| Title: | An ℋ∞ optimal robust pole placement with fixed transparent controller structure on the basis of nonnegativity of even spectral polynomials |
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| Authors: | ID Sarjaš, Andrej (Author)
ID Svečko, Rajko (Author)
ID Chowdhury, Amor (Author) |
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| Files: |  Mathematical_Problems_in_Engineering_2012_Sarjas,_Svecko,_Chowdhury_An_ℋ∞_Optimal_Robust_Pole_Placement_with_Fixed_Transparent_Controlle.pdf (3,03 MB)
MD5: F33FF40F3F42F3D879F9851F86B87B69
 http://www.hindawi.com/journals/mpe/2012/735245/
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FERI - Faculty of Electrical Engineering and Computer Science
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| Abstract: | This paper presents the synthesis of an optimal robust controller with the use of pole placement technique. The presented method includes solving a polynomial equation on the basis of the chosen fixed characteristic polynomial and introduced parametric solutions with a known parametric structure of the controller. Robustness criteria in an unstructured uncertainty description with metrics of norm ℋ∞ are for a more reliable and effective formulation of objective functions for optimization presented in the form of a spectral polynomial with positivity conditions. The method enables robust low-order controller design by using plant simplification with partial-fraction decomposition, where the simplification remainder is added to the performance weight. The controller structure is assembled of well-known parts such as disturbance rejection, and reference tracking. The approach also allows the possibility of multiobjective optimization of robust criteria, application of mixed sensitivity problem, and other closed-loop limitation criteria, where the common criteria function can be composed from different unrelated criteria. Optimization and controller design are performed with iterative evolution algorithm. |
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| Keywords: | optimal robust controller, optimization, algorithm |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Number of pages: | str. 1-25 |
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| Numbering: | Letn. 2012 |
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| PID: | 20.500.12556/DKUM-66211  |
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| ISSN: | 1024-123X |
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| UDC: | 004.8 |
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| ISSN on article: | 1024-123X |
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| COBISS.SI-ID: | 16552726 |
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| DOI: | 10.1155/2012/735245 |
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| NUK URN: | URN:SI:UM:DK:MKTYFET2 |
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| Publication date in DKUM: | 15.06.2017 |
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| Views: | 1258 |
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| Downloads: | 390 |
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| Metadata: |    |
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| Categories: | Misc.
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