Convex Enclosures for Constrained Reachability Tubes. Issue 1 (2019)

• Record Type: Journal Article
• Authors: Villanueva, Mario E.; Feng, Xuhui; Paulen, Radoslav; Chachuat, Benoît; Houska, Boris
• Is Part Of: IFAC-PapersOnLine. Volume 52:Issue 1(2019)
• Page Start: 118
• Page End: 123
• Publication Date: 2019
• Subjects: Reachability analysis -- differential inequalities -- set-based computing; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2019.06.047
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper is concerned with computing enclosures for the constrained reachable set of uncertain nonlinear dynamic systems. Our main contribution is a nontrivial extension of the generalized differential inequality, proposed in Villanueva et al. (2015), for the case that an a priori enclosure, of the reachable set is available. A practical implementation is worked out in detail for the case of ellipsoidal enclosures. The applicability of the proposed method is illustrated using a Lotka-Volterra system, for which a nonlinear solution invariant is known.