Impulsive Control in Continuous and Discrete Continuous Systems

Impulsive Control in Continuous and Discrete Continuous Systems

This is a new branch of the Optimal Control Theory, which is tightly connected to the Theory of Hybrid Systems.

Author: Boris M. Miller

Publisher: Springer Science & Business Media

ISBN: 9781461500957

Category: Mathematics

Page: 447

View: 115

Impulsive Control in Continuous and Discrete-Continuous Systems is an up-to-date introduction to the theory of impulsive control in nonlinear systems. This is a new branch of the Optimal Control Theory, which is tightly connected to the Theory of Hybrid Systems. The text introduces the reader to the interesting area of optimal control problems with discontinuous solutions, discussing the application of a new and effective method of discontinuous time-transformation. With a large number of examples, illustrations, and applied problems arising in the area of observation control, this book is excellent as a textbook or reference for a senior or graduate-level course on the subject, as well as a reference for researchers in related fields.
Categories: Mathematics

Discontinuous Systems

Discontinuous Systems

Miller BM (1996) The generalized solutions of nonlinear optimization problems with impulse control. SIAM J Contr Optimiz 34:1420–1440 149. Miller B, Rubinovich E (2003) Impulsive control in continuous and discrete-continuous systems.

Author: Yury V. Orlov

Publisher: Springer Science & Business Media

ISBN: 9781848009844

Category: Technology & Engineering

Page: 320

View: 713

Discontinuous Systems develops nonsmooth stability analysis and discontinuous control synthesis based on novel modeling of discontinuous dynamic systems, operating under uncertain conditions. While being primarily a research monograph devoted to the theory of discontinuous dynamic systems, no background in discontinuous systems is required; such systems are introduced in the book at the appropriate conceptual level. Being developed for discontinuous systems, the theory is successfully applied to their subclasses – variable-structure and impulsive systems – as well as to finite- and infinite-dimensional systems such as distributed-parameter and time-delay systems. The presentation concentrates on algorithms rather than on technical implementation although theoretical results are illustrated by electromechanical applications. These specific applications complete the book and, together with the introductory theoretical constituents bring some elements of the tutorial to the text.
Categories: Technology & Engineering

Optimal Control of Dynamic Systems Driven by Vector Measures

Optimal Control of Dynamic Systems Driven by Vector Measures

B. Miller, E.Y. Rubinovich, Impulsive Control in Continuous and Discrete-Continuous Systems (Springer, Berlin, 2003) 84. M. Motta, Viscosity solutions of HJB equations with unbounded data and characteristic points. Appl. Math. Optim.

Author: N. U. Ahmed

Publisher: Springer Nature

ISBN: 9783030821395

Category: Mathematics

Page: 320

View: 983

This book is devoted to the development of optimal control theory for finite dimensional systems governed by deterministic and stochastic differential equations driven by vector measures. The book deals with a broad class of controls, including regular controls (vector-valued measurable functions), relaxed controls (measure-valued functions) and controls determined by vector measures, where both fully and partially observed control problems are considered. In the past few decades, there have been remarkable advances in the field of systems and control theory thanks to the unprecedented interaction between mathematics and the physical and engineering sciences. Recently, optimal control theory for dynamic systems driven by vector measures has attracted increasing interest. This book presents this theory for dynamic systems governed by both ordinary and stochastic differential equations, including extensive results on the existence of optimal controls and necessary conditions for optimality. Computational algorithms are developed based on the optimality conditions, with numerical results presented to demonstrate the applicability of the theoretical results developed in the book. This book will be of interest to researchers in optimal control or applied functional analysis interested in applications of vector measures to control theory, stochastic systems driven by vector measures, and related topics. In particular, this self-contained account can be a starting point for further advances in the theory and applications of dynamic systems driven and controlled by vector measures.
Categories: Mathematics

Dynamics and Control of Trajectory Tubes

Dynamics and Control of Trajectory Tubes

Lygeros, J.: On the relation of reachability to minimum cost optimal control. ... inclusions driven by discrete measures. In: Hybrid Systems: Computation and Control. ... Impulsive Control in Continuous and Discrete-Continuous Systems.

Author: Alexander B. Kurzhanski

Publisher: Springer

ISBN: 9783319102771

Category: Mathematics

Page: 445

View: 718

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.
Categories: Mathematics

New Perspectives and Applications of Modern Control Theory

New Perspectives and Applications of Modern Control Theory

Glumineau, A., Shtessel, Y., Plestan, F.: Impulsive-sliding mode adaptive control of second order system. IFAC Proc. Vol. ... B.M., Rubinovich, E.Y.: Impulsive Control in Continuous and Discrete-Continuous Systems.

Author: Julio B. Clempner

Publisher: Springer

ISBN: 9783319624648

Category: Technology & Engineering

Page: 538

View: 445

This edited monograph contains research contributions on a wide range of topics such as stochastic control systems, adaptive control, sliding mode control and parameter identification methods. The book also covers applications of robust and adaptice control to chemical and biotechnological systems. This collection of papers commemorates the 70th birthday of Dr. Alexander S. Poznyak.
Categories: Technology & Engineering

Advances in Aerospace Guidance Navigation and Control

Advances in Aerospace Guidance  Navigation and Control

Yang, T.: Impulsive control theory. LNCIS, vol. 272. Springer, Heidelberg (2001) 2. Miller, B., Rubinovitch, E.: Impulsive Control in Continuous and Discrete-Continuous Systems. Kluwer Academic Publishers, Amsterdam (2002) 3.

Author: Qiping Chu

Publisher: Springer Science & Business Media

ISBN: 9783642382536

Category: Technology & Engineering

Page: 782

View: 867

Following the successful 1st CEAS (Council of European Aerospace Societies) Specialist Conference on Guidance, Navigation and Control (CEAS EuroGNC) held in Munich, Germany in 2011, Delft University of Technology happily accepted the invitation of organizing the 2nd CEAS EuroGNC in Delft, The Netherlands in 2013. The goal of the conference is to promote new advances in aerospace GNC theory and technologies for enhancing safety, survivability, efficiency, performance, autonomy and intelligence of aerospace systems using on-board sensing, computing and systems. A great push for new developments in GNC are the ever higher safety and sustainability requirements in aviation. Impressive progress was made in new research fields such as sensor and actuator fault detection and diagnosis, reconfigurable and fault tolerant flight control, online safe flight envelop prediction and protection, online global aerodynamic model identification, online global optimization and flight upset recovery. All of these challenges depend on new online solutions from on-board computing systems. Scientists and engineers in GNC have been developing model based, sensor based as well as knowledge based approaches aiming for highly robust, adaptive, nonlinear, intelligent and autonomous GNC systems. Although the papers presented at the conference and selected in this book could not possibly cover all of the present challenges in the GNC field, many of them have indeed been addressed and a wealth of new ideas, solutions and results were proposed and presented. For the 2nd CEAS Specialist Conference on Guidance, Navigation and Control the International Program Committee conducted a formal review process. Each paper was reviewed in compliance with good journal practice by at least two independent and anonymous reviewers. The papers published in this book were selected from the conference proceedings based on the results and recommendations from the reviewers.
Categories: Technology & Engineering

Dynamic Programming for Impulse Feedback and Fast Controls

Dynamic Programming for Impulse Feedback and Fast Controls

Wiley, New York (1967) Leitmann, G.: The Calculus of Variations and Optimal Control. An Introduction. Plenum Press, New York (1981) Miller, B.M., Rubinovich, E.Ya.: Impulsive Control in Continuous and Discrete-Continuous Systems.

Author: Alexander B. Kurzhanski

Publisher: Springer

ISBN: 9781447174370

Category: Technology & Engineering

Page: 275

View: 702

Dynamic Programming for Impulse Feedback and Fast Controls offers a description of feedback control in the class of impulsive inputs. This book deals with the problem of closed-loop impulse control based on generalization of dynamic programming techniques in the form of variational inequalities of the Hamilton–Jacobi–Bellman type. It provides exercises and examples in relation to software, such as techniques for regularization of ill-posed problems. It also gives an introduction to applications such as hybrid dynamics, control in arbitrary small time, and discontinuous trajectories. This book walks the readers through: the design and description of feedback solutions for impulse controls; the explanation of impulses of higher order that are derivatives of delta functions; the description of their physically realizable approximations - the fast controls and their approximations; the treatment of uncertainty in impulse control and the applications of impulse feedback. Of interest to both academics and graduate students in the field of control theory and applications, the book also protects users from common errors , such as inappropriate solution attempts, by indicating Hamiltonian techniques for hybrid systems with resets.
Categories: Technology & Engineering

Advances in Applied Mathematics and Approximation Theory

Advances in Applied Mathematics and Approximation Theory

Rubinovich, Impulsive Control in Continuous and Discrete-Continuous Systems, Kluwer Academic, Plenum Publishers, New York, 2003. 20. A.I. Panasyuk, Equations of attainable set dynamics. Part 1: Integral funnel equations, J. Optimiz.

Author: George A. Anastassiou

Publisher: Springer Science & Business Media

ISBN: 9781461463931

Category: Mathematics

Page: 486

View: 365

Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. The collection will be a useful resource for researchers in applied mathematics, engineering and statistics.​
Categories: Mathematics

Control of Distributed Parameter Systems 1982

Control of Distributed Parameter Systems 1982

In this paper, the relation between the positivity of continuous systems and the positivity of associated discrete systems is examined. Application to impulse control of flexible structure is derived and simulations illustrate the ...

Author: Jean-Pierre Babary

Publisher: Elsevier

ISBN: 9781483153230

Category: Technology & Engineering

Page: 660

View: 810

Control of Distributed Parameter Systems 1982 covers the proceeding of the Third International Federation of Automatic Control (IFAC) Symposium on Control of Distributed Parameter Systems. The book reviews papers that tackle issues concerning the control of distributed parameter systems, such as modeling, identification, estimation, stabilization, optimization, and energy system. The topics that the book tackles include notes on optimal and estimation result of nonlinear systems; approximation of the parameter identification problem in distributed parameters systems; and optimal control of a punctually located heat source. This text also encompasses the stabilization of nonlinear parabolic equations and the decoupling approach to the control of large spaceborne antenna systems. Stability of Hilbert space contraction semigroups and the tracking problem in the fractional representation approach are also discussed. This book will be of great interest to researchers and professionals whose work concerns automated control systems.
Categories: Technology & Engineering