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Dynamics and Control of Trajectory Tubes

Dynamics and Control of Trajectory Tubes
Author: Alexander B. Kurzhanski
Publisher: Springer
Total Pages: 457
Release: 2014-10-27
Genre: Mathematics
ISBN: 331910277X

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This monograph presents theoretical methods involving the Hamilton–Jacobi–Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. Guaranteed state estimation, output feedback control, and hybrid dynamics are also discussed. Although the focus is on systems with linear structure, the authors indicate how to apply each approach to nonlinear and nonconvex systems. The main theoretical results lead to computational schemes based on extensions of ellipsoidal calculus that provide complete solutions to the problems. These computational schemes in turn yield software tools that can be applied effectively to high-dimensional systems. Ellipsoidal Techniques for Problems of Dynamics and Control: Theory and Computation will interest graduate and senior undergraduate students, as well as researchers and practitioners interested in control theory, its applications, and its computational realizations.


Advances in Nonlinear Dynamics and Control: A Report from Russia

Advances in Nonlinear Dynamics and Control: A Report from Russia
Author: Alexander B. Kurzhanski
Publisher: Springer Science & Business Media
Total Pages: 286
Release: 2012-12-06
Genre: Science
ISBN: 146120349X

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The purpose of this volume is to present a coherent collection of overviews of recent Russian research in Control Theory and Nonlinear Dynamics written by active investigators in these fields. It is needless to say that the contribution of the scientists of the former Soviet Union to the development of nonlinear dynamics and control was significant and that their scientific schools and research community have highly evolved points of view, accents and depth which complemented, enhanced and sometimes inspired research directions in the West. With scientific exchange strongly increasing, there is still a consider able number of Eastern publications unknown to the Western community. We have therefore encouraged the authors to produce extended bibliogra phies in their papers. The particular emphasis of this volume is on the treatment of uncer tain systems in a deterministic setting-a field highly developed in the former Soviet Union and actively investigated in the West. The topics are concentrated around the three main branches of un certain dynamics which are the theory of Differential Games, the set membership approach to Evolution, Estimation and Control and the the ory of Robust Stabilization. The application of these techniques to non linear systems as well as the global optimization of the latter are also among the issues treated in this volume.


Advances in Nonlinear Dynamics and Control

Advances in Nonlinear Dynamics and Control
Author: A. B. Kurzhanskiĭ
Publisher: Birkhauser
Total Pages: 276
Release: 1993-01-01
Genre: Control theory
ISBN: 9783764337360

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Inverse Dynamics and Trajectory Tracking

Inverse Dynamics and Trajectory Tracking
Author: Stefan Reichl
Publisher: Sudwestdeutscher Verlag Fur Hochschulschriften AG
Total Pages: 248
Release: 2011
Genre:
ISBN: 9783838121697

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Inverse dynamics problems arise in several mechanical systems. The aim is to calculate the inputs of a system in order that the outputs are identical to predefined or measured target signals. The motivation for inverse methods is related to practical applications in robotics, cranes or test rigs in the automotive and agricultural industry. The book considers four mathematical methods regarding to inverse problems in underactuated multibody systems. The first method under consideration is called virtual iteration. The algorithm is suitable for large multibody systems and finite element models, which are nearly linear. The second approach formulates the equations of motion as differential-algebraic equations and introduces so called control or servo constraints. The inverse problem can also be formulated as an optimal control problem. The basis is a cost functional, which includes the system outputs and the targets. The fourth method is a flatness-based trajectory tracking control. The considered methods are applied to academic and industrial examples.


IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty

IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty
Author: H.Y. Hu
Publisher: Springer Science & Business Media
Total Pages: 421
Release: 2007-07-26
Genre: Science
ISBN: 1402063318

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This is a state-of-the-art treatise on the problems of both nonlinearity and uncertainty in the dynamics and control of engineering systems. The concept of dynamics and control implies the combination of dynamic analysis and control synthesis. It is essential to gain insight into the dynamics of a nonlinear system with uncertainty if any new control strategy is designed to utilize nonlinearity.


13th Chaotic Modeling and Simulation International Conference

13th Chaotic Modeling and Simulation International Conference
Author: Christos H. Skiadas
Publisher: Springer Nature
Total Pages: 1080
Release: 2021-12-14
Genre: Mathematics
ISBN: 3030707954

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Gathering the proceedings of the 13th CHAOS2020 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.


Bounding Approaches to System Identification

Bounding Approaches to System Identification
Author: M. Milanese
Publisher: Springer Science & Business Media
Total Pages: 569
Release: 2013-06-29
Genre: Science
ISBN: 1475795459

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In response to the growing interest in bounding error approaches, the editors of this volume offer the first collection of papers to describe advances in techniques and applications of bounding of the parameters, or state variables, of uncertain dynamical systems. Contributors explore the application of the bounding approach as an alternative to the probabilistic analysis of such systems, relating its importance to robust control-system design.


Large-Scale Scientific Computing

Large-Scale Scientific Computing
Author: Ivan Lirkov
Publisher: Springer Science & Business Media
Total Pages: 701
Release: 2006-02-14
Genre: Computers
ISBN: 3540319948

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This book constitutes the thoroughly refereed post-proceedings of the 5th International Conference on Large-Scale Scientific Computations, LSSC 2005, held in Sozopol, Bulgaria in June 2005. The 75 revised full papers presented together with five invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections.