Adaptive Modeling, Identification, and control of dynamic structural Systems. I: Theory
- 1 November 1989
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Engineering Mechanics
- Vol. 115 (11) , 2386-2405
- https://doi.org/10.1061/(asce)0733-9399(1989)115:11(2386)
Abstract
A concise review of the fheory of adaptive modeling, identification, and control of dynamic structural systems based on discrete‐time recordings is presented. Adaptive methods have four major advantages over the classical methods: (1) Removal of the noise from the signal is done over the whole frequency band; (2) time‐varying characteristics of systems can be tracked; (3) systems with unknown characteristics can be controlled; and (4) a small segment of the data is needed during the computations. Included in the paper are the discrete‐time representation of single‐input single‐output (SISO) systems, models for SISO systems with noise, the concept of stochastic approximation, recursive prediction error method (RPEM) for system identification, and the adaptive control. Guidelines for model selection and model validation and the computational aspects of the method are also discussed in the paper. The present paper is the first of two companion papers. The theory given in the paper is limited to that which is...Keywords
This publication has 35 references indexed in Scilit:
- Model-structure selection by cross-validationInternational Journal of Control, 1986
- A modified prefilter for some recursive parameter estimation algorithmsIEEE Transactions on Automatic Control, 1982
- Comparison of six on-line identification and parameter estimation methodsAutomatica, 1974
- Comparison of six on-line identification algorithmsAutomatica, 1974
- On self tuning regulatorsAutomatica, 1973
- Discrete Time Series Synthesis of Randomly Excited Structural System ResponseThe Journal of the Acoustical Society of America, 1972
- New Results in Linear Filtering and Prediction TheoryJournal of Basic Engineering, 1961
- A New Approach to Linear Filtering and Prediction ProblemsJournal of Basic Engineering, 1960
- A Stochastic Approximation MethodThe Annals of Mathematical Statistics, 1951
- On the mathematical foundations of theoretical statisticsPhilosophical Transactions of the Royal Society A, 1922