Active vibration suppression of a flexible beam via sliding mode and H ∞ control

Date

2005-12-01

Author

Itik, Mehmet
Salamci, Metin U.
Demet Ulker, F.
Yaman, Yavuz

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

243
views

0
downloads

n this study, sliding mode and H. control techniques are applied to a flexible beam in order to suppress some of the vibration modes. The beam is a clamped-free flexible structure having piezoelectric (PZT) patches as actuators and a laser displacement sensor for measuring the tip point deflection. The beam is modeled in two different ways for each control algorithm. To implement sliding mode control (SMC), Euler-Bernoulli beam model is used and a finite dimensional LTI model is formed by using assumed mode method. As the SMC requires state measurement, an observer is designed to estimate the states from the measured tip deflection. In order to implement H-infinity control algorithm, the model of the flexible beam, which is an approximate transfer function, is constructed by using system identification technique. The experimental results of designed SMC and H-infinity control algorithms are presented.

Subject Keywords

Sliding mode control, Laser beams, Vibration control, Flexible structures, Piezoelectric actuators, Laser modes, Displacement measurement, Observers, State estimation, Transfer functions

URI

https://hdl.handle.net/11511/46051

DOI

https://doi.org/10.1109/cdc.2005.1582328

Collections

Department of Aerospace Engineering, Conference / Seminar

Suggestions

OpenMETU
Core

Vibration suppression of an elastic beam via sliding mode control Itik, Mehmet; SALAMCİ, METİN UYMAZ; Ulker, F. Demet (2005-09-09) This paper presents experimental results of sliding mode control (SMC) technique applied to an elastic beam. The aim of the controller is to suppress first two vibration modes of the beam. Mathematical model of the beam is a finite dimensional model obtained from the Bernoulli-Euler beam equation. As the system states are to be available in order to design the SMC, an observer has been designed to obtain the states of the system by measuring tip deflection of the beam. By using observed states of the finite...
Sliding mode control for non-linear systems with adaptive sliding surfaces Durmaz, Burak; Özgören, Mustafa Kemal; SALAMCİ, METİN UYMAZ (2012-02-01) This study covers the sliding mode control design with adaptive sliding surfaces for a class of affine non-linear systems, which can be described by (x) over dot = A(x)x + B(x)u + f(x) + d(x, t). The main streamline of the study is the sliding surface design for such systems. The sliding surfaces are designed to be moving with varying slopes and offsets. The varying sliding surface parameters are determined by solving the state-dependent Riccati equations online during the control process. Thus, the sliding...
Active vibration suppression of a smart beam via self sensing piezoelectric actuator Uğur, Arıdoğan; Şahin, Melin; Yaman, Yavuz; Volkan, Nalbantoğlu (null; 2009-08-17) In this paper, an active vibration suppression of a smart beam using self-sensing piezoelectric actuator is presented. The smart beam is composed of a cantilever aluminium beam with four surface-bonded piezoelectric patches symmetrically located both side of the beam. Piezoelectric materials can transform mechanical deformation to electric signal and vice versa. This property of piezoelectric materials enables them to be used as an actuator and a sensor. In self-sensing actuator configuration, the piezoelec...
Active vibration control of a smart sandwich plate via piezoelectric sensors and actuators Aksoy, Yunus Tansu; Şahin, Melin; Department of Aerospace Engineering (2015) In this study, the first three vibration modes of a smart sandwich plate, which are 1st out-of-plane bending, 1st torsion and 2nd out-of-plane bending modes, are aimed to be suppressed by using active vibration control techniques comprising a pole placement controller. Smart sandwich plate is composed of a passive sandwich composite plate and piezoelectric patches (PZT Lead-Zirconate-Titanate) attached with epoxy adhesive at specific locations determined by using finite element modelling and analysis. Those...
Active Vibration Suppression of a Smart Beam by Using an LQG Control Algorithm Onat, Cem; Şahin, Melin; Yaman, Yavuz (2011-06-22) The aim of this study was to design and experimentally apply a Linear Quadratic Gaussian (LQG) controller for the active vibration suppression of a smart beam. The smart beam was a cantilever aluminum beam with eight symmetrically located surface-bonded PZT (Lead-Zirconate-Titanate) patches which were utilized both as sensor or actuator depending on their location. A group of PZT patches closed to the root of the beam was used as actuators in the bimorph configuration and a single patch was nominated as a s...

Citation Formats

M. Itik, M. U. Salamci, F. Demet Ulker, and Y. Yaman, “Active vibration suppression of a flexible beam via sliding mode and H ∞ control,” 2005, vol. 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46051.