Batch processes are not with highly nonlinearity

but also suffer from the actuator failures. Study of the stability of nonlinear batch processes under failure conditions is of great significance. With considering on the actuator gain faults and the highly nonlinearity

a new T-S fuzzy model-based iterative learning fault-tolerant control method is proposed for nonlinear batch process. Firstly

the T-S fuzzy model is employed to represent the nonlinear batch process. Then a 2D compound iterative learning fault-tolerant controller is proposed by exploiting the 2D and repetitive nature of batch processes

and the equivalent 2D Rosser model of the fuzzy model is constructed. Lastly

the sufficient condition guaranteeing the system stable is given through a Lyapunov function method

and the controller gains are designed in terms of linear matrix inequalities (LMIs). Simulation to a highly nonlinear continuous stirred tank reactor (CSTR) demonstrates the feasibility and efficiency of the proposed method.