In this thesis, we present an analysis of the online parameter estimator by the general Takagi-Sugeno fuzzy model based indirect adaptive control for systems with dead-zone. According to Lyapunov stability theorem, the control objective is to design adaptive fuzzy controller and adaptive laws such that the overall Takagi-Sugeno fuzzy model based indirect adaptive fuzzy control system with dead-zone is stabilized and the output is forced to follow the desired reference input. An single flexible joint manipulator system is used to illustrate the effectiveness of the proposed method. The simulation can demonstrate the validity of the proposed scheme and achieve satisfy simulation results.