Robustness of the quadratic partial eigenvalue assignment using spectrum sensitivities for state and derivative feedback designs

• Autor(a) principal: Araújo, José Mario
• Data de Publicação: 2018
• Outros Autores: Dórea, Carlos Eduardo Trabuco, Gonçalves, Luiz Marcos Garcia, Carvalho, Joao Batista da Paz, Datta, Biswa Nath
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UFRGS
• Texto Completo: http://hdl.handle.net/10183/180121
• topic: Autovalores; Vibração : Controle; Robustez : Estimacao parametrica : Evento; Espectro de energia; Partial eigenvalue assignment; Active vibration control; Robustness; Spectrum sensitivity

Based on the notions of spectrum sensitivities, proposed by us earlier, we develop a novel optimization approach to deal with robustness in the closed-loop eigenvalues for partial quadratic eigenvalue assignment problem arising in active vibration control. A distinguished feature of this new approach is that the objective function is composed of only the system and the closed-loop feedback matrices. It does not need an explicit knowledge of the eigenvalues and eigenvectors. Furthermore, the approach is applicable to both the state-feedback and derivative feedback designs. These features make the approach viable to design an active vibration controller for practical applications to large real-life structures. A comparative study with existing algorithms and a study on the transient response of a real-life system demonstrate the effectiveness, superiority, and competitiveness of the proposed approach.