Toward Symbolic Representation and Analysis of Parameter Varying Control Systems
Amera Mahmoud Abd-AlRahem, Hala Samir Elhadidy, Kamel Elserafi, Hassen Taher Dorrah · 2018
This paper investigates the problem of fully symbolic-based representation for parameter varying systems. Despite the widespread of numerical analysis, it is less efficient compared to symbolic-based methods. Nevertheless, symbolic-based methodologies suffer from high complexity raw output expressions which make it difficult to be dealt with in control applications and also lack of readiness of the symbolic-based software. In this paper, an intermediate manipulation stage is presented to cross the gap between the symbolic software and the mathematical experience. By comparing the new idea with the previous work, the presented work facilitates the estimation of system response in terms of symbolic model varying parameters, which produce more generality in understanding system behavior.