Petsagkourakis, P;
Heath, W;
Theodoropoulos, C;
(2017)
IQC analysis of constrained MPC of large-scale systems.
In: Espuna, A and Graells, M and Puigjaner, L, (eds.)
Computer Aided Chemical Engineering.
(pp. pp. 1627-1632).
Elsevier Science BV: Barcelona, Spain.
![[thumbnail of 17526_final.pdf]](https://discovery.ucl.ac.uk/style/images/fileicons/text.png) |
Text
17526_final.pdf - Accepted Version Access restricted to UCL open access staff Download (75kB) |
Abstract
Technological advances have led to the widespread use of more complex systems in both industrial and academic practice. Model predictive control (MPC) is a strong and widely used control methodology. MPC has been first applied to the chemical process industries and now it is also used in microelectronics. The advantage of MPC is that it can exploit a model of the process and, using the concept of moving horizons, it can find the optimum path for the manipulated variables. However, it is not straightforward or even computationally feasible to use MPC for distributed parameter systems consisting of systems of Partial Differential Equations (PDEs). This work exploits the dissipative nature that many engineering systems exhibit, for model order reduction (MOR) purposes. Dissipativity is expressed as separation of eigenvalues in the spectrum of the linearized system and therefore separation of modes into slow and fast ones. These types of problems contain uncertainties that affect the controller’s stability. The stability and robustness of predictive control can be analyzed using the theory of integral quadratic constraints (IQCs). In this work we employ successive linearization off-line, constructing a model pool that consists of reduced size linear models. A dissipation inequality is then used to compute an upper bound for the input/output gain when MPC is employed, exploiting the IQCs to consider the uncertainties of the closed loop system. The effectiveness of the proposed method is demonstrated through two chemical engineering case studies.
| Type: | Proceedings paper |
|---|---|
| Title: | IQC analysis of constrained MPC of large-scale systems |
| Event: | 27th European Symposium on Computer-Aided Process Engineering (ESCAPE) |
| Location: | Barcelona, SPAIN |
| Dates: | 01 October 2017 - 05 October 2017 |
| DOI: | 10.1016/B978-0-444-63965-3.50273-7 |
| Publisher version: | https://doi.org/10.1016/B978-0-444-63965-3.50273-7 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Robust stability, model predictive control, model reduction, integral quadratic constraints |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10069557 |
Archive Staff Only
 |
View Item |
