{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T15:12:31Z","timestamp":1680275551376},"reference-count":20,"publisher":"Walter de Gruyter GmbH","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,3,28]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, we discuss the systematic design of gain scheduling controllers for nonlinear systems. We discuss control signal blending induced windup phenomena and employ an extended Model-Recovery Anti-Windup (MRAW) scheme to mitigate them. Combining control signal blending with MRAW allows to build gain scheduling controllers without imposing the common slow variation assumption regarding the scheduling vectors. In addition, the approach offers a higher flexibility in the choice of the sub-controllers compared to classical approaches and convex optimization allows for a very efficient design of the anti-windup networks.<\/jats:p>","DOI":"10.1515\/auto-2021-0127","type":"journal-article","created":{"date-parts":[[2022,3,10]],"date-time":"2022-03-10T12:13:41Z","timestamp":1646914421000},"page":"280-291","source":"Crossref","is-referenced-by-count":0,"title":["Systematic mitigation of gain scheduling induced windup phenomena"],"prefix":"10.1515","volume":"70","author":[{"given":"Klaus","family":"Kefferp\u00fctz","sequence":"first","affiliation":[{"name":"University of Applied Sciences Augsburg , Augsburg , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Benedikt","family":"Bartenschlager","sequence":"additional","affiliation":[{"name":"MBDA Deutschland GmbH , Schrobenhausen , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christoph","family":"Auenm\u00fcller","sequence":"additional","affiliation":[{"name":"MBDA Deutschland GmbH , Schrobenhausen , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sebastian","family":"Seitz","sequence":"additional","affiliation":[{"name":"RWTH Aachen University , Aachen , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2022,3,11]]},"reference":[{"key":"2023033111222653379_j_auto-2021-0127_ref_001","doi-asserted-by":"crossref","unstructured":"Boyd, S., L.\u2009E. Ghaoui, E. Feron and V. Balakrishnan. 1994. Linear matrix inequalities in system and control theory. SIAM.","DOI":"10.1137\/1.9781611970777"},{"key":"2023033111222653379_j_auto-2021-0127_ref_002","doi-asserted-by":"crossref","unstructured":"Buschek, H. 1999. Full envelope missile autopilot design using gain scheduled robust control. Journal of Guidance, Control and Dynamics 22(1): 115\u2013122.","DOI":"10.2514\/2.4357"},{"key":"2023033111222653379_j_auto-2021-0127_ref_003","doi-asserted-by":"crossref","unstructured":"Chilali, M., C. Scherer and P. Gahinet. 1997. Multiobjective output-feedback control via LMI optimization. IEEE Transactions on Automatic Control.","DOI":"10.1109\/9.599969"},{"key":"2023033111222653379_j_auto-2021-0127_ref_004","doi-asserted-by":"crossref","unstructured":"Fleischmann S., S. Theodoulis, E. Laroche, E. Wallner and J.-P. Harcaut. 2017. Controller design point selection for linearized gain scheduling. In: Proc. of American Control Conference.","DOI":"10.23919\/ACC.2017.7963177"},{"key":"2023033111222653379_j_auto-2021-0127_ref_005","doi-asserted-by":"crossref","unstructured":"Gahinet, P., P. Apkarian, M. Chilali. 1996. Affine parameter-dependent Lyapunov functions and real parametric uncertainty. IEEE Transactions on Automatic Control 41(3): 436\u2013442.","DOI":"10.1109\/9.486646"},{"key":"2023033111222653379_j_auto-2021-0127_ref_006","unstructured":"Hippe, P. 2006. Windup in control. Springer."},{"key":"2023033111222653379_j_auto-2021-0127_ref_007","doi-asserted-by":"crossref","unstructured":"Kelly, J.\u2009H. and J.\u2009H. Evers. 1997. An interpolation strategy for scheduling dynamic compensators. American Institute of Aeronautics and Astronautics.","DOI":"10.2514\/6.1997-3764"},{"key":"2023033111222653379_j_auto-2021-0127_ref_008","doi-asserted-by":"crossref","unstructured":"Kelly J.\u2009H., J.\u2009H. Evers, R.\u2009A. Korn and D.\u2009A. Lawrence. 1999. Scheduling dynamik compensators via control signal interpolation. AIAA 176\u2013186.","DOI":"10.2514\/6.1999-3974"},{"key":"2023033111222653379_j_auto-2021-0127_ref_009","doi-asserted-by":"crossref","unstructured":"Lawrence D.\u2009A., J.\u2009H. Kelly and J.\u2009H. Evers. 1998. Gain scheduled missile autopilot design using a control signal interpolation technique. AIAA 1394\u20131402.","DOI":"10.2514\/6.1998-4418"},{"key":"2023033111222653379_j_auto-2021-0127_ref_010","doi-asserted-by":"crossref","unstructured":"Leit D.\u2009J. and W.\u2009E. Leithead. 2010. Survey of gain-scheduling analysis & design. International Journal of Control 73: 1001\u20131025.","DOI":"10.1080\/002071700411304"},{"key":"2023033111222653379_j_auto-2021-0127_ref_011","unstructured":"L\u00f6fberg, J. 2004. Yalmip: A toolbox for modeling and optimization in MATLAB. In: Proc. CACSD Conf., Taipei, Taiwan. URL http:\/\/control.ee.ethz.ch\/~joloef\/yalmip.php."},{"key":"2023033111222653379_j_auto-2021-0127_ref_012","doi-asserted-by":"crossref","unstructured":"Peter, F., F. Holzapfel, E. Xargay and N. Hovakimyan. 2012. L1 adaptive augmentation of a missile autopilot. In: AIAA Guidance, Navigation, and Control Conference.","DOI":"10.2514\/6.2012-4832"},{"key":"2023033111222653379_j_auto-2021-0127_ref_013","doi-asserted-by":"crossref","unstructured":"Pfiffer H. and S. Hecker. 2010. LPV controller synthesis for a generic missile model. In: IEEE international conference on control applications, pp.\u20091838\u20131843.","DOI":"10.1109\/CCA.2010.5611127"},{"key":"2023033111222653379_j_auto-2021-0127_ref_014","doi-asserted-by":"crossref","unstructured":"Rugh J.\u2009R. and S.\u2009S. Shamma. 2000. Research on gain-scheduling. Automatica 36: 1401\u20131425.","DOI":"10.1016\/S0005-1098(00)00058-3"},{"key":"2023033111222653379_j_auto-2021-0127_ref_015","doi-asserted-by":"crossref","unstructured":"Samet, H. and R.\u2009E. Webber. 1985. Storing a collection of polygons using quadtrees, ACM Transactions on Graphics 4(3): 182\u2013222.","DOI":"10.1145\/282957.282966"},{"key":"2023033111222653379_j_auto-2021-0127_ref_016","doi-asserted-by":"crossref","unstructured":"Sturm, J.\u2009F. 1999. Using SeDuMi 1.02, a Matlab toolbox for optimization over symmetric cones. Optimization Methods and Software 11(1-4): 625\u2013653.","DOI":"10.1080\/10556789908805766"},{"key":"2023033111222653379_j_auto-2021-0127_ref_017","doi-asserted-by":"crossref","unstructured":"Tarbouriech, S., G. Garcia, J.\u2009M. Gomez da Silva Jr. and L. Quiennec. 2011. Stability and stabilization of linear systems with saturation actuators. Springer.","DOI":"10.1007\/978-0-85729-941-3"},{"key":"2023033111222653379_j_auto-2021-0127_ref_018","unstructured":"Tan, W., A.\u2009K. Packard and G.\u2009J. Balas. 2000. Quasi-LPV modeling and LPV control of a generic missile. In: Proceedings of the American control conference, pp.\u20093692\u20133696."},{"key":"2023033111222653379_j_auto-2021-0127_ref_019","doi-asserted-by":"crossref","unstructured":"Toh K.\u2009C., M. Todd and R. Tutuncu. 1999. Sdpt3 \u2013 a Matlab software package for semidefinite programming. Optimization Methods and Software 11: 545\u2013581.","DOI":"10.1080\/10556789908805762"},{"key":"2023033111222653379_j_auto-2021-0127_ref_020","doi-asserted-by":"crossref","unstructured":"Turner, M.\u2009C., G. Hermann and I. Postlethwaite. 2007. Anti-windup compensation using a decoupling architecture. Lecture notes in control and information sciences, 346. Springer, pp.\u2009121\u2013171.","DOI":"10.1007\/978-3-540-37010-9_5"}],"container-title":["at - Automatisierungstechnik"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2021-0127\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2021-0127\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T14:36:01Z","timestamp":1680273361000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2021-0127\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,3,1]]},"references-count":20,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2022,3,11]]},"published-print":{"date-parts":[[2022,3,28]]}},"alternative-id":["10.1515\/auto-2021-0127"],"URL":"https:\/\/doi.org\/10.1515\/auto-2021-0127","relation":{},"ISSN":["2196-677X","0178-2312"],"issn-type":[{"value":"2196-677X","type":"electronic"},{"value":"0178-2312","type":"print"}],"subject":[],"published":{"date-parts":[[2022,3,1]]}}}