Fixed-complexity piecewise ellipsoidal representation of the continual reachability set based on ellipsoidal techniques
作者： S. Kaynama , M. Oishi , I. M. Mitchell , G. A. Dumont
关键词: Set (abstract data type) 、 Set theory 、 Approximation theory 、 Representation (mathematics) 、 Ellipsoid 、 Mathematics 、 Reachability 、 Piecewise 、 Mathematical optimization 、 Algorithm 、 Simple (abstract algebra)
摘要: In a previous paper we showed how the continual reachability set can be numerically computed using efficient maximal tools. The resulting is in general arbitrarily shaped and practice possibly non-convex. Here, present fixed-complexity piecewise ellipsoidal under-approximation of techniques. This provides simple approximation an otherwise relatively complicated that used when closed-form representation needed. We demonstrate results on problem control anesthesia.
sci-hub.se 参考文章(20)
S. Syafiie, J. Niño, C. Ionescu, R. De Keyser, NMPC for Propofol Drug Dosing during Anesthesia Induction Lecture Notes in Control and Information Sciences. ,vol. 384, pp. 501- 509 ,(2009) , 10.1007/978-3-642-01094-1_40
Claire J. Tomlin, Ian M. Mitchell, Alexandre M. Bayen, Meeko K. M. Oishi, Computational Techniques for the Verification and Control of Hybrid Systems Springer Berlin Heidelberg. pp. 151- 175 ,(2005) , 10.1007/3-540-27167-8_3
Pedro Oliveira, Joao P. Hespanha, Joao M. Lemos, Teresa Mendonca, Supervised multi-model adaptive control of neuromuscular blockade with off-set compensation 2009 European Control Conference (ECC). pp. 3064- 3069 ,(2009) , 10.23919/ECC.2009.7074875
Shahab Kaynama, Meeko Oishi, Ian M. Mitchell, Guy A. Dumont, The continual reachability set and its computation using maximal reachability techniques IEEE Conference on Decision and Control and European Control Conference. pp. 6110- 6115 ,(2011) , 10.1109/CDC.2011.6161424
Alex A. Kurzhanskiy, Pravin Varaiya, Ellipsoidal Techniques for Reachability Analysis of Discrete-Time Linear Systems IEEE Transactions on Automatic Control. ,vol. 52, pp. 26- 38 ,(2007) , 10.1109/TAC.2006.887900
A.B. Kurzhanski, P. Varaiya, Ellipsoidal techniques for reachability analysis: internal approximation Systems & Control Letters. ,vol. 41, pp. 201- 211 ,(2000) , 10.1016/S0167-6911(00)00059-1
O. Simanski, A. Schubert, R. Kaehler, M. Janda, J. Bajorat, R. Hofmockel, B. Lampe, Automatic drug delivery in anesthesia: From the beginning until now mediterranean conference on control and automation. pp. 1- 6 ,(2007) , 10.1109/MED.2007.4433738
Reuven Cohen, Liran Katzir, The Generalized Maximum Coverage Problem Information Processing Letters. ,vol. 108, pp. 15- 22 ,(2008) , 10.1016/J.IPL.2008.03.017
John Lygeros, On reachability and minimum cost optimal control Automatica. ,vol. 40, pp. 917- 927 ,(2004) , 10.1016/J.AUTOMATICA.2004.01.012
A. N. Daryin, A. B. Kurzhanski, I. V. Vostrikov, Reachability Approaches and Ellipsoidal Techniques for Closed-Loop Control of Oscillating Systems under Uncertainty conference on decision and control. pp. 6385- 6390 ,(2006) , 10.1109/CDC.2006.377784