Constrained MPC for uncertain linear systems with ellipsoidal target sets

A. C. Brooms; B. Kouvaritakis; Y. I. Lee

doi:10.1016/S0167-6911(01)00135-9

Constrained MPC for uncertain linear systems with ellipsoidal target sets

A. C. Brooms, B. Kouvaritakis, Y. I. Lee

Dept. of Electrical and Information Engineering

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	157-166
Number of pages	10
Journal	Systems and Control Letters
Volume	44
Issue number	3
DOIs	https://doi.org/10.1016/S0167-6911(01)00135-9
State	Published - 23 Oct 2001

Keywords

Feasibility
Invariant ellipsoids
Linear matrix inequalities
Linear systems
Robust stability

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10.1016/S0167-6911(01)00135-9

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abstract = "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.",

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AU - Kouvaritakis, B.

AU - Lee, Y. I.

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Y1 - 2001/10/23

N2 - 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.

AB - 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.

KW - Feasibility

KW - Invariant ellipsoids

KW - Linear matrix inequalities

KW - Linear systems

KW - Robust stability

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SN - 0167-6911

VL - 44

SP - 157

EP - 166

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 3

ER -

Constrained MPC for uncertain linear systems with ellipsoidal target sets

Abstract

Keywords

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