Author: Kapriel Varujan Krikorian
Publisher:
ISBN:
Category : Delay lines
Languages : en
Pages : 192

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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1368

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Author: El-Kebir Boukas
Publisher: Springer Science & Business Media
ISBN: 1461200776
Category : Mathematics
Languages : en
Pages : 429

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Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear stochastic systems, which makes their con trol in general a hard problem. Currently, there is no successful design method for this class of systems in the literature. One common alterna tive consists of linearizing the nonlinear dynamical stochastic system in the neighborhood of an operating point and then using the techniques for linear systems to design the controller. The resulting model is in general an approximation of the real behavior of a dynamical system. The inclusion of the uncertainties in the model is therefore necessary and will certainly improve the performance of the dynamical system we want to control. The control of uncertain systems has attracted a lot of researchers from the control community. This topic has in fact dominated the research effort of the control community during the last two decades, and many contributions have been reported in the literature. Some practical dynamical systems have time delay in their dynamics, which makes their control a complicated task even in the deterministic case. Recently, the class ofuncertain dynamical deterministic systems with time delay has attracted some researchers, and some interesting results have been reported in both deterministic and stochastic cases. But wecan't claim that the control problem ofthis class ofsystems is completely solved; more work must be done for this class of systems.

Author: C.T. Leonides
Publisher: Elsevier
ISBN: 0323150055
Category : Technology & Engineering
Languages : en
Pages : 446

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Control and Dynamic Systems, Volume 18: Advances in Theory and Applications provides the techniques for the analysis and synthesis of large-scale complex systems. This book begins with a comprehensive treatment of component cost analysis of large-scale systems, including cost balancing methods for system design, failure mode analysis, model reduction techniques, and design of lower-order controllers that meet on-line controller software limitations. The problem of reduced-order modeling and filtering, linear multivariable systems synthesis techniques, and digital control of dynamical systems are deliberated in the next chapters. This publication concludes with the ship propulsion dynamics simulation and analysis and synthesis of complex distributed parameter systems. This volume is beneficial to students and researchers conducting work on advances in large-scale complex systems.

Author: Zigang Pan
Publisher:
ISBN:
Category :
Languages : en
Pages : 384

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The class of uncertainties that may be present in dynamical systems includes, but is not limited to, unknown disturbance inputs, unpredictable abrupt structural changes, unknown parameters, and unmodeled fast dynamics. A number of different stochastic and deterministic models that incorporate these uncertainties have been proposed in the literature, and these have led to different robust control and filtering problem formulations, methodologies, and resulting robust designs. This thesis presents novel formulations of three different classes of problems featuring the types of uncertainties described above, studies them from the points of view of model reduction and robust controller design, and develops new theory and methodology for their solutions. The common thread that runs through these three classes of problems (which involve both deterministic and stochastic systems) is the use of "singular perturbations," either as a modeling tool or as a computational tool. The reason for adopting the singular perturbations framework is threefold. First, we must study robustness with respect to fast unmodeled dynamics of different control or filtering designs. The second reason is to incorporate appropriate knowledge on fast dynamics into the design, without using the full-order system, so as to improve performance and to alleviate the numerical ill-conditioning associated with the computation of the full-order solution. Third, we must obtain "reliable" reduced-order models for large-scale systems that exhibit two or multi time-scale behavior, such that the solution to the reduced-order model can achieve a desired performance for the full-order system. The thesis can naturally be divided into three parts. In the first part, the problem of optimal control and model reduction for singularly perturbed linear Gaussian systems under an exponential-of-quadratic performance index is addressed, for which a complete solution is obtained that achieves all three objectives stated above. In the second part, which comprises two chapters, solutions to the problem of model reduction for large-scale jump linear systems are presented. The original system is again assumed to exhibit a two-time-scale behavior, and two types of time-scale separations are studied in detail in two separate chapters. Finally, in the last part of the thesis, which also comprises two chapters, solutions to problems of robust parameter identification and robust adaptive control are presented. For these classes of problems, the original system may not exhibit a two-time-scale behavior at the outset, but time-scale decomposition arises naturally due to singularity in the measurement scheme. A singular perturbation analysis is then employed to construct reduced-order identifiers and controllers and to prove their optimality. Again, the three objectives are achieved for the closed-loop system. The thesis ends with some concluding remarks, delineation of its main contributions, and some discussions on future extensions of these results.

Author: Petar Kokotovic
Publisher: SIAM
ISBN: 0898714443
Category : Mathematics
Languages : en
Pages : 379

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Book Description
This SIAM Classics edition of the 1986 book provides the theoretical foundation for representative control applications.

Author: Minh-Tuan Nguyen
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages : 380

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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 904

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Author: Robert E. Jr. O'Malley
Publisher: Elsevier
ISBN: 0323162274
Category : Mathematics
Languages : en
Pages : 215

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Book Description
Introduction to Singular Perturbations provides an overview of the fundamental techniques for obtaining asymptomatic solutions to boundary value problems. This text explores singular perturbation techniques, which are among the basic tools of several applied scientists. This book is organized into eight chapters, wherein Chapter 1 discusses the method of matched asymptomatic expansions, which has been frequently applied to several physical problems involving singular perturbations. Chapter 2 considers the nonlinear initial value problem to illustrate the regular perturbation method, and Chapter 3 explains how to construct asymptotic solutions for general linear equations. Chapter 4 discusses scalar equations and nonlinear system, whereas Chapters 5 and 6 explain the contrasts for initial value problems where the outer expansion cannot be determined without obtaining the initial values of the boundary layer correction. Chapters 7 and 8 deal with boundary value problem that arises in the study of adiabatic tubular chemical flow reactors with axial diffusion. This monograph is a valuable resource for applied mathematicians, engineers, researchers, students, and readers whose interests span a variety of fields.

Author: Elena Shchepakina
Publisher: Springer
ISBN: 3319095706
Category : Mathematics
Languages : en
Pages : 224

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Book Description
These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level. Singularly perturbed systems appear naturally in the modelling of many processes that are characterized by slow and fast motions simultaneously, for example, in fluid dynamics and nonlinear mechanics. This book’s approach consists in separating out the slow motions of the system under investigation. The result is a reduced differential system of lesser order. However, it inherits the essential elements of the qualitative behaviour of the original system. Singular Perturbations differs from other literature on the subject due to its methods and wide range of applications. It is a valuable reference for specialists in the areas of applied mathematics, engineering, physics, biology, as well as advanced undergraduates for the earlier parts of the book, and graduate students for the later chapters.