Control: Advances on Fuzzy Model-Based Observers

Thierry-Marie Guerra (1) , Miguel Bernal

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

This chapter is concerned with recent developments on observer design for non-linear systems via Takagi-Sugeno models, both in continuous- and discrete-time. As traditionally done, the direct Lyapunov method is employed to derive conditions in the form of linear matrix inequalities. Novelties include a better handling of measurable and unmeasurable premises, the inclusion of multiple delays in non-quadratic Lyapunov functions, and the use of matrix properties to add slack variables; feasibility of conditions is thus enhanced while improving the quality of solutions.

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

Thierry-Marie Guerra, Miguel Bernal. Control: Advances on Fuzzy Model-Based Observers. Marie-Jeanne Lesot; Christophe Marsala. Fuzzy Approaches for Soft Computing and Approximate Reasoning: Theories and Applications Dedicated to Bernadette Bouchon-Meunier, 394, Springer, pp.179-190, 2020, ⟨10.1007/978-3-030-54341-9_16⟩. ⟨hal-03452231⟩