State and Parameter Estimation for Time-varying Systems: a Takagi-Sugeno Approach

The contribution of this paper is to propose a systematic approach to the observer design for linear time-varying systems. It is based on the exact rewriting of the original time-varying system into a polytopic linear model (PLM). This transformation uses the sector nonlinearity approach based on the convex polytopic transformation. Then a joint state and parameter observer can be designed for the PLM and the estimation errors convergence are proved.