LQR-LMI control applied to convex-bounded domains

Cogent Engineering

Alessandro da Ponte Caun¹  Rodrigo da Ponte Caun²  Marcelo Carvalho Minhoto Teixeira³  Edvaldo Assunção³ 

[1] Faculty of José Bonifácio (FJB);Federal University of Technology - Paraná (UTFPR);São Paulo State University (UNESP);

关键词: linear quadratic regulator;    linear matrix inequalities;    decay rate;    parameter-dependent lyapunov functions;    robust control;   

DOI  :  10.1080/23311916.2018.1457206

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown