LQR-LMI control applied to convex-bounded domains

Autor(es)

Caun, Rodrigo da Ponte ^[1] ; Assuncao, Edvaldo ; Minhoto Teixeira, Marcelo Carvalho ^[2] ; Caun, Alessandro da Ponte ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: COGENT ENGINEERING; v. 5, n. 1 APR 10 2018.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 11/17610-0 - Monitoramento e controle de sistemas dinâmicos sujeitos a falhas
• Beneficiário: Roberto Kawakami Harrop Galvão
• Modalidade de apoio: Auxílio à Pesquisa - Temático