MODELING, IDENTIFICATION AND ADAPTIVE CONTROL OF A NONLINEAR SYSTEM

Abstract

Mathematical or physical models offer a possibility to solve problems like to control un- known state variables. These models are often described by physical parameters. Some of these parameters can be determined beforehand, some of them can only be identified in the running process. In this paper an algorithm to identify physical parameters is presented in the state space. The mathematical model of a nonlinear thermal system is developed and together with the identification algorithm the adaptive feedback control of not measurable state variables is shown. A simple and robust feedback controller is presented based on the power balance. A brief discussion of the results of the control and - at the same time - the estimation of unknown parameters is closing the paper.