Initialized high gain observer design for a class of nonlinear differential-algebraic equation subsystems

For a class of nonlinear differential-algebraic equations subsystems: index one and interconnection input measurable, the problem of state observation is considered and a design scheme of initialization high gain observer is proposed in this paper. Firstly, the equivalent transformation of the system is achieved by a nonlinear diffeomorphism transformation. Then for the equivalent system, an initialized state observer design is given which makes observation error exponentially converges to zero. Finally, a numerical simulation is presented and the simulation results demonstrate the effectiveness of the proposed method.