LINEAR FEEDBACK EQUIVALENCE AND NONLINEAR CONTROL OF A CLASS OF TWO-DIMENSIONAL SYSTEMS
- 1 June 1988
- journal article
- research article
- Published by Taylor & Francis in Chemical Engineering Communications
- Vol. 68 (1) , 31-41
- https://doi.org/10.1080/00986448808940395
Abstract
This paper applies the concept of linear feedback equivalence to two-dimensional nonlinear control systems of a certain model structure. Uniqueness and stability characteristics of the system are investigated. It is shown that global asymptotic stability can in general be achieved. A simple mathematical expression for a component of the unique steady-state is derived which provides a guide for the choice of the control parameters to obtain desirable dynamic properties and minimize steady-state offset. Numerical experiments in the phase plane of a model of an exothermic CSTR are employed to verify the analysis.Keywords
This publication has 13 references indexed in Scilit:
- Nonlinear state feedback synthesis by global input/output linearizationAIChE Journal, 1987
- LINEAR FEEDBACK EQUIVALENCE AND CONTROL OF AN UNSTABLE BIOLOGICAL REACTORChemical Engineering Communications, 1986
- INPUT-MULTIPLICITY IN LUMPED-PARAMETER SYSTEMSChemical Engineering Communications, 1985
- AN EXOTHERMIC CONTINUOUS STIRRED TANK REACTOR IS FEEDBACK EQUIVALENT TO A LINEAR SYSTEMChemical Engineering Communications, 1985
- Bifurcation characteristics of nonlinear systems under conventional pid controlChemical Engineering Science, 1984
- An example of a nonlinear regulatorIEEE Transactions on Automatic Control, 1984
- Global transformations of nonlinear systemsIEEE Transactions on Automatic Control, 1983
- Input multiplicities in nonlinear, multivariable control systemsAIChE Journal, 1982
- Feedback control of unstable states in a laboratory reactorChemical Engineering Science, 1975
- Multiplicity, Stability, and Sensitivity of States in Chemically Reacting Systems—A ReviewPublished by American Chemical Society (ACS) ,1975