Toward Symbolic Representation and Analysis of Parameter Varying Control Systems

Abd-AlRahem, Amera Mahmoud; Elhadidy, Hala; Elserafi, Kamel Ahmed; Dorrah, Hassen T.

doi:10.1109/mepcon.2018.8635271

Cited by 1 publication

(4 citation statements)

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“…According to [2], a straightforward systematic method for symbolic derivation of state space solution is presented. An attempt to exploit the method for solving large state space models unfortunately shows severe shortcomings in speed and resources usage due to high dimension matrix manipulations with its related prospects of running out of available memory [19].…”

Section: Problem Statementmentioning

confidence: 99%

“…Numerical technique is based on analyzing the system for several sample points and it is assumed that the results also hold for all the values among them [2]. It is considered to be more approximate solutions compared to symbolic solutions.…”

Section: Introductionmentioning

confidence: 99%

“…Setiawan et al [17] proposed a steady state symbolic analysis for buck converter which gives the exact calculation of steady state output with no need for transient response evaluation. Abd-Alrahem et al [2] examined the problem of fully symbolic representation and analysis for parameter varying systems (PVS). The simulation results were carried out on the drug concentration pharmacokinetics and proportional-derivative action in the retina.…”

Section: Introductionmentioning

confidence: 99%

“…The proposed technique has the ability to deal with large complex systems through partitioning the original matrices, then each sub-matrix is treated separately with the appropriate methods and assembled eventually altogether. Hence, speeding up the process and reduce the computational complexity problem found in [2].…”

Section: Introductionmentioning

confidence: 99%

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Fully symbolic-based technique for solving complex state-space control systems

Abd-AlRahem

Elhadidy

Elserafi

et al. 2021

IJECE

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Despite the superiority of symbolic approaches over the purely numerical approaches in many aspects, it does not receive the proper attention due to its significant complexity, high resources requirement and long drawn time which even grows significantly with the increase of model dimensions. However, its merits deserve every attempt to overcome the difficulties being faced. In this paper, a fully generic symbolic-based technique is proposed to deal with complex state space control problems. In this technique, depending on the model dimension if exceeds a predefined limit, the state space is solved using the partitioned matrices theory and block wise inversion formula. Experimental results demonstrate that the proposed technique overcomes all the previously mentioned barriers and gives the same results when compared to numerical methods (Simulink). Moreover, it can be used to gain useful information about the system itself, provides an indication of which parameters are more important and reveals the sensitivity of system model to single parameter variations.

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Section: Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%