Application to the Activated Sludge Process

Modeling & Control

of Bilinear Systems

By Mats Ekman

Uppsala Dissertations from the Faculty of Science and Technology, No. 65

December 2005

Uppsala University Press

ISBN: 9155463428

237 pages, Illustrated, 6 ½ x 9 ½”

$57.50 Paper Original

This is a Ph.D. dissertation. This thesis concerns modeling and control of bilinear systems (BLS). BLS are linear by not jointly linear in state and control. In the first part of the thesis, a background to BLS and their applications to modeling and control is given. The second part, and likewise the principal theme of this thesis, is dedicated to theoretical aspects of identification, modeling, and control of mainly BLS, but also linear systems.

In the last part of the thesis, applications of bilinear and linear modeling and control to the activated sludge process (ASP) are given. In the system identification part of the thesis special emphasis is devoted to errors-in-variables (EIV) problems for linear as well as bilinear systems. The parameter estimation problem for continuous-time BLS is also investigated.

One main point is that both the EIV problem and the continuous time BLS parameter estimation problem can be treated as separable least-squares (LS) problems. A new system of equations and separable LS, is introduced for identification of parameters in dynamic linear and bilinear systems with EIV, and for parameter estimation of continuous-time BLS.

Math; Environmental

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