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Author: Boris M. Miller Publisher: Springer Science & Business Media ISBN: 1461500958 Category : Mathematics Languages : en Pages : 454
Book Description
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.
Author: Boris M. Miller Publisher: Springer Science & Business Media ISBN: 1461500958 Category : Mathematics Languages : en Pages : 454
Book Description
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.
Author: Tao Yang Publisher: ISBN: Category : Mathematics Languages : en Pages : 302
Book Description
An impulsive control system contains a plant (usually a continuous-time dynamical system) and a control law. In the past ten years, many developments have occurred regarding control systems with impulsive effects or control systems via impulsive control laws. Impulsive effects can take place in plant dynamics or be introduced through control laws. This book studies the two main types of control systems. First are the controlling impulsive systems, in which the plant itself is formed by impulsive differential equations, so the control law will be either continuous or impulsive. In engineering, the impulsive control serves as a crucial method for making nanodevices. The second control systems are impulsively controlled dynamical systems, where the plant has no impulsive effects, though the control laws introduce impulsive effects to the plant's state variables. The engineering application here is within non-linear communications. This book offers mathematicians real applications of equations, engineers a toolbox and math theory for control problems, and physicists a new framework of modelling impulsive effects.
Author: Xinzhi Liu Publisher: Springer ISBN: 3030062120 Category : Mathematics Languages : en Pages : 321
Book Description
This monograph discusses the issues of stability and the control of impulsive systems on hybrid time domains, with systems presented on discrete-time domains, continuous-time domains, and hybrid-time domains (time scales). Research on impulsive systems has recently attracted increased interest around the globe, and significant progress has been made in the theory and application of these systems. This book introduces recent developments in impulsive systems and fundamentals of various types of differential and difference equations. It also covers studies in stability related to time delays and other various control applications on the different impulsive systems. In addition to the analyses presented on dynamical systems that are with or without delays or impulses, this book concludes with possible future directions pertaining to this research.
Author: N. U. Ahmed Publisher: Springer Nature ISBN: 3030821390 Category : Mathematics Languages : en Pages : 328
Book Description
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.
Author: Yury V. Orlov Publisher: Springer Science & Business Media ISBN: 1848009844 Category : Technology & Engineering Languages : en Pages : 333
Book Description
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.
Author: Julio B. Clempner Publisher: Springer ISBN: 3319624644 Category : Technology & Engineering Languages : en Pages : 538
Book Description
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.
Author: Alexander B. Kurzhanski Publisher: Springer ISBN: 1447174372 Category : Technology & Engineering Languages : en Pages : 275
Book Description
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.
Author: Alexander B. Kurzhanski Publisher: Springer ISBN: 331910277X Category : Mathematics Languages : en Pages : 445
Book Description
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.
Author: Boris M. Miller
Author: Boris M. Miller
Author: 
Author: 
Author: Tao Yang
Author: Xinzhi Liu
Author: N. U. Ahmed
Author: Yury V. Orlov
Author: Julio B. Clempner
Author: Alexander B. Kurzhanski
Author: Alexander B. Kurzhanski