Stable Robust Fixed-Order Controller Design for Scalar and Multi-Output Systems

Mori, Shoma; Nobuyama, Eitaku

doi:10.23919/sice56594.2022.9905829

Cited by 1 publication

(2 citation statements)

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“…Let us rewrite (10) for each from intervals, where the considered piecewise linear function is defined, by taking into account (11) and (12)…”

Section: Fig 1 Piecewise Linear Approximation Of Drive Nonlinearitymentioning

confidence: 99%

“…Modern developments in control theory are based on some control methods which allow us to study control system motions [7,8], [9], stability of these motions [10,11], and design controllers to form the desired motions [12,13], [14]. The problem of controllers' design is compounded by the presence of external and internal disturbances and/or uncertainties.…”

Section: Introductionmentioning

confidence: 99%

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Information support to solve direct dynamic problem for the previouslydisturbed electromechanicalsystems

Voliansky,

Sadovoi,

Tolochko

et al. 2024

HAIT

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The article is devoted to the creation of methodological foundations for solving a direct problem of dynamics for linear dynamic systems, the motion of which is described by ordinary differential equations with nonzero initial conditions. Consideration of the motions of linear dynamic systems allows to simplify the mathematical apparatus used and to solve motion determination problems by using a known approach based on transfer functions. However, due to the fact that the classical definition of transfer functions does not involve taking into account non-zero initial conditions, which are caused by the presence of initial deviations of the coordinates of the control object from their desired values, in our work we use the Laplace-Carson transformation to find the corresponding images and write the equations of motion in operator form. This approach, in contrast to the generally acceptedone, led to the introduction of information about the initial conditions of motion in the right-hand side of the corresponding operator differential equations and necessitated the generalization of the vector of control signals by including in it components that take into account the initial conditions of motion of the system under consideration. Such transformations made it possible to generalize the concept of a matrix transfer function as a matrix linear dynamic operator, which consists of two components that define disturbed free and controlled forced movements. The use of such an operator makes it possible to study the dynamics of the considered linear system both separately for each of the components of the generalized vector of controlling influences, and in the complex, thus solving the direct problem of the dynamics of linear systems.

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“…Let us rewrite (10) for each from intervals, where the considered piecewise linear function is defined, by taking into account (11) and (12)…”

Section: Fig 1 Piecewise Linear Approximation Of Drive Nonlinearitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Information support to solve direct dynamic problem for the previouslydisturbed electromechanicalsystems

Voliansky,

Sadovoi,

Tolochko

et al. 2024

HAIT

View full text Add to dashboard Cite

show abstract

Stable Robust Fixed-Order Controller Design for Scalar and Multi-Output Systems

Cited by 1 publication

References 4 publications

Information support to solve direct dynamic problem for the previouslydisturbed electromechanicalsystems

Information support to solve direct dynamic problem for the previouslydisturbed electromechanicalsystems

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