The process of burning in incinerator is a coupling non-linearity, multi in-out system, traditional automation of burning process is difficult to stabilize the combustion of MSW.

Due to the various characteristics of MSW and different methods of disposal, a uniform system cannot meet the needs to dispose MSW but cause unnecessary waste of resources.

Parts transfer equation, parts transfer matrix and system characteristic equation are established and fast calculation problem for natural vibration characteristic of MSW is solved .