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Author: David G. Hull Publisher: Springer Science & Business Media ISBN: 1475741804 Category : Technology & Engineering Languages : en Pages : 402
Book Description
The published material represents the outgrowth of teaching analytical optimization to aerospace engineering graduate students. To make the material available to the widest audience, the prerequisites are limited to calculus and differential equations. It is also a book about the mathematical aspects of optimal control theory. It was developed in an engineering environment from material learned by the author while applying it to the solution of engineering problems. One goal of the book is to help engineering graduate students learn the fundamentals which are needed to apply the methods to engineering problems. The examples are from geometry and elementary dynamical systems so that they can be understood by all engineering students. Another goal of this text is to unify optimization by using the differential of calculus to create the Taylor series expansions needed to derive the optimality conditions of optimal control theory.
Author: David G. Hull Publisher: Springer Science & Business Media ISBN: 1475741804 Category : Technology & Engineering Languages : en Pages : 402
Book Description
The published material represents the outgrowth of teaching analytical optimization to aerospace engineering graduate students. To make the material available to the widest audience, the prerequisites are limited to calculus and differential equations. It is also a book about the mathematical aspects of optimal control theory. It was developed in an engineering environment from material learned by the author while applying it to the solution of engineering problems. One goal of the book is to help engineering graduate students learn the fundamentals which are needed to apply the methods to engineering problems. The examples are from geometry and elementary dynamical systems so that they can be understood by all engineering students. Another goal of this text is to unify optimization by using the differential of calculus to create the Taylor series expansions needed to derive the optimality conditions of optimal control theory.
Author: Kathrin Flaßkamp Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
Optimal control problems for mechanical systems manifoldly arise in the fields of engineering and natural sciences, for instance, in robotics, biomechanics, automotive systems, or in space mission design. Here, the aim is to influence the systems dynamical behavior via its control inputs such that a given problem is optimally solved. For complex technical systems, an adequate modeling leads to hybrid dynamical systems. Hybrid control strategies provide a range of new possibilities for the design and the numerical computation of optimal control laws and, at the same time, a number of interesting open questions concerning the analysis, control, and optimization of hybrid dynamical systems arise. This thesis is devoted to two main aspects in this field: structure exploiting motion planning and optimal control of hybrid mechanical systems. The first part focuses on an optimal control method termed motion planning with motion primitives, which is based on exploiting inherent dynamical structures of the system, namely symmetry and (un)stable invariant manifolds. In many applications, energy efficiency plays a major role in the control design. To compute sequences with minimal control effort, the uncontrolled, i.e. natural dynamics are searched for (un)stable invariant manifolds of equilibrium points. In the second part of this thesis, the optimal control method DMOC (Discrete Mechanics and Optimal Control) is extended to hybrid mechanical systems. To this aim, a hybrid variational principle is developed. Then, an optimal control problem for a hybrid mechanical system can be addressed by a two layer approach. As an important subproblem, switching time optimization for discretized dynamical systems is studied. Finally, the motion planning method is brought into the hybrid optimal control setting. ; eng
Author: Francesco Bullo Publisher: Springer ISBN: 1489972765 Category : Science Languages : en Pages : 727
Book Description
The area of analysis and control of mechanical systems using differential geometry is flourishing. This book collects many results over the last decade and provides a comprehensive introduction to the area.
Author: Viorel Badescu Publisher: Springer ISBN: 3319529684 Category : Technology & Engineering Languages : en Pages : 584
Book Description
This book is the first major work covering applications in thermal engineering and offering a comprehensive introduction to optimal control theory, which has applications in mechanical engineering, particularly aircraft and missile trajectory optimization. The book is organized in three parts: The first part includes a brief presentation of function optimization and variational calculus, while the second part presents a summary of the optimal control theory. Lastly, the third part describes several applications of optimal control theory in solving various thermal engineering problems. These applications are grouped in four sections: heat transfer and thermal energy storage, solar thermal engineering, heat engines and lubrication.Clearly presented and easy-to-use, it is a valuable resource for thermal engineers and thermal-system designers as well as postgraduate students.
Author: Hans P. Geering Publisher: Springer Science & Business Media ISBN: 3540694382 Category : Technology & Engineering Languages : en Pages : 141
Book Description
This book introduces a variety of problem statements in classical optimal control, in optimal estimation and filtering, and in optimal control problems with non-scalar-valued performance criteria. Many example problems are solved completely in the body of the text. All chapter-end exercises are sketched in the appendix. The theoretical part of the book is based on the calculus of variations, so the exposition is very transparent and requires little mathematical rigor.
Author: Wei He Publisher: Springer Science & Business Media ISBN: 1447153375 Category : Technology & Engineering Languages : en Pages : 240
Book Description
Dynamics and Control of Mechanical Systems in Offshore Engineering is a comprehensive treatment of marine mechanical systems (MMS) involved in processes of great importance such as oil drilling and mineral recovery. Ranging from nonlinear dynamic modeling and stability analysis of flexible riser systems, through advanced control design for an installation system with a single rigid payload attached by thrusters, to robust adaptive control for mooring systems, it is an authoritative reference on the dynamics and control of MMS. Readers will gain not only a complete picture of MMS at the system level, but also a better understanding of the technical considerations involved and solutions to problems that commonly arise from dealing with them. The text provides: · a complete framework of dynamical analysis and control design for marine mechanical systems; · new results on the dynamical analysis of riser, mooring and installation systems together with a general modeling method for a class of MMS; · a general method and strategy for realizing the control objectives of marine systems with guaranteed stability the effectiveness of which is illustrated by extensive numerical simulation; and · approximation-based control schemes using neural networks for installation of subsea structures with attached thrusters in the presence of time-varying environmental disturbances and parametric uncertainties. Most of the results presented are analytical with repeatable design algorithms with proven closed-loop stability and performance analysis of the proposed controllers is rigorous and detailed. Dynamics and Control of Mechanical Systems in Offshore Engineering is primarily intended for researchers and engineers in the system and control community, but graduate students studying control and marine engineering will also find it a useful resource as will practitioners working on the design, running or maintenance of offshore platforms.
Author: Wan-Xie Zhong Publisher: Springer Science & Business Media ISBN: 1402078803 Category : Mathematics Languages : en Pages : 467
Book Description
A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer. Precise integration methods both for initial value problems and for two-point boundary value problems are proposed, which result in the numerical solutions of computer precision. Key Features of the text include: -Unified approach based on Hamilton duality system theory and symplectic mathematics. -Gyroscopic system vibration, eigenvalue problems. -Canonical transformation applied to non-linear systems. -Pseudo-excitation method for structural random vibrations. -Precise integration of two-point boundary value problems. -Wave propagation along wave-guides, scattering. -Precise solution of Riccati differential equations. -Kalman filtering. -HINFINITY theory of control and filter.
Author: David G. Hull
Author: David G. Hull
Author: Walter Schenker
Author: Kathrin Flaßkamp
Author: Francesco Bullo
Author: Viorel Badescu
Author: 
Author: Hans P. Geering
Author: Wei He
Author: Wan-Xie Zhong
Author: Sigrid Leyendecker