Synthesis of H2 guaranteed cost fuzzy controller for missile altitude system via linear matrix inequalities

This paper deals with H₂ guaranteed cost (GC) fuzzy output feedback control problem for missile altitude control system. First, the Takagi-Sugeno fuzzy model is employed to represent the dynamics of the missile altitude control system. Next, we present necessary and sufficient conditions for the existence of a quadratically stabilizing fuzzy output feedback controller which also assure H₂ guaranteed cost performance on a fuzzy dynamic system where the uncertainty is of the norm bounded type. The conditions are presented as a collection of linear matrix inequalities. A simulation on the missile altitude system is given to illustrate the effectiveness of the proposed design method.