Abstract
Many efforts have been made for model predictive control MPC to enlarge terminal region where the stability is guaranteed by including a proper terminal weighting. This paper investigates how to maximize the ellipsoidal terminal region by using a more general method to design MPC: calculating terminal region and terminal weighting separately. With Jordan canonical form, the new ellipsoid-based method can result in terminal regions which are infinite (in certain directions) even in the case of open-loop unstable systems. Some most popular methods are just special cases of this new method. Simulation results illustrate the effectiveness of the proposed algorithms.
| Original language | English |
|---|---|
| Pages (from-to) | 69-79 |
| Number of pages | 11 |
| Journal | Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering |
| Volume | 222 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2008 |
Keywords
- Linear matrix inequalities (LMI)
- Model predictive control (MPC)
- Terminal region
- Terminal weighting matrix
ASJC Scopus subject areas
- Control and Systems Engineering
- Mechanical Engineering