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Non-linear Control for Underactuated Mechanical Systems

Non-linear Control for Underactuated Mechanical Systems
Author: Isabelle Fantoni
Publisher: Springer Science & Business Media
Total Pages: 302
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1447101774

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This book deals with the application of modern control theory to some important underactuated mechanical systems, from the inverted pendulum to the helicopter model. It will help readers gain experience in the modelling of mechanical systems and familiarize with new control methods for non-linear systems.


Control of Nonlinear Mechanical Systems

Control of Nonlinear Mechanical Systems
Author: Jan M. Skowronski
Publisher: Springer Science & Business Media
Total Pages: 455
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461537223

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A modern mechanical structure must work at high speed and with high precision in space and time, in cooperation with other machines and systems. All this requires accurate dynamic modelling, for instance, recognizing Coriolis and centrifugal forces, strong coupling effects, flexibility of links, large angles articulation. This leads to a motion equation which must be highly nonlinear to describe the reality. r1oreover, work on the manufacturing floor requires coordination between nachines, between each machine and a conveyor, and demands robustness of the controllers against uncertainty in payload, gravity, external perturbations etc. This requires adaptive controllers and system coordination, and perhaps a self organizing structure. The machines become complex, strongly nonlinear and strongly coupled mechanical systems with many degrees of freedom, controlled by sophisticated mathematical programs. The design of such systems needs basic research in Control and System Dynamics, as well as in Decision Making Theory (Dynamic Games), not only in the use of these disciplines, but in their adjustment to the present demand. This in turn generates the need to prepare engineering students for the job by the teaching of more sophisti cated techniques in control and Mechanics than those contained in previous curricula. On the other hand, all that was mentioned above regarding the design of machines applies equally well to other presently designed and used mechan ical structures or systems.


Modal Analysis of Nonlinear Mechanical Systems

Modal Analysis of Nonlinear Mechanical Systems
Author: Gaetan Kerschen
Publisher: Springer
Total Pages: 346
Release: 2014-10-13
Genre: Technology & Engineering
ISBN: 3709117917

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The book first introduces the concept of nonlinear normal modes (NNMs) and their two main definitions. The fundamental differences between classical linear normal modes (LNMs) and NNMs are explained and illustrated using simple examples. Different methods for computing NNMs from a mathematical model are presented. Both advanced analytical and numerical methods are described. Particular attention is devoted to the invariant manifold and normal form theories. The book also discusses nonlinear system identification.


Lyapunov-Based Control of Mechanical Systems

Lyapunov-Based Control of Mechanical Systems
Author: Marcio S. de Queiroz
Publisher: Springer Science & Business Media
Total Pages: 321
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461213525

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The design of nonlinear controllers for mechanical systems has been an ex tremely active area of research in the last two decades. From a theoretical point of view, this attention can be attributed to their interesting dynamic behavior, which makes them suitable benchmarks for nonlinear control the oreticians. On the other hand, recent technological advances have produced many real-world engineering applications that require the automatic con trol of mechanical systems. the mechanism for de Often, Lyapunov-based techniques are utilized as veloping different nonlinear control structures for mechanical systems. The allure of the Lyapunov-based framework for mechanical system control de sign can most likely be assigned to the fact that Lyapunov function candi dates can often be crafted from physical insight into the mechanics of the system. That is, despite the nonlinearities, couplings, and/or the flexible effects associated with the system, Lyapunov-based techniques can often be used to analyze the stability of the closed-loop system by using an energy like function as the Lyapunov function candidate. In practice, the design procedure often tends to be an iterative process that results in the death of many trees. That is, the controller and energy-like function are often constructed in concert to foster an advantageous stability property and/or robustness property. Fortunately, over the last 15 years, many system the ory and control researchers have labored in this area to produce various design tools that can be applied in a variety of situations.


Nonlinear Control of Engineering Systems

Nonlinear Control of Engineering Systems
Author: Warren E. Dixon
Publisher: Springer Science & Business Media
Total Pages: 410
Release: 2013-06-29
Genre: Technology & Engineering
ISBN: 1461200318

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This practical yet rigorous book provides a development of nonlinear, Lyapunov-based tools and their use in the solution of control-theoretic problems. Rich in motivating examples and new design techniques, the text balances theoretical foundations and real-world implementation.


Special Issue

Special Issue
Author:
Publisher:
Total Pages: 132
Release: 1995
Genre: Nonlinear control theory
ISBN:

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Geometric Control of Mechanical Systems

Geometric Control of Mechanical Systems
Author: Francesco Bullo
Publisher: Springer
Total Pages: 727
Release: 2019-06-12
Genre: Science
ISBN: 1489972765

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The area of analysis and control of mechanical systems using differential geometry is flourishing. This book collects many results over the last decade and provides a comprehensive introduction to the area.


Nonlinear Control and Analytical Mechanics

Nonlinear Control and Analytical Mechanics
Author: Harry G. Kwatny
Publisher: Springer Science & Business Media
Total Pages: 338
Release: 2000-09-08
Genre: Computers
ISBN: 9780817641474

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During the past decade we have had to confront a series of control design prob lems - involving, primarily, multibody electro-mechanical systems - in which nonlinearity plays an essential role. Fortunately, the geometric theory of non linear control system analysis progressed substantially during the 1980s and 90s, providing crucial conceptual tools that addressed many of our needs. However, as any control systems engineer can attest, issues of modeling, computation, and implementation quickly become the dominant concerns in practice. The prob lems of interest to us present unique challenges because of the need to build and manipulate complex mathematical models for both the plant and controller. As a result, along with colleagues and students, we set out to develop computer algebra tools to facilitate model building, nonlinear control system design, and code generation, the latter for both numerical simulation and real time con an outgrowth of that continuing effort. As trol implementation. This book is a result, the unique features of the book includes an integrated treatment of nonlinear control and analytical mechanics and a set of symbolic computing software tools for modeling and control system design. By simultaneously considering both mechanics and control we achieve a fuller appreciation of the underlying geometric ideas and constructions that are common to both. Control theory has had a fruitful association with analytical mechanics from its birth in the late 19th century.