Abstract:

To realize precise control for CSTR(Continuous Stirring Tank Reactor) systems in actual reactions, a robust L₂L_∞ state feedback control problem is studied by using a T\|S fuzzy model to approximate the nonlinear object according to reaction characteristics of the CSTR. All reactor temperatures which are easier to be measured can be treated as premise variables in the model, where fewer number of fuzzy rules are employed. The design method of partial controllers is given by applying the PDC(Parallel Distributed Compensation) algorithm. A global controller is designed by adopting the LMI(Linear Matrix Inequality) technique, and the design of controllers is cast into a convex optimization problem. Simulations are provided to demonstrate the effectiveness of the proposed design scheme, which can be applied to other chemical industrial reactions.

Key words: robust L₂L_&infin, performance, continuous stirring tank reactor, T-S fuzzy model, linear matrix inequalities