Design method of urban water affair system fault detection functional observer

The invention discloses an urban water affair system fault detection functional observer design method. Firstly, a switching positive system state space model is established for an urban water affair system; and then, designing a function state equation and an estimation vector of the functional observer, and constructing a fault detection functional observer and an error dynamic system of the urban water affair system. Furthermore, the positive and stability conditions of an error dynamic system are optimized by using a linear programming method, so that the designed fault detection functional observer can provide positive asymptotic estimation. Simulation experiments prove that the fault detection functional observer designed by the method can effectively track the quantity to be estimated and detect the occurrence of fault signals in time, so that the safety and applicability of the water affair system are improved. The method is of great significance to control theory and practical application. 本发明公开了一种城市