In this paper active vibration control (AVC) methodology is presented by the author using self-sensing magnetic transducers for a flexible plate structure. H_∞ Optimized positive position feedback (HOPPF) controller is tested and verified for multi-modes multi-input-multi-output (MIMO) vibration suppression through simulation and experiment implement. Genetic algorithm (GA) searching is applied to obtain the optimal parameters of the controllers according to the minimization criterion solution to the H_∞ norm of the whole closed-loop system.
Table of Contents
1. Introduction
2. Flexible Plate Structure Modeling
2.1 Experimental Model
2.2 Analytical Model
2.3 Modal Analysis
2.4 Numerical Model
2.5 Simulation Model of The Plate
3. Multi-modes MIMO HOPPF
3.1 PPF Controller
3.2. Multi-modes MIMO HOPPF Controller Parameter Selection
4. Simulation
5. Experiment
6. Summary
Research Objectives and Topics
This work presents an active vibration control (AVC) methodology for flexible plate structures using self-sensing magnetic transducers and an H∞ optimized positive position feedback (HOPPF) controller, verified through both simulation and experimental implementation.
- Development of an H∞ optimized positive position feedback (HOPPF) controller.
- Application of genetic algorithms (GA) to determine optimal controller parameters.
- Implementation of multi-input-multi-output (MIMO) vibration suppression.
- Verification of the methodology through numerical simulation and experimental testing on a flexible plate.
- Utilization of self-sensing transducer technology for collocated sensing and actuation.
Excerpt from the Book
1. Introduction
Lightweight products and materials were employed by many designers to decrease the cross-sectional dimensions of the structures, improve dynamic performance and operating efficiency. The structures is becoming more flexible and susceptible. The harmful effects of unwanted vibration can be seen easily, especially at the moment the structure is operated at or near their natural frequencies or excited by disturbances which is coinciding with their natural frequencies [1]. Modal control is provided by vibration control engineers to suppress the vibration of flexible structures and has become the best choice for many years. Modal analysis and control refer to extract the interested mode signal from the structural response, decompose the dynamic equations of mechanical system into modal coordinates and design the a single degree-of-freedom oscillator in the modal domain [2,3].
Independent modal space control (IMSC) is proposed by Meirovitch, which can design the controller for each single mode and can be implemented independently to avoid the spillover to the residual modes [4-5]. But according to testing, it needs many sensors/ actuators as the number of modes which need to be controlled, it only can control a limited number of modes and not robust to uncertainties such as parameter fluctuation [6].
Summary of Chapters
1. Introduction: This chapter introduces the motivation for active vibration control in flexible structures and reviews existing modal control methodologies and their limitations.
2. Flexible Plate Structure Modeling: This section details the experimental setup, analytical derivation, and numerical modeling of the thin plate system, including the modal analysis.
3. Multi-modes MIMO HOPPF: This chapter defines the PPF controller theory and discusses the parameter selection process for the multi-mode MIMO controller using optimization.
4. Simulation: The simulation chapter describes the application of the developed HOPPF controller to the first four vibration modes within a MATLAB environment.
5. Experiment: This section covers the practical implementation of the controller using DSpace hardware and the self-sensing transducer technique to validate the results.
6. Summary: The final chapter concludes that the proposed HOPPF methodology effectively suppresses vibrations in the tested plate without introducing spillover or noise.
Keywords
Active Vibration Control, H∞ Optimized Positive Position Feedback, Multi-Input-Multi-Output, Genetic Algorithm, Flexible Plate, Modal Analysis, PPF Controller, Self-sensing, Transducer, Structural Dynamics, Damping, Vibration Suppression, MATLAB, Numerical Simulation, Experimental Implementation.
Frequently Asked Questions
What is the primary objective of this research?
The research aims to develop and verify an H∞ optimized positive position feedback (HOPPF) controller for the active vibration suppression of a multi-mode flexible plate structure.
Which specific control methodology is employed?
The study utilizes a multi-input-multi-output (MIMO) Positive Position Feedback (PPF) control strategy, optimized using an H∞ norm minimization criterion.
How are the optimal controller parameters determined?
Optimal controller parameters are found by applying a genetic algorithm (GA) to search for values that minimize the H∞ norm of the closed-loop system.
What is the role of the genetic algorithm in this study?
The genetic algorithm is used to tune the parameters of the MIMO PPF controller to achieve the best possible performance in terms of vibration suppression within a specific frequency bandwidth.
What hardware is used for the experimental validation?
The experimental validation utilizes a DSpace DS1103 Controller Board to interface with the system, perform signal processing, and manage the acquisition and output of control signals.
What does the term "self-sensing" mean in this context?
Self-sensing refers to a technique where the transducer is used for both actuation and sensing simultaneously by measuring back-EMF voltage, thus eliminating the need for additional independent sensors.
How does the performance of the HOPPF controller compare to other methods regarding spillover?
According to the results, the proposed methodology successfully suppresses vibration without the issues of spillover or significant noise at the moment of controller activation, unlike some other traditional methods.
What frequency range was covered during the experimental testing?
The experimental tests were conducted focusing on the first four natural resonant frequencies of the plate, specifically targeting the vibration suppression within a relevant operational range.
- Citar trabajo
- Zhonghui Wu (Autor), 2015, Active Vibration Control Of Plate Structure Using Electromagnetic Transducer Based On H_∞ Optimized Positive Position Feedback, Múnich, GRIN Verlag, https://www.grin.com/document/323077
