Error-feedback servomechanism in non-linear systems
- 1 May 1992
- journal article
- research article
- Published by Informa UK Limited in International Journal of Control
- Vol. 55 (5), 1093-1114
- https://doi.org/10.1080/00207179208934274
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.Keywords
This publication has 11 references indexed in Scilit:
- The self-tuning robust servomechanism problemIEEE Transactions on Automatic Control, 1989
- Integral manifold as a tool for reduced-order modeling of nonlinear systems: A synchronous machine case studyIEEE Transactions on Circuits and Systems, 1989
- Exact design manifold control of a class of nonlinear singularly perturbed systemsIEEE Transactions on Automatic Control, 1987
- Tracking and disturbance rejection of MIMO nonlinear systems with PI controllerIEEE Transactions on Automatic Control, 1985
- Integral manifolds and decomposition of singularly perturbed systemsSystems & Control Letters, 1984
- Robust stability of systems with integral controlPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1983
- The robust non-linear servomechanism problemInternational Journal of Control, 1979
- Geometric singular perturbation theory for ordinary differential equationsJournal of Differential Equations, 1979
- Multivariable tuning regulators: The feedforward and robust control of a general servomechanism problemIEEE Transactions on Automatic Control, 1976
- The computation of finite stability regions by means of open Liapunov surfaces†International Journal of Control, 1969