非线性微分〖CDF*2〗代数系统的自适应状态观测器设计

针对非线性微分-代数系统，给出了可观性判据，提出了基于非线性微分-代数方程的自适应状态观测器设计方法。根据状态观测器工作点变化在线配置极点，获得合适的观测器的反馈增益阵，保证观测器在大范围内稳定工作。理论分析了存在模型误差时观测器的鲁棒性，证明如果模型稳态无差，观测器也是稳态无差的。以化工过程中的典型微分-代数系统为例，仿真结果证明了用该方法设计的观测器能够稳定收敛到状态真值，具有较好的动态性能。

Adaptive state observer design of nonlinear differential-algebraic systems

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.