{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T00:09:01Z","timestamp":1759104541623},"reference-count":26,"publisher":"Walter de Gruyter GmbH","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,10,25]]},"abstract":"<jats:title>Zusammenfassung<\/jats:title>\n               <jats:p>Zum Entwurf robuster, strukturbeschr\u00e4nkter Ausgangsr\u00fcckf\u00fchrungen existieren bereits einige frei verf\u00fcgbare oder in weitverbreiteten Programmen enthaltene Werkzeuge, die vor allem auf dem <jats:inline-formula id=\"j_auto-2020-0078_ineq_001_w2aab3b7e1391b1b6b1aab1c15b1b1Aa\">\n                     <jats:alternatives>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_auto-2020-0078_ineq_001.png\" \/>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:msub>\n                              <m:mrow>\n                                 <m:mi>H<\/m:mi>\n                              <\/m:mrow>\n                              <m:mrow>\n                                 <m:mi>\u221e<\/m:mi>\n                              <\/m:mrow>\n                           <\/m:msub>\n                        <\/m:math>\n                        <jats:tex-math>{\\mathcal{H}_{\\infty }}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>-Ansatz zum Entwurf von Regelungen basieren, jedoch ist die Anzahl frei verf\u00fcgbarer Werkzeuge \u00fcberschaubar und es existieren keine freien Werkzeuge zur Polbereichsvorgabe. Aus diesem Grund wird im vorliegenden Beitrag ein Werkzeug namens <jats:monospace>gammasyn<\/jats:monospace> vorgestellt, mit dem \u00fcber einen Multimodellansatz strukturbeschr\u00e4nkte Ausgangsr\u00fcckf\u00fchrungen robust mittels Polbereichsvorgabe entworfen werden k\u00f6nnen. Die Toolbox verwendet den in [9] vorgeschlagenen Straffunktionsansatz sowie beschr\u00e4nkte Optimierung und es werden einige Erweiterungen dieses Ansatzes sowie der Funktionsumfang der Toolbox beschrieben.<\/jats:p>","DOI":"10.1515\/auto-2020-0078","type":"journal-article","created":{"date-parts":[[2020,9,23]],"date-time":"2020-09-23T07:46:57Z","timestamp":1600847217000},"page":"893-904","source":"Crossref","is-referenced-by-count":3,"title":["gammasyn \u2013 eine Toolbox zur robusten Polbereichsvorgabe mittels beschr\u00e4nkter Optimierung und Straffunktionen"],"prefix":"10.1515","volume":"68","author":[{"given":"Patrick","family":"Vogt","sequence":"first","affiliation":[{"name":"Fachgebiet f\u00fcr Regelungstechnik und Mechatronik , TU Darmstadt , Darmstadt , Deutschland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eric","family":"Lenz","sequence":"additional","affiliation":[{"name":"Fachgebiet f\u00fcr Regelungstechnik und Mechatronik , TU Darmstadt , Darmstadt , Deutschland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ulrich","family":"Konigorski","sequence":"additional","affiliation":[{"name":"Fachgebiet f\u00fcr Regelungstechnik und Mechatronik , TU Darmstadt , Darmstadt , Deutschland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2020,9,23]]},"reference":[{"key":"2023033109544161922_j_auto-2020-0078_ref_001_w2aab3b7e1391b1b6b1ab2b1b1Aa","doi-asserted-by":"crossref","unstructured":"Ackermann, J.: Robuste Regelung. Analyse und Entwurf von linearen Regelungssystemen mit unsicheren physikalischen Parametern. Springer, Berlin, 1993. ISBN:\u2009978-3-540-57244-9.","DOI":"10.1007\/978-3-662-09777-9_1"},{"key":"2023033109544161922_j_auto-2020-0078_ref_002_w2aab3b7e1391b1b6b1ab2b1b2Aa","doi-asserted-by":"crossref","unstructured":"Apkarian, P., P. Gahinet and C. Buhr: Multi-model, multi-objective tuning of fixed-structure controllers. In: 2014 European Control Conference (ECC) (Strasbourg, France). IEEE, Piscataway, NJ, 856\u2013861, 2014. ISBN:\u2009978-3-9524269-1-3.","DOI":"10.1109\/ECC.2014.6862200"},{"key":"2023033109544161922_j_auto-2020-0078_ref_003_w2aab3b7e1391b1b6b1ab2b1b3Aa","doi-asserted-by":"crossref","unstructured":"Burke, J.\u2009V., D. Henrion, A.\u2009S. Lewis and M.\u2009L. Overton: HIFOO \u2013 A Matlab Package for Fixed-Order Controller Design andH\u221e{\\mathcal{H}_{\\infty }}Optimization. In: IFAC Proceedings Volumes, 39, 9, 339\u2013344, 2006.","DOI":"10.3182\/20060705-3-FR-2907.00059"},{"key":"2023033109544161922_j_auto-2020-0078_ref_004_w2aab3b7e1391b1b6b1ab2b1b4Aa","unstructured":"Cardim, R., M.\u2009C.\u2009M. Teixeira, E. Assuncao and A. Flavio: Control Designs for Linear Systems Using State-Derivative Feedback. In: Integral Sliding Modes with Block Control of Multimachine Electric Power Systems. Edited by Huerta, H., A. Loukianov and J.\u2009M. Canedo. INTECH Open Access Publisher, 2008. ISBN:\u2009978-953-7619-05-3."},{"key":"2023033109544161922_j_auto-2020-0078_ref_005_w2aab3b7e1391b1b6b1ab2b1b5Aa","unstructured":"F\u00f6llinger, O.: Regelungstechnik. Einf\u00fchrung in die Methoden und ihre Anwendung. Unter Mitarb. von Konigorski, U., B. Lohmann, G. Roppenecker und A. Tr\u00e4chtler. 12. Aufl. VDE Verlag, Berlin und Offenbach, 2016. ISBN:\u2009978-3-8007-4201-1."},{"key":"2023033109544161922_j_auto-2020-0078_ref_006_w2aab3b7e1391b1b6b1ab2b1b6Aa","doi-asserted-by":"crossref","unstructured":"Gill, P.\u2009E., W. Murray and M.\u2009A. Saunders: SNOPT. An SQP algorithm for large-scale constrained optimization. In: SIAM Rev, 47, 99\u2013131, 2005.","DOI":"10.1137\/S0036144504446096"},{"key":"2023033109544161922_j_auto-2020-0078_ref_007_w2aab3b7e1391b1b6b1ab2b1b7Aa","unstructured":"Johnson, S.\u2009G.: The NLopt nonlinear-optimization package. 2018. URL: http:\/\/ab-initio.mit.edu\/nlopt."},{"key":"2023033109544161922_j_auto-2020-0078_ref_008_w2aab3b7e1391b1b6b1ab2b1b8Aa","doi-asserted-by":"crossref","unstructured":"Konigorski, U.: Ausgangsgr\u00f6\u00dfenverkopplung bei linearen Mehrgr\u00f6\u00dfensystemen. In: at - Automatisierungstechnik, 47, 4, 1999.","DOI":"10.1524\/auto.1999.47.4.165"},{"key":"2023033109544161922_j_auto-2020-0078_ref_009_w2aab3b7e1391b1b6b1ab2b1b9Aa","unstructured":"Konigorski, U.: Ein direktes Verfahren zum Entwurf strukturbeschr\u00e4nkter Zustandsr\u00fcckf\u00fchrungen durch Polvorgabe. Fortschritt-Berichte VDI.: Mess-, Steuerungs- und Regelungstechnik, VDI-Verlag, 1987."},{"key":"2023033109544161922_j_auto-2020-0078_ref_010_w2aab3b7e1391b1b6b1ab2b1c10Aa","doi-asserted-by":"crossref","unstructured":"Konigorski, U.: Entwurf linearer Deskriptorsysteme durch Polvorgabe. In: at - Automatisierungstechnik, 52, 1-2004, S.\u200939\u201345, 2004.","DOI":"10.1524\/auto.52.1.39.25435"},{"key":"2023033109544161922_j_auto-2020-0078_ref_011_w2aab3b7e1391b1b6b1ab2b1c11Aa","doi-asserted-by":"crossref","unstructured":"Konigorski, U.: Entwurf robuster strukturbeschr\u00e4nkter Zustandsregelungen durch Polgebietsvorgabe mittels Straffunktionen. In: at - Automatisierungstechnik, 35, 1-12, S.\u2009250\u2013254, 1987.","DOI":"10.1524\/auto.1987.35.112.254"},{"key":"2023033109544161922_j_auto-2020-0078_ref_012_w2aab3b7e1391b1b6b1ab2b1c12Aa","doi-asserted-by":"crossref","unstructured":"Kreisselmeier, G. and R. Steinhauser: Systematische Auslegung von Reglern durch Optimierung eines vektoriellen G\u00fctekriteriums. In: at - Automatisierungstechnik, 27, 1-12, 1979.","DOI":"10.1524\/auto.1979.27.112.76"},{"key":"2023033109544161922_j_auto-2020-0078_ref_013_w2aab3b7e1391b1b6b1ab2b1c13Aa","doi-asserted-by":"crossref","unstructured":"Lohmann, B.: Ein Ansatz zum Entwurf von Mehrgr\u00f6\u00dfen-PID-Regelungen durch Zustandsraummethoden. In: at - Automatisierungstechnik, 38, 1-12, 1990.","DOI":"10.1524\/auto.1990.38.112.278"},{"key":"2023033109544161922_j_auto-2020-0078_ref_014_w2aab3b7e1391b1b6b1ab2b1c14Aa","doi-asserted-by":"crossref","unstructured":"Reinhardt, R., A. Hoffmann and T. Gerlach: Nichtlineare Optimierung. Theorie, Numerik und Experimente. Springer Berlin Heidelberg, Berlin, Heidelberg, 2013. ISBN:\u2009978-3-8274-2949-0.","DOI":"10.1007\/978-3-8274-2949-0"},{"key":"2023033109544161922_j_auto-2020-0078_ref_015_w2aab3b7e1391b1b6b1ab2b1c15Aa","doi-asserted-by":"crossref","unstructured":"Sadabadi, M.\u2009S. and D. Peaucelle: From static output feedback to structured robust static output feedback. A survey. In: Annual Reviews in Control, 42, 11\u201326, 2016.","DOI":"10.1016\/j.arcontrol.2016.09.014"},{"key":"2023033109544161922_j_auto-2020-0078_ref_016_w2aab3b7e1391b1b6b1ab2b1c16Aa","unstructured":"Stein, L.\u2009G.: Methoden und Anwendungen zur Polvorgabe mittels strukturbeschr\u00e4nkter R\u00fcckf\u00fchrungen. Institut f\u00fcr Automatisierungstechnik. Dissertation. Technische Universit\u00e4t Darmstadt, Darmstadt, 2020."},{"key":"2023033109544161922_j_auto-2020-0078_ref_017_w2aab3b7e1391b1b6b1ab2b1c17Aa","doi-asserted-by":"crossref","unstructured":"Strubel, J. and U. Konigorski: Robust eigenstructure assignment using parametric output feedback. In: 2014 22nd Mediterranean Conference of Control and Automation (MED) (Palermo, Italien). IEEE, Piscataway, NJ, 1249\u20131254, 2014. ISBN:\u2009978-1-4799-5901-3.","DOI":"10.1109\/MED.2014.6961547"},{"key":"2023033109544161922_j_auto-2020-0078_ref_018_w2aab3b7e1391b1b6b1ab2b1c18Aa","doi-asserted-by":"crossref","unstructured":"Syrmos, V.\u2009L., C.\u2009T. Abdallah, P. Dorato and K. Grigoriadis: Static Output Feedback: A Survey. In: Automatica, 33, 2, 125\u2013137, 1997.","DOI":"10.1016\/S0005-1098(96)00141-0"},{"key":"2023033109544161922_j_auto-2020-0078_ref_019_w2aab3b7e1391b1b6b1ab2b1c19Aa","doi-asserted-by":"crossref","unstructured":"Tr\u00e4chtler, A.: Entwurf von Ausgangsr\u00fcckf\u00fchrungen mit der Vollst\u00e4ndigen Modalen Synthese. In: at - Automatisierungstechnik, 40, 11, 1992.","DOI":"10.1515\/auto-1992-1104"},{"key":"2023033109544161922_j_auto-2020-0078_ref_020_w2aab3b7e1391b1b6b1ab2b1c20Aa","unstructured":"van der Aa, N.\u2009P.: Sensitivity analysis for grating reconstruction. Dissertation. Technische Universiteit Eindhoven, Eindhoven, 2007."},{"key":"2023033109544161922_j_auto-2020-0078_ref_021_w2aab3b7e1391b1b6b1ab2b1c21Aa","doi-asserted-by":"crossref","unstructured":"van der Aa, N.\u2009P., H.\u2009G. ter Morsche and R.\u2009R.\u2009M. Mattheij: Computation of eigenvalue and eigenvector derivatives for a general complex-valued eigensystem. In: Electronic Journal of Linear Algebra, 16, 1, 2007.","DOI":"10.13001\/1081-3810.1203"},{"key":"2023033109544161922_j_auto-2020-0078_ref_022_w2aab3b7e1391b1b6b1ab2b1c22Aa","doi-asserted-by":"crossref","unstructured":"Vidyasagar, M.: Some Results on Simultaneous Stabilization with Multiple Domains of Stability. In: IFAC Proceedings Volumes, 20, 5, 43\u201348, 1987.","DOI":"10.1016\/S1474-6670(17)55007-7"},{"key":"2023033109544161922_j_auto-2020-0078_ref_023_w2aab3b7e1391b1b6b1ab2b1c23Aa","doi-asserted-by":"crossref","unstructured":"Vogt, P., E. Lenz, A. Klug, H. Westerfeld and U. Konigorski: Robust Two-Degree-of-Freedom Wheel Slip Controller Structure for Anti-lock Braking. In: 9th IFAC International Symposium on Advances in Automotive Control (AAC 19), June 23\u201327, 2019 (Orleans, Frankreich), 431\u2013437, 23. June 2019.","DOI":"10.1016\/j.ifacol.2019.09.069"},{"key":"2023033109544161922_j_auto-2020-0078_ref_024_w2aab3b7e1391b1b6b1ab2b1c24Aa","doi-asserted-by":"crossref","unstructured":"W\u00e4chter, A. and L.\u2009T. Biegler: On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming. In: Mathematical Programming, 106, 1, 25\u201357, 2006.","DOI":"10.1007\/s10107-004-0559-y"},{"key":"2023033109544161922_j_auto-2020-0078_ref_025_w2aab3b7e1391b1b6b1ab2b1c25Aa","unstructured":"Wrenn, G.\u2009A.: An indirect method for numerical optimization using the Kreisselmeier-Steinhauser function. National Aeronautics and Space Administration, 1989."},{"key":"2023033109544161922_j_auto-2020-0078_ref_026_w2aab3b7e1391b1b6b1ab2b1c26Aa","unstructured":"Yedavalli, R.\u2009K.: Robust control of uncertain dynamic systems. 1st. edition. Springer-Verlag, New York, 2016. ISBN: 978-1-4939-4089-9."}],"container-title":["at - Automatisierungstechnik"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/auto\/68\/10\/article-p893.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2020-0078\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2020-0078\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T10:21:50Z","timestamp":1680258110000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2020-0078\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,23]]},"references-count":26,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2020,9,23]]},"published-print":{"date-parts":[[2020,10,25]]}},"alternative-id":["10.1515\/auto-2020-0078"],"URL":"https:\/\/doi.org\/10.1515\/auto-2020-0078","relation":{},"ISSN":["2196-677X","0178-2312"],"issn-type":[{"value":"2196-677X","type":"electronic"},{"value":"0178-2312","type":"print"}],"subject":[],"published":{"date-parts":[[2020,9,23]]}}}