Design Of Optimal Feedback For Structural Control

Structural control is an approach aimed at the suppressing unwanted dynamic phenomena in civil structures. It proposes the use of methods and tools from control theory for the analysis and manipulation of a structure’s dynamic behavior, with emphasis on suppression of seismic and wind responses. This book addresses problems in optimal structural control. Its goal is to provide solutions and techniques for these problems by using optimal control theory. Thus, it deals with the solution of optimal control design problems related to passive and semi-active controlled structures. The formulated problems consider constraints and excitations which are common in structural control. Optimal control theory is used in order to solve these problems in a rigorous manner. Even though there are many works in this field, none comprise optimization techniques with firm theoretical background that address the solution of passive and semi-active structural control design problems. The book begins with a discussion on models which are commonly used for civil structures and control actuators. Modern theoretical notions, such as dissipativity and passivity of dynamic systems are discussed in context of the addressed problems. Optimal control theory and suitable successive methods are reviewed. Novel solutions for optimal passive and semi-active control design problems are derived, based on firm theoretical foundations. These results are verified by numerical simulations of typical civil structures which are subjected to different types of dynamic excitations.

Structural control is an approach aimed at the suppressing unwanted dynamic phenomena in civil structures. It proposes the use of methods and tools from control theory for the analysis and manipulation of a structure’s dynamic behavior, with emphasis on suppression of seismic and wind responses. This book addresses problems in optimal structural control. Its goal is to provide solutions and techniques for these problems by using optimal control theory. Thus, it deals with the solution of optimal control design problems related to passive and semi-active controlled structures. The formulated problems consider constraints and excitations which are common in structural control. Optimal control theory is used in order to solve these problems in a rigorous manner. Even though there are many works in this field, none comprise optimization techniques with firm theoretical background that address the solution of passive and semi-active structural control design problems. The book begins with a discussion on models which are commonly used for civil structures and control actuators. Modern theoretical notions, such as dissipativity and passivity of dynamic systems are discussed in context of the addressed problems. Optimal control theory and suitable successive methods are reviewed. Novel solutions for optimal passive and semi-active control design problems are derived, based on firm theoretical foundations. These results are verified by numerical simulations of typical civil structures which are subjected to different types of dynamic excitations.

This book proposes, for the first time, a basic formulation for structural control that takes into account the stochastic dynamics induced by engineering excitations in the nature of non-stationary and non-Gaussian processes. Further, it establishes the theory of and methods for stochastic optimal control of randomly-excited engineering structures in the context of probability density evolution methods, such as physically-based stochastic optimal (PSO) control. By logically integrating randomness into control gain, the book helps readers design elegant control systems, mitigate risks in civil engineering structures, and avoid the dilemmas posed by the methods predominantly applied in current practice, such as deterministic control and classical linear quadratic Gaussian (LQG) control associated with nominal white noises.

A typical engineering task during the development of any system is, among others, to improve its performance in terms of cost and response. Improvements can be achieved either by simply using design rules based on the experience or in an automated way by using optimization methods that lead to optimum designs. Design Optimization of Active and Passive Structural Control Systems includes Earthquake Engineering and Tuned Mass Damper research topics into a volume taking advantage of the connecting link between them, which is optimization. This is a publication addressing the design optimization of active and passive control systems. This title is perfect for engineers, professionals, professors, and students alike, providing cutting edge research and applications.

An excellent introduction to feedback control system design, this book offers a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems. Its explorations of recent developments in the field emphasize the relationship of new procedures to classical control theory, with a focus on single input and output systems that keeps concepts accessible to students with limited backgrounds. The text is geared toward a single-semester senior course or a graduate-level class for students of electrical engineering. The opening chapters constitute a basic treatment of feedback design. Topics include a detailed formulation of the control design program, the fundamental issue of performance/stability robustness tradeoff, and the graphical design technique of loopshaping. Subsequent chapters extend the discussion of the loopshaping technique and connect it with notions of optimality. Concluding chapters examine controller design via optimization, offering a mathematical approach that is useful for multivariable systems.

A text/reference on analysis of structures that deform in use. Presents a new, integrated approach to analytical dynamics, structural dynamics and control theory and goes beyond classical dynamics of rigid bodies to incorporate analysis of flexibility of structures. Includes real-world examples of applications such as robotics, precision machinery and aircraft structures.

This book is an outgrowth of several years of teaching and research of the two authors in the field of structural dynamics and control. The content of the book is based on structural dynamics, classical and modern control theory and involves also recent developments that took place with respect to the control of systems with distri buted masses. It is hoped that the book will serve the researcher and the practicing engineer in the areas of ci vi 1, mechanical and aeronautical engineering. It may also be of interest to applied mathematicians and to physicists. There is no question that the book can be used as a reference book for advanced courses in the above mentioned areas. The numerous examples will provide students with the necessary material for exercising themselves and for self studying. Thanks are due to Mrs. Cynthia Jones for preparing patiently and competently the typescript of the book. The services of Mrs. Linda Strouth, Solid Mechanics Division, University of Waterloo, rendered in producing the camera-ready copy of the book with great skill and devotion, are gratefully acknowledged. Special thanks go to Mr. Ir. Ad. C. Plaizier, at Martinus Nijhoff/Dr. W. Junk, who with much understanding and enthusiasm supervised the production of the book as Publisher. May the readers of it enjoy it, and may they have the fee ling of having gained something in turning to it and using it.

This volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics. Chapters have been significantly expanded since preliminary versions appeared in a special issue of the Journal of Optimization Theory and Applications (184(1), 2020) on “Calculus of Variations in Mechanics and Related Fields”. The variety of topics covered offers researchers an overview of problems in mechanics that can be analyzed with variational techniques, making this a valuable reference for researchers in the field. It also presents ideas for possible future areas of research, showing how the mastery of these foundational mathematical techniques can be used for many exciting applications. Specific topics covered include: Topology optimization Identification of material properties Optimal control Plastic flows Gradient polyconvexity Obstacle problems Quasi-monotonicity Variational Views in Mechanics will appeal to researchers in mathematics, solid-states physics, and mechanical, civil, and materials engineering.

Deterministic optimal control has contributed to the field of structural optimization through the introduction of new concepts, alternative ways of viewing design problems and a systematic methodology for solving design problems. It remains to show the applicability of stochastic control to the probabilistic structural optimization problem. Here the applicability is not so self evident but its usefulness can be demonstrated. The paper examines open-loop, closed-loop, open-loop feedback and m-measurement feedback control policies and gives the optimal result for the general nonlinear structural optimization problem. The special linear-quadratic problem is examined along with numerical approaches to solving the general nonlinear problem, including the method of stochastic approximation. The design of members in flexure and compression is used to illustrate the methodology. (Author).