Constrained MPC for uncertain linear systems with ellipsoidal target sets

✍ Scribed by A.C. Brooms; B. Kouvaritakis; Y.I. Lee

• Book ID: 104300403
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 139 KB
• Volume: 44
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(01)00135-9

✦ Synopsis

Robustly feasible invariant sets provide a way of identifying stabilizable regions for uncertain=time-varying linear systems with input constraints under ÿxed 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.