Abstract:

For nonlinear differential-algebraic systems, a state observability criterion is presented, and a design  method of adaptive state observer is proposed. A desired feedback gain matrix is achieved by allocating the observer poles on-line based on the current operating point of the state observer to ensure that the observers can run in a wide range. The robustness of the observer is also analyzed when the modeling errors exist, and it is proved that if the model has no steady errors the observer will also have no steady errors. The simulation of the typical differential-algebraic system in chemical process shows that the observed state can converge to the real value and the proposed observer has a good dynamic performance.