Stabilization of Feedback Linearized Nonlinear Processes under Bounded Perturbations

In this paper, we consider the problem of designing a stabilizing linear controller for a feedback linearized nonlinear system under the influence of bounded perturbations. The feedback linearized (and perturbed) nonlinear system is equivalent to a Quasi Linear System. A sufficient condition using Lyapunov stability theory is presented to obtain a linear state feedback controller stabilizing the Quasi Linear System and the nonlinear system as well. A method is given to obtain th least conservative (smallest) stabilizing gains. The results are applied on a chemical reactor.