A study on Variable Region Variable Step-size LMS adaptive control of distillation columns

Bused on variable region control theory, a LMS (Least Mean Square) adaptive filtering algorithm with variable step-size is presented in this paper. In this algorithm, the step-size keeps changing with the variation of relational region. It is essential to balance the three main control performance indexes which include initial convergent speed, time-varying system tracking ability and convergence precision. The results from theory researches and simulation studies confirm that the new algorithm achieves such balance. Therefore, both the dynamic and static control characteristics are satisfactory. Finally, a well-known distillation column model is applied to verify the effectiveness of this new control strategy algorithm. The result indicates that the designed controller has simple structure and good control performance.