The present invention provides a thermoelectric cooperative control method for the SOFC 
system based on fractional order sliding mode variable structure, comprising the following steps: S1, collecting parameters of 
system states and output under combinations of different input parameters of the SOFC 
system, acquiring an influence function of steady-state power, temperature, efficiency 
response characteristics and 
bypass valve opening BP within a full load interval on efficiency optimization, as well as an efficiency optimization function within a 
specified load switching interval and under a time-
delay condition; S2, acquiring a local optimal steady-state operation function, a 
global optimal function under the 
steady state developed and formed, and a power tracking function with different switching intervals and different time-
delay conditions; S3, calculating a sliding mode interval; S4, calculating a series reaching law function according to optimization functions; S5, eliminating chattering of the series reaching law function through a fractional order optimization method, and solving the reaching law by calculation. The 
present method can provide precise, flexible and stable control, greatly speed up the switch process, overcome time-
delay feature of the great 
inertia of the SOFC system, and realize fast load switching.