Error-feedback servomechanism in non-linear systems

Abstract

We consider the controller design of the error-feedback servomechanism in exponentially stable non-linear systems. Using the concepts of integral manifold and singular perturbation, a non-linear controller is constructed that ensures a desired steady state tracking rate for unknown constant set-points. The servo rate in the error-feedback servomechanism is shown to be governed by not only the plant characteristics but also the initial conditions of the plant and controller. A self-tuning scheme is proposed to speed up the servo process.