{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,11,16]],"date-time":"2024-11-16T05:28:19Z","timestamp":1731734899397,"version":"3.28.0"},"reference-count":13,"publisher":"The Russian Academy of Sciences","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["ARC"],"abstract":"<jats:p>This paper considers a linear continuous- or discrete-time dynamic object in the absence of its mathematical model. As is demonstrated below, a control law that suboptimally damps initial and (or) exogenous disturbances of such objects can be implemented based on experimental and a priori data. The approach involves the methods of robust control design and duality theory as well as the technique of linear matrix inequalities.<\/jats:p>","DOI":"10.31857\/s0005117924010014","type":"journal-article","created":{"date-parts":[[2024,4,8]],"date-time":"2024-04-08T12:00:19Z","timestamp":1712577619000},"page":"1-14","source":"Crossref","is-referenced-by-count":1,"title":["Design of Generalized H\u221e-Suboptimal Controllers Based on Experimental and A Priori Data"],"prefix":"10.31857","volume":"85","author":[{"name":"Lobachevsky University, Nizhny Novgorod, Russia","sequence":"first","affiliation":[]},{"given":"M. M.","family":"Kogan","sequence":"first","affiliation":[]},{"given":"A. V.","family":"Stepanov","sequence":"additional","affiliation":[]},{"name":"Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod, Russia","sequence":"additional","affiliation":[]}],"member":"17106","published-online":{"date-parts":[[2024,1]]},"reference":[{"key":"ref0","doi-asserted-by":"crossref","unstructured":"1. Willems, J.C., Rapisarda, P., Markovsky, I., and De Moor, B., A Note on Persistency of Excitation, Syst. Control Lett., 2005, vol. 54, pp. 325-329.","DOI":"10.1016\/j.sysconle.2004.09.003"},{"key":"ref1","doi-asserted-by":"crossref","unstructured":"2. De Persis, C. and Tesi, P., Formulas for Data-Driven Control: Stabilization, Optimality and Robustness, IEEE Trans. Automat. Control, 2020, vol. 65, no. 3, pp. 909-924.","DOI":"10.1109\/TAC.2019.2959924"},{"key":"ref2","doi-asserted-by":"crossref","unstructured":"3. Waarde, H.J., Eising, J., Trentelman, H.L., and Camlibel, M.K., Data Informativity: a New Perspective on Data-Driven Analysis and Control, IEEE Trans. Automat. Control, 2020, vol. 65, no. 11, pp. 4753-4768.","DOI":"10.1109\/TAC.2020.2966717"},{"key":"ref3","doi-asserted-by":"crossref","unstructured":"4. Waarde, H.J., Camlibel, M.K., and Mesbahi, M., From Noisy Data to Feedback Controllers: Nonconservative Design via a Matrix S-Lemma, IEEE Trans. Automat. Control, 2022, vol. 67, no. 1, pp. 162-175.","DOI":"10.1109\/TAC.2020.3047577"},{"key":"ref4","unstructured":"5. Yakubovich, V.A., S-procedure in Nonlinear Control Theory, Vestn. Leningrad. Univ. Mat., 1977, vol. 4, pp. 73-93."},{"key":"ref5","doi-asserted-by":"crossref","unstructured":"6. Bisoffi, A., De Persis, C., and Tesi, P., Data-Driven Control via Petersen's Lemma, Automatica, 2022, vol. 145, art. no. 110537.","DOI":"10.1016\/j.automatica.2022.110537"},{"key":"ref6","doi-asserted-by":"crossref","unstructured":"7. Petersen, I.R., A Stabilization Algorithm for a Class of Uncertain Linear Systems, Syst. Control Lett., 1987, vol. 8, pp. 351-357.","DOI":"10.1016\/0167-6911(87)90102-2"},{"key":"ref7","doi-asserted-by":"crossref","unstructured":"8. Berberich, J., Scherer, C.W., and Allgower, F., Combining Prior Knowledge and Data for Robust Controller Design, IEEE Trans. Automat. Control, 2023, vol. 68, no. 8, pp. 4618-4633.","DOI":"10.1109\/TAC.2022.3209342"},{"key":"ref8","doi-asserted-by":"crossref","unstructured":"9. Kogan, M.M. and Stepanov, A.V., Design of Suboptimal Robust Controllers Based on A Priori and Experimental Data, Autom. Remote Control, 2023, vol. 84, no. 8, pp. 918-932.","DOI":"10.1134\/S0005117923080064"},{"key":"ref9","doi-asserted-by":"crossref","unstructured":"10. Petersen, I.R. and Tempo, R., Robust Control of Uncertain Systems: Classical Results and Recent Developments, Automatica, 2014, vol. 50, no. 5, pp. 1315-1335.","DOI":"10.1016\/j.automatica.2014.02.042"},{"key":"ref10","doi-asserted-by":"crossref","unstructured":"11. Balandin, D.V. and Kogan, M.M., Generalized H\u221e-optimal Control as a Trade-off between the H\u221e-optimal and \u03b3-optimal Controls, Autom. Remote Control, 2010, vol. 71, no. 6, pp. 993-1010.","DOI":"10.1134\/S0005117910060020"},{"key":"ref11","doi-asserted-by":"crossref","unstructured":"12. Balandin, D.V., Biryukov, R.S., and Kogan, M.M., Pareto Suboptimal H\u221e Controls with Transients, Proc. Eur. Control Conf., 2021, Rotterdam, pp. 542-547.","DOI":"10.23919\/ECC54610.2021.9654973"},{"key":"ref12","doi-asserted-by":"crossref","unstructured":"13. Polyak, B.T., Convexity of Quadratic Transformations and Its Use in Control and Optimization, J. Optim. Theory Appl., 1998, vol. 99, no. 3, pp. 553-583.","DOI":"10.1023\/A:1021798932766"}],"container-title":["Automation and Remote Control"],"original-title":[],"deposited":{"date-parts":[[2024,11,15]],"date-time":"2024-11-15T21:52:23Z","timestamp":1731707543000},"score":1,"resource":{"primary":{"URL":"http:\/\/ait.mtas.ru\/en\/archive\/volume85issue1\/ARC2401001Kogan.pdf"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1]]},"references-count":13,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,1]]}},"URL":"https:\/\/doi.org\/10.31857\/s0005117924010014","relation":{},"ISSN":["0005-1179","1608-3032"],"issn-type":[{"type":"print","value":"0005-1179"},{"type":"electronic","value":"1608-3032"}],"subject":[],"published":{"date-parts":[[2024,1]]}}}