Control of Structures with Cubic and Quadratic Non-Linearities with Time Delay Consideration



Document title: Control of Structures with Cubic and Quadratic Non-Linearities with Time Delay Consideration
Journal: Journal of the Brazilian Society of Mechanical Sciences
Database: PERIÓDICA
System number: 000312137
ISSN: 0100-7386
Authors: 1
2
Institutions: 1Fundacao Universidade Federal do Rio Grande, Escola Tecnica, Rio Grande, Rio Grande do Sul. Brasil
2Pontificia Universidade Catolica do Rio de Janeiro, Departamento de Engenharia Civil, Rio de Janeiro. Brasil
Year:
Season: May
Volumen: 24
Number: 2
Pages: 99-104
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental
English abstract This paper studies the effect of time delay on the active non-linear control of dynamically loaded flexible structures. The behavior of non-linear systems under state feedback control, considering a fixed time delay for the control force, is investigated. A control method based on non-linear optimal control, using a tensorial formulation and state feedback control is used. The state equations and the control forces are expressed in polynomial form and a performance index, quadratic in both state vector and control forces, is used. General polynomial representations of the non-linear control law are obtained and implemented for control algorithms up to the fifth order. This methodology is applied to systems with quadratic and cubic non-linearities. Strongly non-linear systems are tested and the effectiveness of the control system including a delay for the application of control forces is discussed. Numerical results indicate that the adopted control algorithm can be efficient for non-linear systems, chiefly in the presence of strong non-linearities but increasing time delay reduces the efficiency of the control system. Numerical results emphasize the importance of considering time delay in the project of active structural control systems
Disciplines: Ingeniería
Keyword: Ingeniería de control,
Ingeniería mecánica,
Control no lineal,
Tiempo,
Delay,
Sistemas de control,
Control óptimo
Keyword: Engineering,
Control engineering,
Mechanical engineering,
Nonlinear control,
Time,
Delay,
Control systems,
Optimal control
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