Two Models for the Optimal Control of Dynamic Systems PDF Download
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Author: Clifford L. Danbe
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages : 184
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Book Description
Author: Clifford L. Danbe
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages : 184
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Book Description
Author: Ilya Grigorenko
Publisher: World Scientific
ISBN: 9812566600
Category : Mathematics
Languages : en
Pages : 216
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Book Description
This important book reviews applications of optimization and optimal control theory to modern problems in physics, nano-science and finance. The theory presented here can be efficiently applied to various problems, such as the determination of the optimal shape of a laser pulse to induce certain excitations in quantum systems, the optimal design of nanostructured materials and devices, or the control of chaotic systems and minimization of the forecast error for a given forecasting model (for example, artificial neural networks). Starting from a brief review of the history of variational calculus, the book discusses optimal control theory and global optimization using modern numerical techniques. Key elements of chaos theory and basics of fractional derivatives, which are useful in control and forecast of complex dynamical systems, are presented. The coverage includes several interdisciplinary problems to demonstrate the efficiency of the presented algorithms, and different methods of forecasting complex dynamics are discussed.
Author: Yuanguo Zhu
Publisher: Springer
ISBN: 9811321345
Category : Technology & Engineering
Languages : en
Pages : 211
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Book Description
This book introduces the theory and applications of uncertain optimal control, and establishes two types of models including expected value uncertain optimal control and optimistic value uncertain optimal control. These models, which have continuous-time forms and discrete-time forms, make use of dynamic programming. The uncertain optimal control theory relates to equations of optimality, uncertain bang-bang optimal control, optimal control with switched uncertain system, and optimal control for uncertain system with time-delay. Uncertain optimal control has applications in portfolio selection, engineering, and games. The book is a useful resource for researchers, engineers, and students in the fields of mathematics, cybernetics, operations research, industrial engineering, artificial intelligence, economics, and management science.
Author: Michael M. Connors
Publisher:
ISBN:
Category : Calculus of variations
Languages : en
Pages : 138
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Book Description
Author: SANDRO. SALSA
Publisher:
ISBN: 9788885486539
Category : MATHEMATICS
Languages : en
Pages :
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Book Description
Author: Victoria Miroshnik
Publisher: Springer
ISBN: 1137508957
Category : Business & Economics
Languages : en
Pages : 212
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Book Description
Dynamic Systems Modelling and Optimal Control explores the applications of oil field development, energy system modelling, resource modelling, time varying control of dynamic system of national economy, and investment planning.
Author: C.T. Leonides
Publisher: Academic Press
ISBN: 0323162568
Category : Technology & Engineering
Languages : en
Pages : 335
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Book Description
Advances in Control Mechanics is based on a National Science Foundation-Sponsored Workshop on Control Mechanics, i.e., control system development using analytical methods of mechanics and active control of mechanical systems. Publication of the presentations at this workshop in this Academic Press series has made it possible to expand them into a format which will facilitate the study and utilization of their significant results by working professionals and research workers on the international scene. This book comprises 13 chapters, with the first focusing on recursive Lyapunov functions, particularly their properties and linear systems. Succeeding chapters tackle topics such as the Lyapunov functional approach to uncertain systems governed by functional differential equations with finite time-lag; and stabilizing discrete control laws for Hamiltonian systems. Other chapters cover component model reduction in canonical correlation coordinates; controlling a flexible plate to mimic a rigid one; the modal stability of imperfect cyclic systems; and simultaneous stabilization via low order controllers. The remaining chapters discuss the use of Liapunov techniques for collision-avoidance of robot arms; avoidance control of a two-point mechanical system; coordination controllers for multi-arm manipulators; MRAC techniques with application to robot manipulators; optimal preview controllers based upon explicit trajectory models; and analysis of a robot dragline for mining. This book will be of interest to practitioners in the fields of engineering and aeronautics.
Author: Richard A Leondes
Publisher: Newnes
ISBN: 0323139515
Category : Science
Languages : en
Pages : 423
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Book Description
Control and Dynamic Systems: Advances in Theory and Applications, Volume 36 reviews advances in theory and applications of large scale control and dynamic systems. Contributors focus on production control and the determination of optimal production rates, along with active control systems, uncertainty in control system design, and methods for analyzing multistage commodity markets. This volume is organized into eight chapters and begins with an introduction to multiobjective decision-tree analysis and its significance in applied situations, with two substantive examples. It then shifts to important techniques for the determination of robust economic policies, methods used in the analysis of multistage commodity markets, and a computationally effective algorithm for the determination of the optimal production rate. This book also describes many highly effective techniques for near optimal and robust model truncation. Robust adaptive identification and control algorithms for disturbances and unmodeled system dynamics are given consideration. The final chapter provides examples of the applied significance of the techniques presented in this book, including such large scale systems areas as aerospace, defense, chemical, environmental, and infrastructural industries. This book will be of interest to students and researchers in engineering and computer science.
Author: N. U. Ahmed
Publisher: Springer Nature
ISBN: 3030821390
Category : Mathematics
Languages : en
Pages : 328
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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: Viorel Barbu
Publisher: Springer Science & Business Media
ISBN: 9783764327880
Category : Mathematics
Languages : en
Pages : 376
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Book Description
Variational methods in mechanics and physical models.- Fluid flows in dielectric porous media.- The impact of a jet with two fluids on a porous wall.- Critical point methods in nonlinear eigenvalue problems with discontinuities.- Maximum principles for elliptic systems.- Exponential dichotomy of evolution operators in Banach spaces.- Asymptotic properties of solutions to evolution equations.- On some nonlinear elastic waves biperiodical or almost periodical in mechanics and extensions hyperbolic nonlinear partial differential equations.- The controllability of infinite dimensional and distributed parameter systems.- Singularities in boundary value problems and exact controllability of hyperbolic systems.- Exact controllability of a shallow shell model.- Inverse problem: Identification of a melting front in the 2D case.- Micro-local approach to the control for the plates equation.- Bounded solutions for controlled hyperbolic systems.- Controllability and turbulence.- The H? control problem.- The H? boundary control with state feedback; the hyperbolic case.- Remarks on the theory of robust control.- The dynamic programming method.- Optimality and characteristics of Hamilton-Jacobi-Bellman equations.- Verification theorems of dynamic programming type in optimal control.- Isaacs' equations for value-functions of differential games.- Optimal control for robot manipulators.- Control theory and environmental problems: Slow fast models for management of renewable ressources.- On the Riccati equations of stochastic control.- Optimal control of nonlinear partial differential equations.- A boundary Pontryagin's principle for the optimal control of state-constrained elliptic systems.- Controllability properties for elliptic systems, the fictitious domain method and optimal shape design problems.- Optimal control for elliptic equation and applications.- Inverse problems for variational inequalities.- The variation of the drag with respect to the domain in Navier-Stokes flow, .- Mathematical programming and nonsmooth optimization.- Scalar minimax properties in vectorial optimization.- Least-norm regularization for weak two-level optimization problems.- Continuity of the value function with respect to the set of constraints.- On integral inequalities involving logconcave functions.- Numerical solution of free boundary problems in solids mechanics.- Authors' index
