Rami A. Maher

Volume 2 offers a straightforward approach to understanding the theory of several engineering tools used to compute, evaluate, and analyse practical problems. It is a mathematic textbook that can be used by students, instructors, and technical carriers; partially, the book also covers signal processing in the related course syllabus. Throughout the four chapters of the book, besides the pure mathematical examples, several practical issues from different fields are modelled and solved to illustrate the relation between the theory and its applications. The book elucidates the subjects in a self-contained style. The reader can select what he wants to read without following a particular sequence of reading. Volume 2 contains four chapters that consist of two units. The first two chapters deal with the continuous and discrete function (signal) analysis that is based on Fourier's series and transforms, and on the z-transform for the discrete functions. The considered functions are periodic as well as aperiodic. The second unit consists of special multivariable functions, specifically, the space vector and the complex functions. Each chapter is ended with exercises that are arranged according to the chapter sections. The readers will find the answers at the end of the book.

ADVANCED ENGINEERING MATHEMATICS AND ANALYSIS: VOLUME 1 offers a straightforward approach to understanding the theory of several engineering tools that are used to compute, evaluate, and analyse practical problems. It is a mathematics textbook that can be used by students, instructors, and technical carriers. Throughout the five chapters of the book, besides the pure mathematical examples, several practical issues from different fields are modelled and solved to illustrate the relation between the theory and its applications. The book elucidates the subjects in a self-contained style. This volume contains the basics and advanced topics of linear algebra and matrix theory, two-chapter ordinary differential equations to elaborate many classes, Laplace transforms with fundamental applications, and a complete engineering course of numerical methods. Each chapter ends with exercises that are arranged according to the chapter sections. The readers will find the answers at the end of the book.

The Main focus of this book is: 1. Studying and analyzing of the uncertain behavior of the steam turbine system by identifying the uncertain parameters in the plant which have a direct effect on the system's performance and representing these parameters together with the neglected dynamics of the plant by a single complex perturbation from which the uncertainty weight will be derived. 2. Synthesizing a sub-optimal H-infinity robust controller for the steam turbine system using a state-space approach and testing the robust stability and performance of the system with the existence of the quantified uncertainty. 3. Designing an optimal H-infinity robust controller for the steam turbine system using a polynomial approach and evaluating the system stability and performance under the same considered uncertainty but with additive representation. 4. Evaluating the proposed controllers by making a comparative study between them in time and frequency domains. 5. Designing and testing a sub-optimal multi-variable H-infinity robust controller for boiler- turbine system based on the linearized model.