confirms the big potential of the new energy-based approaches.