Robustness of Luenberger function observer to great inertia system

The contradiction of speediness and stability is a difficult problem in face of control theory study and control system design at all times. The paper takes time-variable and great-inertia controlled object and its algebra equivalence system as example open out and explain inherence relation produced by character of time-variable to control index. The sufficiency condition of robust Luenberger function observer comes into existence presented by mathematical analysis. And engineering application method solving the contradiction of speediness and stability has proposed. The practicability and the validity of the design method have been proved by effect of engineering practice in boiler steam temperature control system of thermal power plant.