title: Cancellation-Based Nonquadratic Controller Design for Nonlinear Systems via Takagi-Sugeno Models.
abstract: This paper is concerned with nonquadratic conditions for stabilization of continuous-time nonlinear systems via exact Takagi-Sugeno models and generalized fuzzy Lyapunov functions. The approach hereby proposed feedback to the time derivatives of the membership functions through a multi-index control law that cancels out the terms responsible of former a priori local conditions. Thus, a nonquadratic controller design in the form of linear matrix inequalities is achieved; it does not require bounds on the time derivatives nor any extra parameters. The examples included are shown to outperform former approaches.
authors.forename: Temoatzin
authors.initials: T
authors.lastname: Gonzalez
authors.forename: Miguel
authors.initials: M
authors.lastname: Bernal
authors.forename: Antonio
authors.initials: A
authors.lastname: Sala
authors.forename: Braulio
authors.initials: B
authors.lastname: Aguiar