Citation :

Oleg Gasparyan, Nerses Nersisyan, Haykanush Darbinyan, Ovanna Ohanyan, Mariam Darakhchyan, Vahan Manukyan, Mkrtich Harutyunyan, Davit Danielyan, "Sensitivity Analysis of Uniform Control Systems," International Journal of Electrical and Electronics Engineering, vol. 13, no. 9, pp. 159-173, 2026. Crossref, https://doi.org/10.14445/23488379/IJEEE-V13I9P113

Abstract

This study develops a sensitivity framework tailored to uniform multivariable control systems, whose identical dynamic channels are interconnected through a constant numerical coupling matrix. The analysis is carried out using the Characteristic Transfer Functions (CTFs) method. Unlike a general MIMO system, a uniform system contains two structurally distinct sources of parameter variation: changes in the channel transfer functions and changes in the cross-connection matrix. These two cases are examined separately. First-order formulas are obtained for the variations of the CTFs and the canonical basis directions. It is shown that perturbations confined to the identical channel dynamics leave the nominal canonical basis unchanged, whereas perturbations of the coupling matrix generally modify both its eigenvalues and eigenvectors and therefore alter the effective gains and canonical directions of the characteristic systems. Relations connecting the sensitivity functions of the open-loop and closed-loop characteristic systems are also established. The results are illustrated by a sensitivity analysis of a uniform indirect guidance system of a space astronomical space telescope.

Keywords

Multivariable control system, Uniform system, Characteristic Transfer Functions, Canonical basis, Sensitivity, Parameter perturbation.

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