an Interval Multiple Models Approach for Uncertain Nonlinear Systems Estimation

This paper deals with the problem of observer design for nonlinear continuous-time systems subject to uncertainties. Based on the well-known sector nonlinearity transformation and assuming that the system state is defined in a local compact and convex set, an Interval Multiple Models (IMM) representation of the nonlinear model is first derived. The design of the Observer is based on a quadratic Lyapunov function and the stability conditions are formulated and solved by Linear Matrix Inequalities (LMIs ). Numerical example is provided to show the efficiency of the proposed technique.