H8-Control for Distributed Parameter Systems: A State-Space Approach

H8-Control for Distributed Parameter Systems: A State-Space Approach PDF Author: Bert van Keulen
Publisher: Springer Science & Business Media
ISBN: 9780817637095
Category : Mathematics
Languages : en
Pages : 264

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Book Description
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.

H8-Control for Distributed Parameter Systems: A State-Space Approach

H8-Control for Distributed Parameter Systems: A State-Space Approach PDF Author: Bert van Keulen
Publisher: Springer Science & Business Media
ISBN: 9780817637095
Category : Mathematics
Languages : en
Pages : 264

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Book Description
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.

Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems

Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems PDF Author: Han-Xiong Li
Publisher: Springer Science & Business Media
ISBN: 940070741X
Category : Mathematics
Languages : en
Pages : 175

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Book Description
The purpose of this volume is to provide a brief review of the previous work on model reduction and identifi cation of distributed parameter systems (DPS), and develop new spatio-temporal models and their relevant identifi cation approaches. In this book, a systematic overview and classifi cation on the modeling of DPS is presented fi rst, which includes model reduction, parameter estimation and system identifi cation. Next, a class of block-oriented nonlinear systems in traditional lumped parameter systems (LPS) is extended to DPS, which results in the spatio-temporal Wiener and Hammerstein systems and their identifi cation methods. Then, the traditional Volterra model is extended to DPS, which results in the spatio-temporal Volterra model and its identification algorithm. All these methods are based on linear time/space separation. Sometimes, the nonlinear time/space separation can play a better role in modeling of very complex processes. Thus, a nonlinear time/space separation based neural modeling is also presented for a class of DPS with more complicated dynamics. Finally, all these modeling approaches are successfully applied to industrial thermal processes, including a catalytic rod, a packed-bed reactor and a snap curing oven. The work is presented giving a unifi ed view from time/space separation. The book also illustrates applications to thermal processes in the electronics packaging and chemical industry. This volume assumes a basic knowledge about distributed parameter systems, system modeling and identifi cation. It is intended for researchers, graduate students and engineers interested in distributed parameter systems, nonlinear systems, and process modeling and control.

Optimal Measurement Methods for Distributed Parameter System Identification

Optimal Measurement Methods for Distributed Parameter System Identification PDF Author: Dariusz Ucinski
Publisher: CRC Press
ISBN: 0203026780
Category : Mathematics
Languages : en
Pages : 390

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Book Description
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.

Distributed Parameter Control Systems

Distributed Parameter Control Systems PDF Author: Spyros G. Tzafestas
Publisher: Elsevier
ISBN: 148314738X
Category : Technology & Engineering
Languages : en
Pages : 526

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Book Description
Distributed Parameter Control Systems: Theory and Application is a two-part book consisting of 10 theoretical and five application-oriented chapters contributed by well-known workers in the distributed-parameter systems. The book covers topics of distributed parameter control systems in the areas of simulation, identification, state estimation, stability, control (optimal, stochastic, and coordinated), numerical approximation methods, optimal sensor, and actuator positioning. Five applications works include chemical reactors, heat exchangers, petroleum reservoirs/aquifers, and nuclear reactors. The text will be a useful reference for both graduate students and professional researchers working in the field.

A Practical Guide to Geometric Regulation for Distributed Parameter Systems

A Practical Guide to Geometric Regulation for Distributed Parameter Systems PDF Author: Eugenio Aulisa
Publisher: CRC Press
ISBN: 1482240149
Category : Mathematics
Languages : en
Pages : 292

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Book Description
A Practical Guide to Geometric Regulation for Distributed Parameter Systems provides an introduction to geometric control design methodologies for asymptotic tracking and disturbance rejection of infinite-dimensional systems. The book also introduces several new control algorithms inspired by geometric invariance and asymptotic attraction for a wid

Dynamics and Control of Distributed Systems

Dynamics and Control of Distributed Systems PDF Author: H. S. Tzou
Publisher: Cambridge University Press
ISBN: 0521033748
Category : Science
Languages : en
Pages : 0

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Book Description
Describes progress in an active area of research across a broad range of engineering disciplines.

Exact and Approximate Controllability for Distributed Parameter Systems

Exact and Approximate Controllability for Distributed Parameter Systems PDF Author: Roland Glowinski
Publisher:
ISBN: 9781107096073
Category : MATHEMATICS
Languages : en
Pages : 472

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Book Description
A thorough mathematical analysis of controllability problems with a detailed investigation of methods for solving them numerically.

Numerical Simulation of Distributed Parameter Processes

Numerical Simulation of Distributed Parameter Processes PDF Author: Tiberiu Colosi
Publisher: Springer Science & Business Media
ISBN: 3319000144
Category : Technology & Engineering
Languages : en
Pages : 351

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Book Description
The present monograph defines, interprets and uses the matrix of partial derivatives of the state vector with applications for the study of some common categories of engineering. The book covers broad categories of processes that are formed by systems of partial derivative equations (PDEs), including systems of ordinary differential equations (ODEs). The work includes numerous applications specific to Systems Theory based on Mpdx, such as parallel, serial as well as feed-back connections for the processes defined by PDEs. For similar, more complex processes based on Mpdx with PDEs and ODEs as components, we have developed control schemes with PID effects for the propagation phenomena, in continuous media (spaces) or discontinuous ones (chemistry, power system, thermo-energetic) or in electro-mechanics (railway – traction) and so on. The monograph has a purely engineering focus and is intended for a target audience working in extremely diverse fields of application (propagation phenomena, diffusion, hydrodynamics, electromechanics) in which the use of PDEs and ODEs is justified.

Optimal Control of Distributed Parameter Systems

Optimal Control of Distributed Parameter Systems PDF Author: Nasir Uddin Ahmed
Publisher: New York : North Holland
ISBN:
Category : Science
Languages : en
Pages : 456

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Book Description


Port-Hamiltonian Systems Theory

Port-Hamiltonian Systems Theory PDF Author: Schaft Van Der
Publisher:
ISBN: 9781601987860
Category : Technology & Engineering
Languages : en
Pages : 230

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Book Description
Port-Hamiltonian Systems Theory: An Introductory Overview provides a concise and easily accessible description of the foundations underpinning the subject and emphasizes novel developments in the field, which will be of interest to a broad range of researchers.