Wavelet-Hybrid Feedback-Least Mean Square Algorithm for Robust Control of Structures
- 1 January 2004
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Structural Engineering
- Vol. 130 (1), 128-137
- https://doi.org/10.1061/(asce)0733-9445(2004)130:1(128)
Abstract
In a companion article, the writers presented a hybrid feedback-least mean square (LMS) algorithm for control of structures through integration of a feedback control algorithm such as the linear quadratic regulator and linear quadratic Gaussian algorithms and the filtered-x LMS algorithm. Low-pass filtering of dynamic environmental disturbance signals due to winds and earthquakes is required when the hybrid feedback-LMS algorithm is used for control of civil structures, because the frequency bandwidths of such environmental signals are much wider than those of common structural systems. In this paper, it is shown that the wavelet transform can be used as an effective filtering scheme for control problems. A wavelet-hybrid feedback-LMS algorithm is presented for robust control of civil structures. The effectiveness of the proposed control model is demonstrated by application to an active tuned mass damper system and an active mass driver benchmark problem. Simulation results demonstrate that the proposed model is effective for control of both steady and transient vibrations without any significant additional computational burden, and can be used readily to enhance the performance of existing feedback control algorithms.This publication has 17 references indexed in Scilit:
- Enhancing Neural Network Traffic Incident‐Detection Algorithms Using WaveletsComputer-Aided Civil and Infrastructure Engineering, 2001
- Fuzzy-Wavelet RBFNN Model for Freeway Incident DetectionJournal of Transportation Engineering, 2000
- An Adaptive Conjugate Gradient Neural Network-Wavelet Model for Traffic Incident DetectionComputer-Aided Civil and Infrastructure Engineering, 2000
- Feature Extraction for Traffic Incident Detection Using Wavelet Transform and Linear Discriminant AnalysisComputer-Aided Civil and Infrastructure Engineering, 2000
- Benchmark problems in structural control: part I—Active Mass Driver systemEarthquake Engineering & Structural Dynamics, 1998
- Modeling and control of magnetorheological dampers for seismic response reductionSmart Materials and Structures, 1996
- Structural system identification using Least Mean Square (LMS) adaptive techniqueSoil Dynamics and Earthquake Engineering, 1995
- The application of multi-channel design methods for vibration control of an active structureSmart Materials and Structures, 1994
- Experimental Study of Active Control for MDOF Seismic StructuresJournal of Engineering Mechanics, 1989
- A theory for multiresolution signal decomposition: the wavelet representationIEEE Transactions on Pattern Analysis and Machine Intelligence, 1989