2 edition of **Optimal control of distributed bilinear systems.** found in the catalog.

Optimal control of distributed bilinear systems.

Banks, Stephen P.

- 63 Want to read
- 11 Currently reading

Published
**1986** by University, Dept. of Control Engineering in Sheffield .

Written in English

**Edition Notes**

Series | Research report / University of Sheffield. Department of Control Engineering -- no.301, Research report (University of Sheffield. Department of Control Engineering) -- no.301. |

ID Numbers | |
---|---|

Open Library | OL13959669M |

Optimal control for a class of partially observed bilinear stochastic systems Abstract: An alternative formulation is presented for a class of partially observed bilinear stochastic control problems which is described by three sets of stochastic differential equations: one for the system to be controlled, one for the observer, and one for the. This paper considers the optimal control problem for the bilinear system based on state feedback. Based on the concept of relative order of the output with respect to the input, first we change a bilinear system to a pseudo linear system model through the coordinate transformation. Then based on the theory of linear quadratic optimal control, the optimal Cited by: 1. 7. Stochastic Adaptive Dynamic Programming for Robust Optimal Control Design 8. Model-based reinforcement learning for approximate optimal regulation. 9. Continuous-Time Distributed Adaptive Dynamic Programming for Heterogeneous Multi-Agent Optimal Synchronization Control Model-Free Learning of Games with Applications to Network .

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This volume presents the analysis of optimal control problems for systems described by partial differential equations. The book offers simple and clear exposition of main results in this area.

The methods proposed by the author cover cases where the controlled system corresponds to well-posed or ill-posed boundary value problems, which can be Cited by: This book is designed to be a comprehensive treatment of linear methods to optimal control of bilinear systems.

The unified theme of this book is the use of dynamic programming in order to simplify and decompose required computations for the optimal control of bilinear-quadratic by: This book is designed to be a comprehensive treatment Optimal control of distributed bilinear systems.

book linear methods to optimal control of bilinear systems. The unified theme of this book is the use of dynamic programming in order to simplify and decompose required computations for the optimal control of bilinear-quadratic systems.

Optimal Control of Distributed Systems with Conjugation Conditions. Authors: Sergienko, Ivan V., Deineka, Vasyl S. Editors: Shor, Naum Z. (Ed.) Free Preview. Buy this book eBook ,69 € price for Spain (gross) Buy eBook ISBN ; Digitally watermarked, DRM-free; Included Optimal control of distributed bilinear systems.

book PDF; ebooks can be used on all reading devices. Optimal control of distributed bilinear systems. book Addou A and Benbrik A () Existence and Uniqueness of Optimal Control for a Distributed-Parameter Bilinear System, Journal of Dynamical and Control Systems,(), Online publication date: 1-Apr The optimal control problem for a bilinear distributed parameter system It is shown that the subject to a quadratic cost functional is solved.

optimal control is given by a convergent power series in the state with tensor coefficients. Bilinear—quadratic control problem, optimal control.

Keywords: Optimal control of bilinear systems Consider now the bilinear system x () where x E H, u E R is a scalar control, A is a closed, densely-defined operator which generates a semigroup T(t), and B is a bounded by: 4.

of optimal linear weakly coupled control systems. This book represents a comprehensive overview of the current state of knowledge of both the Optimal control of distributed bilinear systems. book approach and the Hamiltonian ap-proach to weakly coupled linear and bilinear optimal control systems.

The book devises unique powerful methods whose core results are re. An optimal control problem for a class of distributed parameter systems with bilinear type controls applied to the coefficient matries is formulated.

The necessary conditions for optimal bilinear controls from the variational technique are given. The conjugate gradient minimization algorithm is presented with a numerical by: 3.

Analysis and synthesis of distributed coordination and control algorithms for networked dynamic systems has be-come a vibrant part of control theory research. Several au-thors have studied the problem of optimal control of certain classes of spatially distributed systems with symmetries in their spatial structure.

In [1], Bamieh et al. used spatial. This book is designed to be a comprehensive treatment of linear methods to optimal control of bilinear systems. The unified theme of this book is the use of dynamic programming in order to simplify and decompose required computations for the.

Optimal control theory Optimal control of distributed bilinear systems. book distributed parameter systems is a fundamental tool in applied Optimal control of distributed bilinear systems. book. Since the pioneer book by J.-L. Lions [24] published in many papers have been devoted to both its theoretical aspects and its practical applications.

The present article belongs to the latter set: we review some work relatedCited by: 5. The optimal control problem for a bilinear distributed parameter system subject to a quadratic cost functional is solved.

It is shown that the optimal control is given by a convergent power series in the state with tensor coefficients Publisher: Dept of Automatic Control and System Engineering. Optimal Control of Distributed Systems. Theory and Applications.

This volume presents the analysis of optimal control problems for systems described by partial differential equations. The book offers simple and clear exposition of main results in this area.

Migórski S and Ochal A () Optimal Control of Parabolic Hemivariational Inequalities, Journal of Global Optimization,(), Online publication date: 1-Sep Save to Binder Create a New Binder. Optimal Design of Distributed Control and Embedded Systems focuses on the design of special control and scheduling algorithms based on system structural properties as well as on analysis of the influence of induced time-delay on systems performances.

It treats the optimal design of distributed and embedded control systems (DCESs) with respect to. In this work, we address the issue of optimal control for a class of bilinear systems. The goal is to achieve approximately a desired gradient on the whole domain by.

Unique in scope, Optimal Control: Weakly Coupled Systems and Applications provides complete coverage of modern linear, bilinear, and nonlinear optimal control algorithms for both continuous-time and discrete-time weakly coupled systems, using deterministic as well as stochastic by: A control system is called bilinear if it is described by linear differential equations in which the control inputs appear as coefficients.

The study of bilinear control systems began in the s and has since developed into a fascinating field, vital for the solution of many challenging practical control problems.

Some Aspects Of The Optimal Control Of Distributed Parameter Systems | J -L Lions | download | B–OK. Download books for free. Find books. () Regional Optimal Control Problem Governed by Distributed Bi-linear Hyperbolic Systems.

International Journal of Control, Automation and Systems() Constrained Optimal Control for a Class of Semilinear Infinite Dimensional by: We consider the problem of optimal control of a Kirchhoff plate. Bilinear controls are used as forces acting on internal regions, to make the plate close to a desired profile, taking into the account a quadratic cost of control.

We prove the existence of an optimal control and characterize it uniquely through the solution of an optimality system. Distributed Parameter Control Systems: Theory and Application is a two-part book consisting of 10 theoretical and five application-oriented chapters contributed by well-known workers in the distributed-parameter systems.

The book covers topics of distributed parameter control systems in the areas of simulation, identification, state estimation.

Description. Distributed Parameter Control Systems: Theory and Application is a two-part book consisting of 10 theoretical and five application-oriented chapters contributed by well-known workers in the distributed-parameter systems.

The book covers topics of distributed parameter control systems in the areas of simulation, Book Edition: 1. This book describes how control of distributed systems can be advanced by an integration of control, communication, and computation. The global control objectives are met by judicious combinations of local and nonlocal observations taking advantage of various forms of communication exchanges between distributed controllers.

Control architectures are. We study a regional optimal control problem of a bilinear wave equation evolving on a spatial domain Ω with a distributed controls.

We search a distributed control which aims to minimise a given functional cost that contains the gap between a desired state and the reached one. This latter is defined only on a subregion ω of by: 1.

This paper deals with an optimal control problem with quadratic cost for a class of bilinear systems using the orthogonal functions technique. The main idea of this technique is that it reduces the problem to solving a system of algebraic equations, thus simplifying the by: 1.

Fixed-endpoint minimum-energy control of bilinear ensemble systems Abstract: Optimal control of bilinear systems has been a well-studied subject in the area of mathematical control. However, effective methods for solving the emerging optimal control problems involving an ensemble of bilinear systems are underdeveloped.

The aim of this paper is to determine the feedforward and state feedback suboptimal time control for a subset of bilinear systems, namely, the control sequence and reaching time.

This paper proposes a method that uses Block pulse functions as an orthogonal base. The bilinear system is projected along that base. The mathematical integration is transformed into a product of by: 2. Motivated by the problem of microfluidic mixing, optimal control of advective mixing in Stokes fluid flows is considered.

The velocity field is assumed to be induced by a finite set of spatially distributed force fields that can be modulated arbitrarily with time, and a passive material is advected by the by: The author of this book made an attempt to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control.

The book touches upon a wide range of issues such as solvability of boundary values problems for partial differential equations with generalized right-hand sides, the existence of optimal. Zerrik currently works at the Mathematics, Université Moulay Ismail.

Their current project is 'Controllability and stabilisability of distributed systems'. Lecture 15 - Distributed Control • Spatially distributed systems • Motivation • Paper machine application • Feedback control with regularization • Optical network application • Few words on good stuff that was left out.

EEm - Winter Control Engineering Sensors. Summary: Attempts to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control. This book touches upon a range of issues such as the existence of optimal controls, the necessary conditions of optimality, the controllability of.

Linear optimal control of bilinear systems: with applications to singular perturbations and weak coupling. [Zijad Aganović; Zoran Gajic] -- This book is designed to be a comprehensive treatment of linear methods to optimal control of bilinear systems.

In this paper, we consider a novel bilinear magnetic control problem arising in a 1-D MHD flow system modeled by a set of coupled partial differential equations (PDEs). We formulate the control of the magnetic field as a finite-time PDE-constrained dynamic optimal control problem and our aim is to realize the desired stationary state of the Cited by: 1.

ABSTRACTThis paper considers a regional optimal control problem for a class of semilinear infinite dimensional systems, with distributed controls. The existence of an optimal control is proven, and then this control is characterised for four cases of admissible controls.

Theoretical results lead to a useful algorithm, that we illustrate by simulations of two heat Author: El Hassan Zerrik, Nihale El Boukhari. () Stabilization for distributed semilinear systems governed by optimal feedback control.

International Journal of Dynamics and Control 5. () On the stabilization of a system of neutral type occurring in co-generation.

Covers distributed joint optimal network scheduling and control design for wireless NCS, as well as the effect of network protocols on the wireless NCS controller design An ideal reference for graduate students, university researchers, and practicing engineers, Optimal Networked Control Systems with MATLAB ® instills a solid understanding of Cited by: 2.

Control Systems, Robotics, And Automation Chemical Sciences, Engineering and Technology Resources Water Sciences, Engineering and Technology Resources Energy Sciences, Engineering and Technology Resources.

Finally, time optimal and minimum effort control problems for linear and bilinear systems are studied. Pdf overcome the difficulties of nondifferentiability in the bang-bang control, a regularized problem is formulated and the semi-smooth Newton method is applied for solving the regularized optimality : Qin Zhang.Linear optimal control of bilinear systems: with applications to singular perturbations and weak coupling.Distributed ebook, Optimal control, Bilinear system, Stabilization, Semi-active structure: the proposed distributed control strategy significantly outperforms the passive damping strategies and is competitive with a standard centralized control.

The proposed approach is general to a class of bilinear control systems concerned with smart.