000197754 001__ 197754
000197754 005__ 20190812205743.0
000197754 037__ $$aCONF
000197754 245__ $$aController design and region of attraction estimation for nonlinear dynamical systems
000197754 269__ $$a2014
000197754 260__ $$c2014
000197754 336__ $$aConference Papers
000197754 520__ $$aThis work presents a method to obtain inner and outer approximations of the region of attraction of a given target set as well as an admissible controller generating the inner approximation. The method is applicable to constrained polynomial dynamical systems and extends to trigonometric and rational systems. The method consists of three steps: compute outer approximations, extract a polynomial controller while guaranteeing the satisfaction of the input constraints, compute inner approximations with respect to the closed-loop system with this controller. Each step of the method is a convex optimization problem, in fact a semidefinite program consisting of minimizing a linear function subject to linear matrix inequality (LMI) constraints. The inner approximations are positively invariant provided that the target set is included in the inner approximation and/or is itself invariant.
000197754 700__ $$0246186$$g219039$$aKorda, Milan
000197754 700__ $$aHenrion, Didier
000197754 700__ $$aJones, Colin
000197754 7112_ $$dAugust 24-29, 2014$$cCape Town, South Africa$$aThe 19th World Congress of the International Federation of Automatic Control (IFAC)
000197754 8564_ $$zPreprint$$yPreprint$$uhttps://infoscience.epfl.ch/record/197754/files/roa_inner_controlled_1.pdf$$s892915
000197754 909C0 $$xU12397$$pLA3$$0252490
000197754 909CO $$ooai:infoscience.tind.io:197754$$qGLOBAL_SET$$pconf$$pSTI
000197754 917Z8 $$x219039
000197754 917Z8 $$x219039
000197754 917Z8 $$x219039
000197754 937__ $$aEPFL-CONF-197754
000197754 973__ $$rNON-REVIEWED$$sACCEPTED$$aEPFL
000197754 980__ $$aCONF