Observer-based controller for Takagi-Sugeno models

This paper studies the stabilisation of the T-S (Takagi-Sugeno) model using an output feedback controller. Both measurable and estimated decision variable cases are considered. In the case of measurable decision variables a T-S observer and T-S controller are designed separately to stabilise globally exponentially the closed loop T-S model. When the decision variables depend on the state variables estimated by the T-S observer, a procedure to design a stabilising output feedback controller is proposed. An example is given to illustrate the result.