Bibliography on robust control

Dorato, P.; Tempo, Roberto; Muscato, Giovanni

doi:10.1016/0005-1098(93)90183-t

Cited by 75 publications

(20 citation statements)

References 398 publications

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“…The stability study of an asymptotically stable nominal discrete-time system subjected to perturbations is of considerable interest in control system analysis and design (Dorato et al 1993). These perturbations can be either time varying or time invariant, and they can be either independent or dependent variations (Yedavalli 1988, Kolla er al.…”

Section: Introductionmentioning

confidence: 98%

Improved stability robustness bounds for digital control systems in state-space models

Kolla

1996

International Journal of Control

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CorrespondenceImproved stability robustness bounds for digital control systems in state-space models SRI R. KOLLAt This paper presents stability robustness bounds for linear discrete-time systems with time-invariant perturbations. These bounds extend the previous investigations for independent perturbations to dependent perturbations and provide improved results. I t is shown that the dependent perturbation bound includes an independent perturbation bound previously reported as a special case. These results are illustrated with simple examples.

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Section: Introductionmentioning

confidence: 98%

Improved stability robustness bounds for digital control systems in state-space models

Kolla

1996

International Journal of Control

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“…Other families of polynomials that have been investigated are the segments of polynomials (see [13][14][15][16]). Good references on families of stable polynomials are [3,[17][18][19]. The importance of knowing the abscissa of stability has been pointed out in [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Stability and Multiscroll Attractors of Control Systems via the Abscissa

Díaz-González

Aguirre‐Hernández

López-Rentería

et al. 2017

Mathematical Problems in Engineering

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We present an approach to generate multiscroll attractors via destabilization of piecewise linear systems based on Hurwitz matrix in this paper. First we present some results about the abscissa of stability of characteristic polynomials from linear differential equations systems; that is, we consider Hurwitz polynomials. The starting point is the Gauss-Lucas theorem, we provide lower bounds for Hurwitz polynomials, and by successively decreasing the order of the derivative of the Hurwitz polynomial one obtains a sequence of lower bounds. The results are extended in a straightforward way to interval polynomials; then we apply the abscissa as a measure to destabilize Hurwitz polynomial for the generation of a family of multiscroll attractors based on a class of unstable dissipative systems (UDS) of affine linear type.

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“…To this aim, it can be helpful to resort to several robust stability conditions that are available in the literature (see, e.g. [2][3][4][5][6][7][8][9][10][11][12] and the references therein), exploiting different representations of the mismatch between the nominal and the actual system. Notice that, when the covering of the possible systems through the uncertainty set is too large (e.g.…”

Section: Introductionmentioning

confidence: 99%

A comparison between classical robust stability conditions

Paoletti¹,

Grasselli²,

Menini³

2004

Intl J Robust & Nonlinear

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The paper is focused on the comparison between some classical robust stability conditions for continuous-time linear time-invariant systems. Such conditions are given as lemmas in the paper, since their statements include some generalizations, needed in order to better compare (and use) them. The analysis is carried out by comparing pairwise the families of systems whose stabilization through a given compensator is guaranteed by each of the considered robust stability conditions. Some properties of the families are formally derived and stated, and some very simple examples are exhibited in order to illustrate the presented properties and comparisons. A theorem, representing an extension of one of the considered conditions, is proposed in order to overcome some difficulties arising in the use of the classical result

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Bibliography on robust control

Cited by 75 publications

References 398 publications

Improved stability robustness bounds for digital control systems in state-space models

Improved stability robustness bounds for digital control systems in state-space models

Stability and Multiscroll Attractors of Control Systems via the Abscissa

A comparison between classical robust stability conditions

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