Abstract:

A new design approach of observer is proposed for generalized dynamical systems with unknown input disturbances. By introducing proportional gain, derivative gain and multiple-integral gains, the estimation error dynamics can be guaranteed to be internally proper stable and the disturbance can be de-coupled successfully. The system state and the input disturbance can be asymptotically estimated simultaneously. The proposed observer is then extended to the bilinear generalized system case, bilinear time-delay generalized system case, and is also applied to estimate both system states and output noises for normal system case. Finally, an illustrative example is included.