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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

LQR-LMI control applied to convex-bounded domains

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Author(s):
Caun, Rodrigo da Ponte [1] ; Assuncao, Edvaldo ; Minhoto Teixeira, Marcelo Carvalho [2] ; Caun, Alessandro da Ponte [3]
Total Authors: 4
Affiliation:
[1] Fed Univ Technol Parana UTFPR, Elect Engn Dept, Apucarana - Brazil
[2] Sao Paulo State Univ, UNESP, Sch Engn, Ilha Solteira - Brazil
[3] FJB, Jose Bonifacio - Brazil
Total Affiliations: 3
Document type: Journal article
Source: COGENT ENGINEERING; v. 5, n. 1 APR 10 2018.
Web of Science Citations: 1
Abstract

Recently, propositions of new conditions necessary and sufficient in the controller's synthesis, based on linear quadratic problems, have been especially combined with the mathematical description in the form of Linear Matrix Inequalities (LMI), expanding its applications for continuous and uncertain systems in convex-bounded domains. In this class of studies, the Linear Quadratic Regulator provides a good relationship between performance and eigenvalues allocation, based on minimization of energy signals of the state and control variables. Thus, this work permits to get less conservative conditions in LMI control through the use of parameter-dependent Lyapunov functions in obtaining robust controllers under a certain decay rate. Illustratively, application examples evaluate the performance of the proposed theorems, whose validation addresses tests of feasibility subject to variation limit of the decay rate and the analysis of the temporal behavior of the interest signals. (AU)

FAPESP's process: 11/17610-0 - Monitoring and control of dynamic systems subject to faults
Grantee:Roberto Kawakami Harrop Galvão
Support Opportunities: Research Projects - Thematic Grants