Tag: Finite

Finite Horizon H∞ and Related Control Problems


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English | PDF | 1995 | 131 Pages | ISBN : 0817638113 | 12.1 MB
HIS book presents a generalized state-space theory for the analysis T and synthesis of finite horizon suboptimal Hoo controllers. We de rive expressions for a suboptimal controller in a general setting and propose an approximate solution to the Hoo performance robustness problem. The material in the book is taken from a collection of research papers written by the author. The book is organized as follows. Chapter 1 treats nonlinear optimal control problems in which the cost functional is of the form of a quotient or a product of powers of definite integrals. The problems considered in Chap ter 1 are very general, and the results are useful for the computation of the actual performance of an Hoo suboptimal controller. Such an application is given in Chapters 4 and 5. Chapter 2 gives a criterion for the evaluation of the infimal Hoc norm in the finite horizon case. Also, a differential equation is derived for the achievable performance as the final time is varied. A general suboptimal control problem is then posed, and an expression for a subopti mal Hoo state feedback controller is derived. Chapter 3 develops expressions for a suboptimal Hoo output feedback controller in a very general case via the solution of two dynamic Riccati equations. Assuming the adequacy of linear expressions, Chapter 4 gives an iterative procedure for the synthesis of a suboptimal Hoo controller that yields the required performance even under parameter variations.

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The Finite Element Method From Theory to Practice


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by Ciarlet, Patrick;Luneville, Eric;, Eric Lunéville

English | 2023 | ISBN: 1786307685 | 400 pages | True EPUB | 11.98 MB
The finite element method, which emerged in the 1950s to deal with structural mechanics problems, has since undergone continuous development. Using partial differential equation models, it is now present in such fields of application as mechanics, physics, chemistry, economics, finance and biology. It is also used in most scientific computing software, and many engineers become adept at using it in their modeling and numerical simulation activities. This book presents all the essential elements of the finite element method in a progressive and didactic the theoretical foundations, practical considerations of implementation, algorithms, as well as numerical illustrations created in MATLAB. Original exercises with detailed answers are provided at the end of each chapter.

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Programming the Finite State Machine with 8-Bit PICs in Assembly and C


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by Pratt, Andrew;

English | 2020 | ISBN: 1907920927 | 188 pages | True PDF | 10.85 MB
This practical guide is aimed at electronics students and hobbyists. It is intended to be a valuable aid in writing programs using Finite State Machines (FSMs) in assembly language using 8-bit PIC microcontrollers. The last two chapters introduce the use of the C programming language and make a direct comparison with development in Assembly.

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Material Modeling in Finite Element Analysis, 2nd Edition


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by Zhaochun Yang

English | 2023 | ISBN: 9781032566023 | 321 pages | True PDF | 45.76 MB
Finite element analysis has been widely applied in mechanical, civil, and biomedical designs. This new edition provides the readers with comprehensive views of various material models through practical examples, which will help them better understand various materials and build appropriate material models in finite element analysis. Material Modeling in Finite Element Analysis, Second Edition, consists of four main parts: (1) metals, (2) polymers, (3) soils, and (4) modern materials. Each part starts with the structure and function of different materials and then follows the corresponding material models and the temperature and time effects on the material models. The final part focuses on user subroutines such as UserMat and UserHyper. This book presents some specific problems including the metal-forming process, combustion room, Mullins effect of rubber tires, viscoelasticity of liver soft tissues, small punch test, tunnel excavation, slope stability, concrete slump test, orthodontic wire, and piezoelectric microaccelerometer. All modeling files are provided in the appendices of this book. This book would be helpful for graduate students and researchers in the mechanical, civil, and biomedical fields who conduct finite element analysis. This book provides all readers with a comprehensive understanding of modeling various materials.

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Group Theory Finite Discrete Groups and Applications


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by John Demetrius Vergados & Vasiliki-loanna Vergadou-Remediaki

English | 2023 | ISBN: 9811274754 | 364 pages | True PDF | 15.27 MB
This book deals with the role played by symmetry in the understanding of the physical world, beginning with the notion of geometric symmetries of the ancient Greek philosophers and mathematicians. The recognition of the existence of symmetries led to the notion of transformations, which led from one state of the system to another. It was then realized that such transformations, under the operation of multiplication, constitute an interesting set, whose study led to the branch of mathematics known as Group Theory. With the emergence of quantum mechanics, this theory became much more interesting and led to some additional applications. The theory got another boost with the need for of the internal degrees of freedom in describing physical systems. This way the notion of symmetry is no longer purely geometric and evolved into a useful tool in the study of all physical sciences.For practical reasons as well as pedagogical reasons, group theory is usually split into two parts. The first deals with discrete groups, with the group elements being countable, usually finite in number, while the second deals with continuous groups, whose elements depend on continuous parameters. This volumefocuses the discussion on discrete groups. Given that group theory should be presented from a unified perspective, involving not only the mathematical rigor and beauty of symmetries, but also the ability to use it as a tool for applications, either currently popular or expected to become so in the future, this approach will surely be more beneficial to the dedicated reader. It is not intended for those who would like to just look up a formula or use the results of a table, without understanding their derivation.

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Finite Element Analysis with SOLIDWORKS Simulation


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by Robert H. King

English | 2019 | ISBN: 1337618683 | 466 pages | True PDF | 50.17 MB
King’s FINITE ELEMENT ANALYSIS WITH SOLIDWORKS SIMULATION prepares you for a range of professional applications using an innovative, efficient approach that combines presentation theory with solid mechanics calculations to confirm your configurations. The author demonstrates calculations in PTC Mathcad, providing an interactive "what-if" environment. You then build SOLIDWORKS simulations. The book focuses on 3D analysis of real-world designs while emphasizing fundamentals. You master critical concepts such as singular stiffness matrices, digital resolution, and rigid-body motion. You build a small FEA software program in PTC Mathcad that implements a 1D spring model. Investigations help you explore the effects of changing your analyses as you compare solutions, identify errors, make decisions and examine alternative configurations and new models as problem solvers and critical thinkers.

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Discrete, Finite and Lie Groups Comprehensive Group Theory in Geometry and Analysis (De Gruyter STEM)


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by Pietro Giuseppe Fré

English | 2023 | ISBN: 3111200752 | 530 pages | True PDF EPUB | 67.61 MB
In a self contained and exhaustive work the author covers Group Theory in its multifaceted aspects, treating its conceptual foundations in a proper logical order. First discrete and finite group theory, that includes the entire chemical-physical field of crystallography is developed self consistently, followed by the structural theory of Lie Algebras with a complete exposition of the roots and Dynkin diagrams lore. A primary on Fibre-Bundles, Connections and Gauge fields, Riemannian Geometry and the theory of Homogeneous Spaces G/H is also included and systematically developed.

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