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• W2034773561 abstract "This 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." @default.
• W2034773561 created "2016-06-24" @default.
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• W2034773561 date "2014-01-01" @default.
• W2034773561 modified "2023-10-12" @default.
• W2034773561 title "Controller design and region of attraction estimation for nonlinear dynamical systems" @default.
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• W2034773561 doi "https://doi.org/10.3182/20140824-6-za-1003.00117" @default.
• W2034773561 hasPublicationYear "2014" @default.
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