An Extended Invariance Principle using a Fuzzy Lyapunov-like function

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Abstract

In this paper, we use T-S fuzzy systems and the Extended Invariance Principle to study the asymptotic behavior of  nonlinear dynamical systems. The main result provides a systematic procedure to obtain a Fuzzy Lyapunov-like function, as well as an estimation of the attracting set, based on Linear Matrix Inequalities. The application of the result is illustrated with a trajectory tracking quadrotor system.

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Institutions
  • 1 Universidade de São Paulo
  • 2 Engenharia / Universidade Tecnológica Federal do Paraná
Track
  • ST01 - Applied Analysis
Keywords
T-S Fuzzy Systems
Extended Invariance Principle
Linear Matrix Inequality