Last edited by Mazuzshura

Friday, May 15, 2020 | History

6 edition of **Linear optimal control of bilinear systems** found in the catalog.

- 59 Want to read
- 31 Currently reading

Published
**1995**
by Springer in Berlin, New York
.

Written in English

- Linear control systems.,
- Control theory.

**Edition Notes**

Includes bibliographical references (p. [117]-130) and index.

Statement | Zijad Aganović and Zoran Gajić. |

Series | Lecture notes in control and information sciences ;, 206 |

Contributions | Gajic, Zoran. |

Classifications | |
---|---|

LC Classifications | TJ220 .A33 1995 |

The Physical Object | |

Pagination | x, 133 p. : |

Number of Pages | 133 |

ID Numbers | |

Open Library | OL799037M |

ISBN 10 | 3540199764 |

LC Control Number | 95035270 |

In this paper, the suboptimal control for bilinear systems is discussed by use of the extension of linear-quadratic optimal control index. The design method of this bilinear suboptimal control system is presented. Its application to the moisture control of the paper-making process, as a example, is given. The simulation results show that this suboptimal control system functions very well. Parallel Algorithms for Optimal Control of Large Scale Linear Systems is a comprehensive presentation for both linear and bilinear systems. The parallel algorithms presented in this book are applicable to a wider class of practical systems than those served by traditional methods for large scale singularly perturbed and weakly coupled systems based on the power-series 4/5(1).

Linear Optimal Control of Bilinear Systems - with applications to singular perturbation and weak coupling,, pages, Springer Verlag, Lecture Notes in Control and Information Sciences Series, London, August, , [ISBN ]. Next, linear quadratic Gaussian (LQG) control is in-troduced for sensor-based feedback in Sec. Finally, methods of system linear system identiﬁcation are provided in Sec. This chapter is not meant to be an exhaustive primer on linear control theory, although key concepts from optimal control are introduced as needed to build in.

The theory of explicit MPC, where the nonlinear optimal feedback controller can be calculated efficiently, is presented in the context of linear systems with linear constraints, switched linear systems, and, more generally, linear hybrid systems. This is book for control System by wikibooks. Keep downloading such types of ebooks I hope it will help you and you will learn more from this pdf. Let me know if you want more. This ebook is a sure shot "Insurance" to get success in your "Classes". Following are the content of this book: Controls Introduction Classical Control Methods Modern Control Methods.

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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 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 systems. The purpose of this book is to acquaint the reader with the developments in bilinear systems theory and its applications.

Bilinear systems can be used to represent a wide range of physical, chemical, biological, and social systems, as well as manufacturing processes, which cannot be effectively modeled under the assumption of by: A knowledge of linear systems provides a firm foundation for the study of optimal control theory and many areas of system theory and signal processing.

State-space techniques developed since the early sixties have been proved to be very effective. The main objective of this book is to present a.

The linear-quadratic optimal control problem is apparently one of the simplest and most thoroughly studied. It is not surprising, therefore, that the nonlinear analogues of this problem have long since attracted the attention of control scientists (Andreev, ; Aganovic, ; Bloch and Crouch, ; Bloch, ; Jurdjevic, ; Agrachev and Sachkov, ).Cited by: 3.

Bilinear systems have been studied widely and have been shown to be an important extension to linear systems (see, for example, Bruni, et al. Mohler,Isidori,Brockett,Gutman, ).

The optimal control of bilinear systems has been considered by Tzafestas et al, andFile Size: 1MB. In book: Optimization and The linear-quadratic optimal control problem.

Optimal Control of Bilinear Systems. An optimal control for bilinear systems is considered here to describe the. Ibragimov D and Sirotin A () On the problem of optimal speed for the discrete linear system with bounded scalar control on the basis of 0-controllability sets, Automation and Remote Control,(), Online publication date: 1-Sep To the best of our knowledge, the study on optimal control concerned with coupled nonlinear Schrödinger system is still lacking in mathematics literatures.

For the optimal bilinear control problem governed by following Gross–Pitaevskii equation () i u t = − u + U (x) u + ϕ (t) V (x) u + λ | u | α u, u (0, x) = u 0, Hintermüller et al.

established a mathematical framework in [37]. Optimal equivalence between the bilinear system and the switched system is analyzed, which shows that any optimal control law can be equivalently expressed as a switching law. This specific switching law is most unstable for the switched system, and thus can Cited by: 1.

Optimal Control of Singularly Perturbed Linear Systems and Applications (Automation and Control Engineering) | Zoran Gajic | download | B–OK. Download books for free.

Find books. 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.

Moreover, since their nonlinearity is due to products between input and state variables, this class frequently may be studied by techniques similar to those employed for linear systems. This work is intended to motivate the interest of bilinear systems and to.

While we focus on quantum optimal control problems we argue that many of the results of this paper can be extended to general time-dependent bilinear control problems. Bilinear systems [12, Keywords: Bilinear System; Feedback Linearization; Optimal Control.

Introduction. Bilinear system is a special nonlinear system, during the processes of the engineering, social economy and eco- logy, there are so many objects can be described by bi- linear systems. Bilinear system is close to linear system in the aspects of form, so some File Size: KB.

Response Characteristics of Discrete-Time Systems Bilinear Input/Output Systems Two-Dimensional Linear Systems Remarks and References Problems CHAPTER 7 Identification Introduction Identification Using Impulse Inputs This book is designed to be a comprehensive treatment of linear methods to optimal control of bilinear systems.

The book also examines two special classes of bilinear-quadratic control problems: namely singularly perturbed and weakly coupled bilinear control systems.

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.

Finally, time optimal and minimum effort control problems for linear and bilinear systems are studied. To 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.

This book originates from several editions of lecture notes that were used as teach-ing material for the course ‘Control Theory for Linear Systems’, given within the framework of the national Dutch graduate school of systems and control, in the pe-riod from to The aim of this course is to provide an extensive treatment.

Bilinear systems are a special class of nonlinear systems, in which nonlinear terms are constructed by multiplication of control vector and state vector. An overview of the available control strategies for bilinear systems can be found in [1]-[5].

Besides, optimal control is one of the most active subjects in the control theory. In this work, we propose a method to solve an optimal control problem for a class of bilinear systems by converting it directly into an optimization parameters problem using BPFs.

This method is based on an approximation of the system state variables by BPFs series in finite length with unknown by: 1.Constructive nonlinear control - Sepulchre et al. - Springer, More focused on passivity and recursive approaches Nonlinear control systems - A.

Isidori - Springer Verlag, A reference for geometric approach Applied Nonlinear control - J.J. Slotine and W. Li - Prentice-Hall, An interesting reference in particular for sliding mode.