Is multiple-objective model-predictive control "optimal"?

C. M. Hackl, F. Larcher, A. Dötlinger, R. M. Kennel

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

25 Scopus citations

Abstract

We consider multiple-objective model-predictive control (MPC) of a linear time-invariant (LTI) single-input single-output (SISO) system (for simplicity without input constraints and/or disturbances). The performance index is the sum of weighted convex functionals J = Σi=1nw iJi (with wi ≥ 0). Although, by theory, the overall model-predictive control problem has a unique, globally optimal solution, this does not imply optimality of each sub-performance index Ji. To achieve 'desirable' control performance, one has to find 'decent' weighting factors wi; often done by 'trial-and-error' which should be avoided, since weighting factor design might be not intuitive (even for LTI SISO systems without constraints; as we will show). The inherent difficulty lies in the mismatch between the 'human performance index' (the optimality measure in the mind of the control engineer) and the implemented performance index J. In this paper, we illustrate these difficulties for a simple, linear third-order system and present some (old and new) approaches to ease weighting factor design. We do not give full answers but discuss first ideas which are admissible within the theoretical framework of standard MPC of LTI SISO systems.

Original languageEnglish
Title of host publicationSLED/PRECEDE 2013 - 2013 IEEE International Symposium on Sensorless Control for Electrical Drives and Predictive Control of Electrical Drives and Power Electronics
PublisherIEEE Computer Society
ISBN (Print)9781479906819
DOIs
StatePublished - 2013
Event2013 IEEE International Symposium on Sensorless Control for Electrical Drives and Predictive Control of Electrical Drives and Power Electronics, SLED/PRECEDE 2013 - Munich, Germany
Duration: 17 Oct 201319 Oct 2013

Publication series

NameSLED/PRECEDE 2013 - 2013 IEEE International Symposium on Sensorless Control for Electrical Drives and Predictive Control of Electrical Drives and Power Electronics

Conference

Conference2013 IEEE International Symposium on Sensorless Control for Electrical Drives and Predictive Control of Electrical Drives and Power Electronics, SLED/PRECEDE 2013
Country/TerritoryGermany
CityMunich
Period17/10/1319/10/13

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