Nonlinear Control System Design by Quantifier Elimination
1996 (English)In: Proceedings of the 2nd IMACS Conference on Applications of Computer Algebra, 1996Conference paper (Refereed)
Many problems in control theory can be formulated as formulae in the first-order theory of real closed fields. In this paper we investigate some of the expressive power of this theory. We consider dynamical systems described by polynomial differential equations subjected to constraints on control and system variables and show how to formulate questions in the above framework which can be answered by quantifier elimination. The problems treated in this paper regard stationarity, stability, and following of a polynomially parametrized curve. The software package QEPCAD has been used to solve a number of examples.
Place, publisher, year, edition, pages
QEPCAD, First-order theory, Dynamical systems, Polynomial differential equations
IdentifiersURN: urn:nbn:se:liu:diva-93760OAI: oai:DiVA.org:liu-93760DiVA: diva2:628943
2nd IMACS Conference on Applications of Computer Algebra, Linz, Austria, July, 1996