Constrained MPC for uncertain linear systems with ellipsoidal target sets

Journal article

Robustly feasible invariant sets provide a way of identifying stabilizable regions for uncertain/time-varying linear systems with input constraints under fixed state feedback control laws. With the introduction of extra degrees of freedom in the form of perturbed control laws, these stabilizable regions can be enlarged. This was done in Lee and Kouvaritakis (Automatica 36 (2000) 1497-1504) in conjunction with polyhedral invariant sets and the aim here is to extend this work using ellipsoidal target sets. We also extend the analysis to take into account both polytopic and unstructured bounded disturbances, as well as unstructured uncertainties. © Elsevier Science B.V. All rights reserved.

Authors: Brooms, A; Kouvaritakis, B; Lee, Y

• Publication status: Published
• Journal: SYSTEMS and CONTROL LETTERS
• Volume: 44
• Issue: 3
• Pages: 157-166
• Publication date: 2001-10-23
• DOI: 10.1016/S0167-6911(01)00135-9
• ISSN: 0167-6911
• Language: English
• Keywords: invariant ellipsoids; linear systems; linear matrix inequalities; feasibility; robust stability