2018
DOI: 10.1049/iet-cta.2018.0101
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New results on robust stability analysis and synthesis for MIMO uncertain systems

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Cited by 13 publications
(11 citation statements)
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References 33 publications
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“…This development presents a broad generalization of [29], where the case v = 1 has been considered with more restrictive uncertainty type and a controller without proportional action. The obtained results also generalize the results of [30] concerning uncertain MIMO systems, considering bounded uncertainties of rational multi-affine type, with an integral controller and observer. The applied majorant systems approach has already successfully used for particular classes of linear and nonlinear systems (see [29][30][31]).…”
Section: Introductionsupporting
confidence: 79%
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“…This development presents a broad generalization of [29], where the case v = 1 has been considered with more restrictive uncertainty type and a controller without proportional action. The obtained results also generalize the results of [30] concerning uncertain MIMO systems, considering bounded uncertainties of rational multi-affine type, with an integral controller and observer. The applied majorant systems approach has already successfully used for particular classes of linear and nonlinear systems (see [29][30][31]).…”
Section: Introductionsupporting
confidence: 79%
“…The obtained results also generalize the results of [30] concerning uncertain MIMO systems, considering bounded uncertainties of rational multi-affine type, with an integral controller and observer. The applied majorant systems approach has already successfully used for particular classes of linear and nonlinear systems (see [29][30][31]). Another approach to design robust tracking controllers for relevant classes of nonlinear systems can be found in [32].…”
Section: Introductionsupporting
confidence: 79%
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“…This paper provides a systematic method for the robust tracking design of MIMO uncertain discrete-time systems with bounded parametric uncertainties, in particular, of rational multi-affine type, and generic discrete reference signals with bounded first or second discrete derivatives, also in presence of generic disturbances with bounded first or second discrete derivatives. Similar research for a class of MIMO continuous-time systems has been conducted in [28] and [40]. Some results on robust tracking controller design with generic reference signals for continuous and discrete singular-input singular-output (SISO) uncertain linear systems are provided in [21].…”
Section: Introductionmentioning
confidence: 95%
“…be a matrix function, ratio of a quadratic matrix function to a quadratic non null polynomial with respect to the parameters p 1 p 2 · · · p µ Proof. The proof follows from Corollary 1 in [44] by setting P = I and Q = H + H T .…”
Section: Lemma 3 Letmentioning
confidence: 99%