Vibrational Control of a Cantilever Beam Using Sensor and Actuator Averaging Methods

In this paper, governing equations for cantilever beams are derived. We go over sensor and actuator averaging, a method to create a spatial filter that is insensitive to model parameter uncertainty. We develop a controller to actively control cantilever beam vibration using accelerometer input. The controller is a classic single-sensor single-actuator system that achieves a phase margin of 31° and bandwidth of 3.5 kHz. We then use the same controller but implement a sensor averaging method to achieve a phase margin of 45° with the same bandwidth. Therefore, we increase our phase margin by almost 50% at almost no cost to the controls designer.

Name thesis:degree_name

Bachelor

Department dc:contributor.department

Massachusetts Institute of Technology. Department of Mechanical Engineering

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2024

Author dc:creator

• Rodriguez, Andre

Advisor dc:contributor.advisor

• Trumper, David L.

Statement dc:rights

• In Copyright - Educational Use Permitted
• Copyright retained by author(s)

Licence dc:rights.uri

• https://rightsstatements.org/page/InC-EDU/1.0/

Handle dc:identifier.uri

https://hdl.handle.net/1721.1/156581

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/156581