Design of an adaptive control of bilinear system with guaranteed stability

The design of an adaptive bilinear control system and its application to a class of combustion process is described. Its closed loop stability is guar anteed and proved with respect to bounded disturbances and modelling errors . The adaptive controller is applied to control a class of combustion proce ss with one input (flow of air) and one output (oxygen content), which is d ifficult to control due to its nonlinearity. Numerical simulation results s how that the bilinear adaptive controller has satisfactory. performance.