Output feedback stabilization control for a class of nonlinear differential-algebraic-equation subsystems

For nonlinear differential-algebraic equations subsystems satisfying linear growth conditions, the problem of output feedback stabilization control is considered in this paper. The design of the state observer and that of the controller are coupled. The proposed observer is non-initialized and linear which robustify the observer. Based on Backstepping approach, a linear dynamic output compensator is constructed, through which the whole closed-loop systems are asymptotically stable. The simulation results demonstrate the effectiveness of the proposed control scheme.