Publication
An LMI–based heuristic algorithm for vertex reduction in LPV systems
Journal Article (2019)
Journal
International Journal of Applied Mathematics and Computer Science
Pages
725-737
Volume
29
Number
4
Doc link
http://dx.doi.org/10.2478/amcs-2019-0054
File
Authors
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Sanjuan, Adrian
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Rotondo, Damiano
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Nejjari Akhi-Elarab, Fatiha
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Sarrate Estruch, Ramon
Projects associated
Abstract
The linear parameter varying (LPV) approach has proved to be suitable for controlling many non-linear systems. However, for those which are highly non-linear and complex, the number of scheduling variables increases rapidly. This fact makes the LPV controller implementation not feasible for many real systems due to memory constraints and computational burden. This paper considers the problem of reducing the total number of LPV controller gains by determining a heuristic methodology that combines two vertices of a polytopic LPV model such that the same gain can be used in both vertices. The proposed algorithm, based on the use of the Gershgorin circles, provides a combinability ranking for the different vertex pairs, which helps in solving the reduction problem in fewer attempts. Simulation examples are provided in order to illustrate the main characteristics of the proposed approach.
Categories
control system synthesis, control theory.
Author keywords
linear parameter varying (LPV) paradigm, linear matrix inequality (LMI), Gershgorin circles, gain scheduling, controller design
Scientific reference
A. Sanjuan, D. Rotondo, F. Nejjari and R. Sarrate. An LMI–based heuristic algorithm for vertex reduction in LPV systems. International Journal of Applied Mathematics and Computer Science, 29(4): 725-737, 2019.
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