Computation of maximal output admissible sets for linear systems with polynomial constraints. Issue 1 (25th January 2023)

• Record Type: Journal Article
• Authors: Cotorruelo, Andres; Garone, Emanuele; Kolmanovsky, Ilya V.; Ramirez, Daniel R.; Limon, Daniel
• Is Part Of: Advanced control for applications. Volume 5:Issue 1(2023)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2023-01-25
• Subjects: constrained control -- maximal output admissible set -- nonlinear systems -- redundant constraints -- sum of squares; Automatic control -- Periodicals; Automatic control; Periodicals; Electronic journals; 629.8
• DOI: 10.1002/adc2.119
• Languages: English
• ISSNs: 2578-0727

Abstract

Abstract: In this technical note we study the computation of the Maximal Output Admissible Set for linear systems subject to polynomial constraints. The computation of an inner approximation of the Maximal Output Admissible Sets requires the determination of constraint redundancy. We use a procedure to determine polynomial constraint redundancy based on a consequence of Putinar's Positivstellensatz. Further, we present a modification of the algorithm to compute the Maximal Output Admissible Set with improved performance. Lastly, demonstrate the potential for practical applications in two case studies of spacecraft rendezvous and control of an electromagnetic actuator.