Robust control to parametric uncertainties in smart structures using linear matrix inequalities



Document title: Robust control to parametric uncertainties in smart structures using linear matrix inequalities
Journal: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Database: PERIÓDICA
System number: 000312234
ISSN: 1678-5878
Authors: 1

Institutions: 1Universidade Estadual Paulista "Julio de Mesquita Filho", Departamento de Engenharia Mecanica, Ilha Solteira, Sao Paulo. Brasil
Year:
Season: Oct-Dic
Volumen: 26
Number: 4
Pages: 430-437
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Descriptivo
English abstract The study of algorithms for active vibrations control in flexible structures became an area of enormous interest, mainly due to the countless demands of an optimal performance of mechanical systems as aircraft and aerospace structures. Smart structures, formed by a structure base, coupled with piezoelectric actuators and sensor are capable to guarantee the conditions demanded through the application of several types of controllers. This article shows some steps that should be followed in the design of a smart structure. It is discussed: the optimal placement of actuators, the model reduction and the controller design through techniques involving linear matrix inequalities (LMI). It is considered as constraints in LMI: the decay rate, voltage input limitation in the actuators and bounded output peak (output energy). Two controllers robust to parametric variation are designed: the first one considers the actuator in non-optimal location and the second one the actuator is put in an optimal placement. The performance are compared and discussed. The simulations to illustrate the methodology are made with a cantilever beam with bonded piezoelectric actuators
Disciplines: Ingeniería
Keyword: Ingeniería de control,
Control robusto,
Desigualdades matriciales lineales,
Piezoelectricidad,
Colocación óptima
Keyword: Engineering,
Control engineering,
Robust control,
Linear matrix inequalities,
Piezoelectricity,
Optimal placement
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