Download or read book Modal Analysis of a Distributed Parameter System for Control at an Unstable Steady State written by Alfred M. Loeb and published by . This book was released on 1972 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report describes the results of a detailed investigation of the dynamics of a distributed parameter system exhibiting three steady states, one of which is open loop unstable. The specific model selected for this study was the adiabatic tubular chemical reactor with axial flow mixing. The techniques developed for both analysis and simulation are directly applicable to a variety of problems in propulsion machinery systems control, particularly where the mathematical models involve distributed parameters. In the study described in the report a form of modal analysis is employed to investigate the stability of the steady states and to devise a method for operating the reactor at the unstable state under feedback control. The results of this investigation, which are verified by a thorough digital computer simulation of the nonlinear system, clearly show that, for the conditions investigated, the unstable steady state may be stabilized and that operation at the unstable state is possible. Furthermore, it is shown that the unstable state can be attained from reasonable start-up conditions. (Author).
Download or read book Control and Estimation in Distributed Parameter Systems written by H. T. Banks and published by SIAM. This book was released on 1992-01-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and lucid text that relates frequency domain techniques to state-space or time domain approaches for infinite-dimensional systems.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stabilization of Distributed Parameter Systems Design Methods and Applications written by Grigory Sklyar and published by Springer Nature. This book was released on 2021-03-01 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent results and envisages new solutions of the stabilization problem for infinite-dimensional control systems. Its content is based on the extended versions of presentations at the Thematic Minisymposium “Stabilization of Distributed Parameter Systems: Design Methods and Applications” at ICIAM 2019, held in Valencia from 15 to 19 July 2019. This volume aims at bringing together contributions on stabilizing control design for different classes of dynamical systems described by partial differential equations, functional-differential equations, delay equations, and dynamical systems in abstract spaces. This includes new results in the theory of nonlinear semigroups, port-Hamiltonian systems, turnpike phenomenon, and further developments of Lyapunov's direct method. The scope of the book also covers applications of these methods to mathematical models in continuum mechanics and chemical engineering. It is addressed to readers interested in control theory, differential equations, and dynamical systems.
Download or read book Identification and Control of Distributed Parameter Systems by Means of the Singular Value Decomposition written by David Henry Gay and published by . This book was released on 1989 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Distributed Parameter Control Systems written by Spyros G. Tzafestas and published by Elsevier. This book was released on 2013-10-22 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Research Directions in Distributed Parameter Systems written by Ralph C. Smith and published by SIAM. This book was released on 2003-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the plenary speakers for the Conference on Future Directions in Distributed Parameter Systems (October 2000), the volume addresses the state of the art, open questions, and important research directions in applications modeled by partial differential equations and delay systems. Topics include electromagnetic theory for dielectric and conductive materials, flow control, cardiovascular and respiratory models, homogenization and systems theory, optimal and geometric control, reduced-order models for large-scale systems, smart materials, and nondestructive evaluation and structural health monitoring for systems, including nuclear power plants.
Download or read book H Control for Distributed Parameter Systems A State Space Approach written by Bert van Keulen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements written by Alexander L. Zuyev and published by Springer. This book was released on 2014-11-08 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a rigorous treatment of problems related to partial asymptotic stability and controllability for models of flexible structures described by coupled nonlinear ordinary and partial differential equations or equations in abstract spaces. The text is self-contained, beginning with some basic results from the theory of continuous semigroups of operators in Banach spaces. The problem of partial asymptotic stability with respect to a continuous functional is then considered for a class of abstract multivalued systems on a metric space. Next, the results of this study are applied to the study of a rotating body with elastic attachments. Professor Zuyev demonstrates that the equilibrium cannot be made strongly asymptotically stable in the general case, motivating consideration of the problem of partial stabilization with respect to the functional that represents “averaged” oscillations. The book’s focus moves on to spillover analysis for infinite-dimensional systems with finite-dimensional controls. It is shown that a family of L2-minimal controls, corresponding to low frequencies, can be used to obtain approximate solutions of the steering problem for the complete system. The book turns from the examination of an abstract class of systems to particular physical examples. Timoshenko beam theory is exploited in studying a mathematical model of a flexible-link manipulator. Finally, a mechanical system consisting of a rigid body with the Kirchhoff plate is considered. Having established that such a system is not controllable in general, sufficient controllability conditions are proposed for the dynamics on an invariant manifold. Academic researchers and graduate students interested in control theory and mechanical engineering will find Partial Stabilization and Control of Distributed-Parameter Systems with Elastic Elements a valuable and authoritative resource for investigations on the subject of partial stabilization.
Download or read book Frequency Domain Techniques for H Control of Distributed Parameter Systems written by Hitay Ozbay and published by SIAM. This book was released on 2018-10-09 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Control of Distributed Parameter Systems 1989 written by M. Amouroux and published by Elsevier. This book was released on 2014-06-28 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Optimal Control of Nonsmooth Distributed Parameter Systems written by Dan Tiba and published by Springer. This book was released on 2006-11-14 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. In order to give the reader a better overview of the domain, several sections deal with topics that do not enter directly into the announced subject: boundary control, delay differential equations. In a subject still actively developing, the methods can be more important than the results and these include: adapted penalization techniques, the singular control systems approach, the variational inequality method, the Ekeland variational principle. Some prerequisites relating to convex analysis, nonlinear operators and partial differential equations are collected in the first chapter or are supplied appropriately in the text. The monograph is intended for graduate students and for researchers interested in this area of mathematics.
Download or read book From Continuous Modelling to Discrete Constrained Optimal Control of Distributed Parameter Systems written by Guilherme Ozorio Cassol and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributed parameter systems (DPS) are systems that have their evolution through time and in space. These systems are present in every type of industrial process, from chemical to electrical applications. Thus, proper modeling and control of DPS are indispensable for the optimization and control of such processes. Due to their spatiotemporal dynamics, these systems are generally represented by partial integro-differential equations (PIDEs), which brings issues with the control and monitoring of such applications. This thesis studies the modeling and control of such systems, specifically the ones modelled by first and second-order hyperbolic PDEs, not relying on the spatial approximation generally applied to deal with the PIDEs. First, an alternative model for transport-reaction processes is analyzed, taking into account the possible inertia present in the transport. Second, the regulator design of a heat exchanger system in the continuous-time setting is developed, ensuring disturbance rejection and proper output tracking. Then, the leap from the continuous to the discrete-time is taken by studying the regulator design for the sediment-filled water canal dynamics. Lastly, the optimal constrained controller is developed in the last chapters, to take into account constraints applied to the system. First, an autothermal reactor operating in an unstable condition is considered. The simulations show the controller performance and proper convergence to the desired steady-state. In the subsequent chapter, the constrained control problem is solved for the alternative model of transport-reaction processes. The difference in the system response of the commonly used model and the proposed model is noticeable. The discrete representation used for the systems in the discrete-time setting does not consider the early spatial approximation generally used when dealing with DPS.
Download or read book Control of Distributed Parameter Systems written by S. P. Banks and published by Elsevier. This book was released on 2014-05-18 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Advances in Distributed Parameter Systems written by Jean Auriol and published by Springer Nature. This book was released on 2022-04-24 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proposed book presents recent breakthroughs for the control of distributed parameter systems and follows on from a workshop devoted to this topic. It introduces new and unified visions of the challenging control problems raised by distributed parameter systems. The book collects contributions written by prominent international experts in the control community, addressing a wide variety of topics. It spans the full range from theoretical research to practical implementation and follows three traverse axes: emerging ideas in terms of control strategies (energy shaping, prediction-based control, numerical control, input saturation), theoretical concepts for interconnected systems (with potential non-linear actuation dynamics), advanced applications (cable-operated elevators, traffic networks), and numerical aspects. Cutting-edge experts in the field contributed in this volume, making it a valuable reference source for control practitioners, graduate students, and scientists researching practical and theoretical solutions to the challenging problems raised by distributed parameter systems.
Download or read book Control and Estimation of Distributed Parameter Systems written by Wolfgang Desch and published by Birkhäuser. This book was released on 2012-12-06 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consisting of 16 refereed original contributions, this volume presents a diversified collection of recent results in control of distributed parameter systems. Topics addressed include - optimal control in fluid mechanics - numerical methods for optimal control of partial differential equations - modeling and control of shells - level set methods - mesh adaptation for parameter estimation problems - shape optimization Advanced graduate students and researchers will find the book an excellent guide to the forefront of control and estimation of distributed parameter systems.
Download or read book Sensors and Controls in the Analysis of Distributed Systems written by Abdelhaq El Jai and published by . This book was released on 1988 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
