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Control and Estimation in Distributed Parameter Systems

Control and Estimation in Distributed Parameter Systems
Author: H. T. Banks
Publisher: SIAM
Total Pages: 239
Release: 1992-01-01
Genre: Technology & Engineering
ISBN: 9781611970982

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Research in control and estimation of distributed parameter systems encompasses a wide range of applications including both fundamental science and emerging technologies. The latter include smart materials (piezoceramics, shape memory alloys, magnetostrictives, electrorheological fluids) fabrication and testing, design of high-pressure chemical vapor deposition (CVD) reactors for production of microelectronic surfaces (e.g., semiconductors), while the former include groundwater contamination cleanup and other environmental modeling questions, climatology, flow control, and fluid-structure interactions as well as more traditional topics in biology, mechanics, and acoustics. These expository papers provide substantial stimulus to both young researchers and experienced investigators in control theory. Includes a comprehensive and lucid presentation that relates frequency domain techniques to state-space or time domain approaches for infinite-dimensional systems including design of robust stabilizing and finite-dimensional controllers for infinite-dimensional systems. It focuses on these two approaches to control design in an integrated system theoretic framework. This is excellent reading for researchers in both the frequency domain and time domain control communities. In other articles, topics considered include pointwise control of distributed parameter systems, bounded and unbounded sensors and actuators, stabilization issues for large flexible structures, and an overview discussion of damping models for flexible structures.


Frequency Domain Techniques for H? Control of Distributed Parameter Systems

Frequency Domain Techniques for H? Control of Distributed Parameter Systems
Author: Hitay Ozbay
Publisher: SIAM
Total Pages: 200
Release: 2018-10-09
Genre: Technology & Engineering
ISBN: 1611975395

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This book presents new computational tools for the H? control of distributed parameter systems in which transfer functions are considered as input-output descriptions for the plants to be controlled. The emphasis is on the computation of the controller parameters and reliable implementation. The authors present recent studies showing that the simplified skew-Toeplitz method is applicable to a wide class of systems, supply detailed examples from systems with time delays and various engineering applications, and discuss reliable implementation of the controller, complemented by a software based on MATLAB. Frequency Domain Techniques for H? Control of Distributed Parameter Systems is intended for advanced undergraduate and early graduate students interested in robust control of distributed parameter systems?time delay systems?as well as researchers and engineers working in related fields. It can be used in the following courses: Introduction to Robust Control with Applications to Distributed Parameter Systems and Introduction to Robust Control with Applications to Time Delay Systems.


H∞-Control for Distributed Parameter Systems: A State-Space Approach

H∞-Control for Distributed Parameter Systems: A State-Space Approach
Author: Bert van Keulen
Publisher: Springer Science & Business Media
Total Pages: 251
Release: 2012-12-06
Genre: Science
ISBN: 1461203473

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VI 5.3 Proof of the measurement-feedback result. 144 5.4 Relaxation of the a priori assumptions .. 165 5.4.1 Including the feedthroughs . . . . . 165 5.4.2 How to 'remove' the regularity assumptions 174 6 Examples and conclusions 177 6.1 Delay systems in state-space . . . . . . . . . . 177 6.1.1 Dynamic controllers for delay systems. 180 184 6.1.2 A linear quadratic control problem . . 6.1.3 Duality ............... . . 189 6.2 The mixed-sensitivity problem for delay systems 192 6.2.1 Introduction and statement of the problem. 192 6.2.2 Main result .............. . 194 6.3 Conclusions and directions for future research. 200 A Stability theory 205 A.1 205 A.2 206 B Differentiability and some convergence results 207 B.l 207 208 B.2 B.3 209 209 B.4 B.5 209 B.6 211 B.7 213 214 C The invariant zeros condition C.1 214 221 D The relation between P, Q and P 221 D.1 ............ .... . Bibliography 230 239 Index Preface Control of distributed parameter systems is a fascinating and challenging top ic, from both a mathematical and an applications point of view. The same can be said about Hoc-control theory, which has become very popular lately. I am therefore pleased to present in this book a complete treatment of the state-space solution to the Hoo-control problem for a large class of distributed parameter systems.


Frequency Domain Techniques for H? Control of Distributed Parameter Systems

Frequency Domain Techniques for H? Control of Distributed Parameter Systems
Author: Hitay Ozbay
Publisher: SIAM
Total Pages: 204
Release: 2018-10-09
Genre: Technology & Engineering
ISBN: 1611975409

Download Frequency Domain Techniques for H? Control of Distributed Parameter Systems Book in PDF, ePub and Kindle

This book presents new computational tools for the H? control of distributed parameter systems in which transfer functions are considered as input-output descriptions for the plants to be controlled. The emphasis is on the computation of the controller parameters and reliable implementation. The authors present recent studies showing that the simplified skew-Toeplitz method is applicable to a wide class of systems, supply detailed examples from systems with time delays and various engineering applications, and discuss reliable implementation of the controller, complemented by a software based on MATLAB. Frequency Domain Techniques for H? Control of Distributed Parameter Systems is intended for advanced undergraduate and early graduate students interested in robust control of distributed parameter systems?time delay systems?as well as researchers and engineers working in related fields. It can be used in the following courses: Introduction to Robust Control with Applications to Distributed Parameter Systems and Introduction to Robust Control with Applications to Time Delay Systems.


Control of Distributed Parameter Systems 1989

Control of Distributed Parameter Systems 1989
Author: M. Amouroux
Publisher: Elsevier
Total Pages: 533
Release: 2014-06-28
Genre: Technology & Engineering
ISBN: 1483298817

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This volume presents state-of-the-art reports on the theory, and current and future applications of control of distributed parameter systems. The papers cover the progress not only in traditional methodology and pure research in control theory, but also the rapid growth of its importance for different applications. This title will be of interest to researchers working in the areas of mathematics, automatic control, computer science and engineering.


Investigation of a Frequency Domain Identification Technique for Distributed Parameter System

Investigation of a Frequency Domain Identification Technique for Distributed Parameter System
Author:
Publisher:
Total Pages: 47
Release: 1972
Genre:
ISBN:

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Often in process simulation studies and process control it is desirable to have an approximate transfer function that could be used for dynamic simulation via analog computer or for feedforward control algorithms. The scope of the work is concerned with developing a general analytical technique that can be easily implemented in obtaining approximate transfer functions for distributive parameter systems of the convective type, where the spacial dependence of the dependent variable is of little interest from a control viewpoint. This technique relies on a distributed parameter model that is transformed into ordinary differential equations in the frequency domain. These equations are then analyzed in the frequency domain using well known classical techniques. The frequency solution of the ordinary differential equation provides the necessary data to carry out regressions on the parameters of the postulated transfer function.


Control of Distributed Parameter Systems

Control of Distributed Parameter Systems
Author: S. P. Banks
Publisher: Elsevier
Total Pages: 554
Release: 2014-05-18
Genre: Computers
ISBN: 1483151123

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Control of Distributed Parameter Systems covers the proceedings of the Second IFAC Symposium, Coventry, held in Great Britain from June 28 to July 1, 1977. The book focuses on the methodologies, processes, and techniques in the control of distributed parameter systems, including boundary value control, digital transfer matrix, and differential equations. The selection first discusses the asymptotic methods in the optimal control of distributed systems; applications of distributed parameter control theory of a survey; and dual variational inequalities for external eigenvalue problems. The book also ponders on stochastic differential equations in Hilbert space and their application to delay systems and linear quadratic optimal control problem over an infinite time horizon for a class of distributed parameter systems. The manuscript investigates the semigroup approach to boundary value control and stability of nonlinear distributed parameter systems. Topics include boundary control action implemented through a dynamical system; classical boundary value controls; stability of nonlinear systems; and feedback control on the boundary. The text also focuses on the functional analysis interpretation of Lyapunov stability; method of multipliers for a class distributed parameter systems; and digital transfer matrix approach to distributed system simulation. The selection is a dependable source of data for readers interested in the control of distributed parameter systems.