Optimal Control for Chemical Engineers by Simant Ranjan
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It’s my pleasure to current this e book on optimum management geared towards chemical engineers. The appliance of optimum management is a logical step in terms of pushing the envelopes of unit operations and processes present process modifications with time and area. This e book is actually a abstract of vital ideas I’ve realized within the final 16 years from the classroom, self-study, and analysis together with interplay with some nice people together with academics, authors, friends, and college students.The objective of this e book is to supply a sufficiently detailed therapy of optimum management that may allow readers to formulate optimum management issues and remedy them. With this emphasis, the e book supplies crucial mathematical analyses and derivations of vital outcomes. It’s assumed that the reader is on the degree of a graduate pupil. Chapter 1 stimulates curiosity in optimum management by describing numerous processes and introducing the mathematical description of optimum management issues. In opposition to this backdrop, readers are launched to the essential ideas of optimum management in Chapter 2. The notion of optimality is introduced and analyzed in Chapter 3. The ever-present Lagrange multipliers are launched on this chapter.
They’re elaborated later in Chapter 4 together with vital theorems and guidelines of utility. Chapter 5 presents the celebrated Pontryagin’s precept of optimum management. With this background, Chapter 6 places collectively various kinds of optimum management issues and the required situations for optimality. Chapter 7 describes vital numerical strategies and computational algorithms in a lucid method to unravel a variety of optimum management issues.
Chapter 8 introduces the optimum management of processes which are periodic and supplies related numerical strategies and algorithms. A quick assessment of mathematical ideas is offered in Chapter 9. Chapter-end bibliographies comprise the cited references in addition to vital sources on which I’ve relied. For an introductory one-semester course, instructors can contemplate Chapters 1–3, the primary outcomes from Chapters 4 and 5, and Chapters 6 and 7. A complicated course could embrace all chapters with clearly much less time dedicated to the primary three. Chapters 7 and 8 could kind part of a sophisticated optimization course. Containing all related mathematical outcomes and their derivations, the e book encourages self-study.
Throughout preliminary readings, some readers may wish to skip a derivation, settle for the outcome quickly, and focus extra on the functions. A working information of laptop programming is very beneficial to unravel optimum management issues — whether or not one intends to jot down one’s personal applications or use software program and applications developed by others. Optimal management is the results of super contributions of fantastic mathematicians, scientists, and engineers. To checklist their achievements is a formidable job. What I’ve introduced on this e book is what I may perceive and have first-hand expertise with. I hope the savants will assist me in bettering this e book and the scholars will discover the e book helpful.
I’m profoundly grateful to Dr. Anil Mehrotra, Dr. Ayodeji Jeje, and Dr. Robert Heidemann for their assiduous mentoring and coaching throughout my doctorate and postdoctoral fellowship on the College of Calgary. I’m grateful to my graduate college students, particularly Amir Sani, Hameed Muhamad, Dinesh Kumar Patel, and Vishalkumar Patel for serving to with the proofreading. I acknowledge Allison Shatkin, Karen Simon, and Marsha Pronin at CRC Press who’ve supplied very good help within the writing of this e book. I’m very appreciative of the excellent contributions of the builders of TEX, LATEX, MiKTEX, Xfig, Asymptote, AUCTEX, and GNU Emacs — the first functions I’ve used to organize the e book.
Optimal Control for Chemical Engineers 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, the book provides all the necessary mathematical analyses and derivations of important results, including multiplier theorems and Pontryagin’s principle.
The text begins by introducing various examples of optimal control, such as batch distillation and chemotherapy, and the basic concepts of optimal control, including functionals and differentials. It then analyzes the notion of optimality, describes the ubiquitous Lagrange multipliers, and presents the celebrated Pontryagin principle of optimal control. Building on this foundation, the author examines different types of optimal control problems as well as the required conditions for optimality. He also describes important numerical methods and computational algorithms for solving a wide range of optimal control problems, including periodic processes.
Through its lucid development of optimal control theory and computational algorithms, this self-contained book shows readers how to solve a variety of optimal control problems.
Optimal Control for Chemical Engineers
Author(s): Simant Ranjan Upreti
Publisher: CRC Press, Year: 2013
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