Approximation Methods for the Identification and Control of Distributed Parameter Systems with Applications to Flexible Structures
Approximation Methods for the Identification and Control of Distributed Parameter Systems with Applications to Flexible Structures

Author:

Publisher:

Published: 1991

Total Pages: 14

ISBN-13:

DOWNLOAD EBOOK

A brief overview and summary of results obtained in the development, analysis, and testing of approximation theory and techniques for the identification and control of distributed parameter systems is provided. The research carried out under this grant can be classified into seven sub-headings. These include (1) the identification of nonlinear distributed parameter systems, (2) the identification and control of thermoelastic systems, (3) the identification and control of degenerate distributed parameter systems, (4) discrete-time linear quadratic control of distributed parameter systems, (5) optimal LQG control of discrete time parabolic systems, (6) optimal fixed finite order compensators for infinite dimensional systems, and (7) convergence of Galerkin approximations to operator Riccati equations. Our results in each of these areas is described separately and in turn.

Approximation Methods for the Identification and Control of Distributed Parameter Systems
Approximation Methods for the Identification and Control of Distributed Parameter Systems

Author: I. G. Rosen

Publisher:

Published: 1987

Total Pages: 43

ISBN-13:

DOWNLOAD EBOOK

Efforts to develop computational methods for the identification and optimal control of linear and nonlinear systems governed by distributed parameter systems are reported on. Specifically, approximation methods for determining Optimal LOG compensators (feedback control and estimator gains) and functional parameters in linear and nonlinear partial differential equations and hereditary systems were developed, analyzed and tested. The study included theoretical, experimental and numerical components. Covergence theories for spline-based and modal finite element schemes were established and extensive numerical studies on both conventional (serial) and vector supercomputers were carried out. A parameter estimation scheme was tested using experimental data taken from the RPL structure, a laboratory experiment designed to test control algorithms for the large angle slewing of spacecraft with flexible appendages, and other projects involving the identification of flexible structures based upon experimental data were initiated.

Optimal Measurement Methods for Distributed Parameter System Identification
Optimal Measurement Methods for Distributed Parameter System Identification

Author: Dariusz Ucinski

Publisher: CRC Press

Published: 2004-08-27

Total Pages: 392

ISBN-13: 0203026780

DOWNLOAD EBOOK

For dynamic distributed systems modeled by partial differential equations, existing methods of sensor location in parameter estimation experiments are either limited to one-dimensional spatial domains or require large investments in software systems. With the expense of scanning and moving sensors, optimal placement presents a critical problem.

Approximation Techniques for Parameter Estimation and Feedback Control for Distributed Models of Large Flexible Structures
Approximation Techniques for Parameter Estimation and Feedback Control for Distributed Models of Large Flexible Structures

Author: Harvey Thomas Banks

Publisher:

Published: 1984

Total Pages: 30

ISBN-13:

DOWNLOAD EBOOK

"We discuss approximation ideas that can be used in parameter estimation and feedback control for Euler-Bernoulli models of elastic systems. Focusing on parameter estimation problems, we outline how one can obtain convergence results for cubic spline-based schemes for hybrid models involving an elastic cantilevered beam with tip mass and base acceleration. Sample numerical findings are also presented" -- abstract.