ROBUST VIBRATION CONTROL OF A FUNCTIONALLY GRADED CRACKED BEAM

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RAHMANI BEHROZ; GHOLAMI FARSHAD

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Journal: Journal of Science and Technology of Composites Year:2015 | Volume:2 | Issue:1 Page(s): 41-52

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Title

ROBUST VIBRATION CONTROL OF A FUNCTIONALLY GRADED CRACKED BEAM

Author(s)

RAHMANI BEHROZ | GHOLAMI FARSHAD | Issue Writer Certificate

Keywords

VIBRATION CONTROL FUNCTIONALLY GRADED CRACKEDQ2

BEAMQ2

RAYLEIGH–RITZQ2

ROBUST CONTROLQ2

THERMAL ENVIRONMENTQ2

Abstract

In this paper, vibration control of a cracked, functoinally graded, uncertain BEAM allocated in a THERMAL ENVIRONMENT has been investigated. For this purpose, piezoelectric patches are used as sensors to measure the displacement of the BEAM and also as actuators to apply control forces. In this way, firstly, partial differential equation governing the dynamics of the system is derived by considering the Euler-Bernoulli assumption using Lagrange method. Approximate solution of eigenvalue equation is achieved using RAYLEIGH–RITZ method. After that, time dependent ordinary differential equations is obtained using Galerkin projection scheme and then represented in the state-space form. Based on this model, a robust observer based output feedback controller is designed for this continuous-time model. In this regard, controller and observer gains are designed by a Lyapunov-based method. This procedure is done by solving a set on linear matrix inequalities. Simulation studies show the effectiveness of the proposed method.

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APA: Copy

RAHMANI, BEHROZ, & GHOLAMI, FARSHAD. (2015). ROBUST VIBRATION CONTROL OF A FUNCTIONALLY GRADED CRACKED BEAM. JOURNAL OF SCIENCE AND TECHNOLOGY OF COMPOSITES (JSTC), 2(1), 41-52. SID. https://sid.ir/paper/251644/en

Vancouver: Copy

RAHMANI BEHROZ, GHOLAMI FARSHAD. ROBUST VIBRATION CONTROL OF A FUNCTIONALLY GRADED CRACKED BEAM. JOURNAL OF SCIENCE AND TECHNOLOGY OF COMPOSITES (JSTC)[Internet]. 2015;2(1):41-52. Available from: https://sid.ir/paper/251644/en

IEEE: Copy

BEHROZ RAHMANI, and FARSHAD GHOLAMI, “ROBUST VIBRATION CONTROL OF A FUNCTIONALLY GRADED CRACKED BEAM,” JOURNAL OF SCIENCE AND TECHNOLOGY OF COMPOSITES (JSTC), vol. 2, no. 1, pp. 41–52, 2015, [Online]. Available: https://sid.ir/paper/251644/en

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