Robust control design with MATLAB
Citations
1,602 citations
Cites methods from "Robust control design with MATLAB"
...Others are more on design methodologies, application of such theories, and implementation software [2, 6]....
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309 citations
Cites methods from "Robust control design with MATLAB"
...the Hankel-norm approximation [34] is applied to reduce the controller order....
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212 citations
Cites background or methods from "Robust control design with MATLAB"
...To tune PI controllers of LFC in each area, the inverse output multiplicative perturbation is applied to model the system uncertainties [22]....
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...System uncertainties are formulated by the multiplicative uncertainty [22]....
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179 citations
Cites background or methods from "Robust control design with MATLAB"
...In this study, the Hankel optimal model order reduction [14] is implemented to reduce a high order of the H∞ controller, evaluating reasonable performance and stability....
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...To avoid this difficulty, several techniques are proposed for order reduction [14], [28]–[30]....
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...However, most robust control techniques utilize complex state-feedback controllers, of which the orders are not smaller than the order of the controlled systems [14], [15]....
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177 citations
References
6,945 citations
"Robust control design with MATLAB" refers background in this paper
...[175] Suppose P (s) satisfies the assumptions A1−A4....
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...2) is not unique except in the scalar case ([175, 60])....
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...Interested readers are referred to [23, 32, 121, 33, 120, 122, 175] for details....
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...Many books have since been published on H∞ and related theories and methods [38, 26, 175, 166, 145, 142, 65, 137]....
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...Despite of the mature theory ([38, 26, 175]) and availability of software packages, commercial or licensed freeware, many people have experienced difficulties in solving industrial control systems design problems with those H∞ and related methods, due to the complex mathematics of the advanced approaches and numerous presentations of formulae as well as adequate translations of industrial design into relevant configurations....
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6,279 citations
"Robust control design with MATLAB" refers background in this paper
...Many books have since been published on H∞ and related theories and methods [38, 26, 175, 166, 145, 142, 65, 137]....
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3,756 citations
3,471 citations
"Robust control design with MATLAB" refers background in this paper
...Many books have since been published on H∞ and related theories and methods [38, 26, 175, 166, 145, 142, 65, 137]....
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2,980 citations
"Robust control design with MATLAB" refers background or methods in this paper
...This is a Hankel approximation problem and can be solved using an algorithm developed by Glover [46]....
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...Glover shows in [46] that any stable, r-order approximation Gr of G(s) can never achieve ‖G(s)−Gr(s)‖∞ ≤ σr+1....
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..., tr(Σ2) = σr+1+· · ·+σn, the sum of the last n− r Hankel singular values ([30, 46])....
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...1, the largest Hankel singular value σ1 is defined as the Hankel-norm of G(s) ([46])....
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...26) It is shown in [46] that the (n−l)th order Gh(s) is stable and is an optimal approximation of G(s) satisfying ‖G(s)−Gh(s)‖H = σ (7....
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