Advanced Mathematical Tools For Control Engineers Volume 1
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| Author | : Alexander S. Poznyak |
| Publisher | : Elsevier |
| Total Pages | : 803 |
| Release | : 2010-07-07 |
| Genre | : Mathematics |
| ISBN | : 0080556108 |
Advanced Mathematical Tools for Control Engineers: Volume 1 provides a blend of Matrix and Linear Algebra Theory, Analysis, Differential Equations, Optimization, Optimal and Robust Control. It contains an advanced mathematical tool which serves as a fundamental basis for both instructors and students who study or actively work in Modern Automatic Control or in its applications. It is includes proofs of all theorems and contains many examples with solutions. It is written for researchers, engineers, and advanced students who wish to increase their familiarity with different topics of modern and classical mathematics related to System and Automatic Control Theories. - Provides comprehensive theory of matrices, real, complex and functional analysis - Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications - Contains worked proofs of all theorems and propositions presented
| Author | : Alexander S. Poznyak |
| Publisher | : Elsevier |
| Total Pages | : 568 |
| Release | : 2009-08-13 |
| Genre | : Technology & Engineering |
| ISBN | : 0080914039 |
Advanced Mathematical Tools for Automatic Control Engineers, Volume 2: Stochastic Techniques provides comprehensive discussions on statistical tools for control engineers. The book is divided into four main parts. Part I discusses the fundamentals of probability theory, covering probability spaces, random variables, mathematical expectation, inequalities, and characteristic functions. Part II addresses discrete time processes, including the concepts of random sequences, martingales, and limit theorems. Part III covers continuous time stochastic processes, namely Markov processes, stochastic integrals, and stochastic differential equations. Part IV presents applications of stochastic techniques for dynamic models and filtering, prediction, and smoothing problems. It also discusses the stochastic approximation method and the robust stochastic maximum principle. - Provides comprehensive theory of matrices, real, complex and functional analysis - Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications - Contains worked proofs of all theorems and propositions presented
| Author | : Alex Poznyak |
| Publisher | : Elsevier Science |
| Total Pages | : 567 |
| Release | : 2009-11-05 |
| Genre | : Technology & Engineering |
| ISBN | : 9780080446738 |
Advanced Mathematical Tools for Automatic Control Engineers, Volume 2: Stochastic Techniques provides comprehensive discussions on statistical tools for control engineers. The book is divided into four main parts. Part I discusses the fundamentals of probability theory, covering probability spaces, random variables, mathematical expectation, inequalities, and characteristic functions. Part II addresses discrete time processes, including the concepts of random sequences, martingales, and limit theorems. Part III covers continuous time stochastic processes, namely Markov processes, stochastic integrals, and stochastic differential equations. Part IV presents applications of stochastic techniques for dynamic models and filtering, prediction, and smoothing problems. It also discusses the stochastic approximation method and the robust stochastic maximum principle. Provides comprehensive theory of matrices, real, complex and functional analysis Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications Contains worked proofs of all theorems and propositions presented
| Author | : Roland Burns |
| Publisher | : Butterworth-Heinemann |
| Total Pages | : 158 |
| Release | : 2001-11-07 |
| Genre | : Science |
| ISBN | : 9780750651004 |
Advanced Control Engineering provides a complete course in control engineering for undergraduates of all technical disciplines. Included are real-life case studies, numerous problems, and accompanying MatLab programs.
| Author | : Vladimir Vasilʹevich Mitin |
| Publisher | : Wiley-Interscience |
| Total Pages | : 336 |
| Release | : 2001-04-02 |
| Genre | : Mathematics |
| ISBN | : |
A convenient single source for vital mathematical concepts, writtenby engineers and for engineers. Builds a strong foundation in modern applied mathematics forengineering students, and offers them a concise and comprehensivetreatment that summarizes and unifies their mathematical knowledgeusing a system focused on basic concepts rather than exhaustivetheorems and proofs. The authors provide several levels of explanation and exercisesinvolving increasing degrees of mathematical difficulty to recalland develop basic topics such as calculus, determinants, Gaussianelimination, differential equations, and functions of a complexvariable. They include an assortment of examples ranging fromsimple illustrations to highly involved problems as well as anumber of applications that demonstrate the concepts and methodsdiscussed throughout the book. This broad treatment also offers:*Key mathematical tools needed by engineers working incommunications, semiconductor device simulation, and control theory* Concise coverage of fundamental concepts such as sets, mappings,and linearity * Thorough discussion of topics such as distance,inner product, and orthogonality * Essentials of operatorequations, theory of approximations, transform methods, and partialdifferential equationsIt makes an excellent companion to lessgeneral engineering texts and a useful reference for practitioners.
| Author | : Karl Johan Åström |
| Publisher | : Princeton University Press |
| Total Pages | : |
| Release | : 2021-02-02 |
| Genre | : Technology & Engineering |
| ISBN | : 069121347X |
The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
| Author | : Michael Greenberg |
| Publisher | : |
| Total Pages | : 1344 |
| Release | : 2013-09-20 |
| Genre | : Engineering mathematics |
| ISBN | : 9781292042541 |
Appropriate for one- or two-semester Advanced Engineering Mathematics courses in departments of Mathematics and Engineering. This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers and scientists need to know. Equally effective as either a textbook or reference manual, it approaches mathematical concepts from a practical-use perspective making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style offering easy accessibility and frequent opportunities for application and reinforcement.
| Author | : Simant Ranjan Upreti |
| Publisher | : CRC Press |
| Total Pages | : 309 |
| Release | : 2016-04-19 |
| Genre | : Mathematics |
| ISBN | : 143983895X |
This self-contained book gives a detailed treatment of optimal control theory that enables readers to formulate and solve optimal control problems. With a strong emphasis on problem solving, it provides all the necessary mathematical analyses and derivations of important results, including multiplier theorems and Pontryagin's principle. The text presents various examples and basic concepts of optimal control and describes important numerical methods and computational algorithms for solving a wide range of optimal control problems, including periodic processes.
| Author | : Franco Pavese |
| Publisher | : World Scientific |
| Total Pages | : 419 |
| Release | : 2009 |
| Genre | : Technology & Engineering |
| ISBN | : 9812839526 |
The main theme of the AMCTM 2008 conference, reinforced by the establishment of IMEKO TC21, was to provide a central opportunity for the metrology and testing community worldwide to engage with applied mathematicians, statisticians and software engineers working in the relevant fields. This review volume consists of reviewed papers prepared on the basis of the oral and poster presentations of the Conference participants. It covers all the general matters of advanced statistical modeling (e.g. uncertainty evaluation, experimental design, optimization, data analysis and applications, multiple measurands, correlation, etc.), metrology software (e.g. engineering aspects, requirements or specification, risk assessment, software development, software examination, software tools for data analysis, visualization, experiment control, best practice, standards, etc.), numerical methods (e.g. numerical data analysis, numerical simulations, inverse problems, uncertainty evaluation of numerical algorithms, applications, etc.), and data fusion techniques and design and analysis of inter-laboratory comparisons.
| Author | : Eduardo D. Sontag |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 543 |
| Release | : 2013-11-21 |
| Genre | : Mathematics |
| ISBN | : 1461205778 |
Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses. The minimal mathematical background required is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch. In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.
