Title :
Nonlinear state observation using H/sub /spl infin//-filtering Riccati design
Author :
Reif, Konrad ; Sonnemann, Frank ; Unbehauen, Rolf
Author_Institution :
BMW AG, Munich, Germany
Abstract :
The authors propose an observer for continuous-time nonlinear systems. The observer gain is computed by a Riccati differential equation similar to the extended Kalman filter. They prove that under certain conditions the proposed observer is an exponential observer by choosing an appropriate Lyapunov function. Furthermore, the authors explore some important relations of the proposed observer to robust control theory and H ∞-filtering. To examine the practical usefulness of the proposed observer they applied it to an induction motor for the estimation of the rotor flux and the angular velocity.
Keywords :
Kalman filters; Lyapunov methods; Riccati equations; continuous time systems; differential equations; filtering theory; induction motors; nonlinear systems; observers; robust control; H/sub /spl infin//-filtering; Lyapunov function; Riccati differential equation; angular velocity; continuous-time systems; extended Kalman filter; induction motor; nonlinear systems; observer; robust control; rotor flux; state observation; Angular velocity; Convergence; Estimation error; Induction motors; Lyapunov method; Nonlinear systems; Observers; Riccati equations; Robust control; Rotors;
Journal_Title :
Automatic Control, IEEE Transactions on