FINITE TIME OBSERVER FOR NONLINEAR SYSTEMS

This paper proposes a nonlinear finite time convergent observer that does not require to compute any inverse coordinate transformation. The finite time estimate is recovered from two asymptotically convergent estimates which have linear error dynamics in transformed coordinates through the transformation Jacobian only. An extended version of this nonlinear finite time observer is next envisaged. The finite time estimate is obtained from two pseudo linear dynamic systems and require to compute only the Jacobian of two functions which are the solutions of two systems of partial derivative equations.