Nonlinear decoupling control for a class of continuous stirred tank reactors

In this paper a new approach to the decoupling control problem using static state feedback is applied to the nonlinear model of a class of continuous stirred tank reactors(CSTR). The main feature of this approach is that it reduces the problem of determining the admissible state feedback control law to the solution of a system of first order partial differential equations. Based on these equations, necessary and sufficient conditions for the problem to have a solution as well as the general analytical solution for the admissible feedback control laws are derived. Applying this approach to a CSTR , the general analytical expression for the control law is produced. Moreover, it is proven that appropriate choise of the three parameters of the control law leads to a closed-loop system with linear input-output (i/o) description and arbitrarily assigned eigenvalues.