This volume is the first to present a unified perspective on the control of underactuated mechanical systems. Based on real-time implementation of parameter identification, this book provides a variety of algorithms for the Furuta pendulum and the inertia wheel pendulum, which are two-degrees-of-freedom mechanical systems. Specifically, this work addresses and solves the problem of motion control via trajectory tracking in one joint coordinate while another joint is regulated. Besides, discussions on extensions to higher degrees-of-freedom systems are given. The book, aimed at control engineers as well as graduate students, ranges from the problem of parameter identification of the studied systems to the practical implementation of sophisticated motion control algorithms. Offering real-world solutions to manage the control of underactuated systems, this book provides a concise tutorial on recent breakthroughs in the field, original procedures to achieve bounding of the error trajectories, convergence and gain tuning guidelines.

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.

In this book, we collected recent results on the control of underactuated mechanical systems subject to internal uncertainties and external disturbances. The strategy developed is so universal that it is not restricted to a specific system but a large class of underactuated systems. Several benchmark systems are studied in this book, including detailed literature review, system dynamics derivation, control problem formulation, and simulation verification. The control strategy developed in chapter 4 is able to stabilize all these benchmark systems with satisfactory performance regardless of the underactuated dynamics and various uncertainties. The book is written as a text suitable for graduate students in the advanced course for the control of underactuated systems. It also provides valuable tools for researchers and practicing engineers working on the control of underactuated mechanical systems.

Most ocean vessels are underactuated but control of their motion in the real ocean environment is essential. Starting with a review of the background on ocean-vessel dynamics and nonlinear control theory, the authors’ systematic approach is based on various nontrivial coordinate transformations coupled with advanced nonlinear control design methods. This strategy is then used for the development and analysis of a number of ocean-vessel control systems with the aim of achieving advanced motion control tasks including stabilization, trajectory-tracking, path-tracking and path-following. Control of Ships and Underwater Vehicles offers the reader: - new results in the nonlinear control of underactuated ocean vessels; - efficient designs for the implementation of controllers on underactuated ocean vessels; - numerical simulations and real-time implementations of the control systems designed on a scale-model ship for each controller developed to illustrate their effectiveness and afford practical guidance.

Focusing on the important control problems in state-of-the-art robotics and automation, this volume features invited papers from a workshop held at CDC, San Diego, California. As well as looking at current problems, it aims to identify and discuss challenging issues that are yet to be solved but which will be vital to future research directions. The many topics covered include: automatic control, distributed multi-agent control, multirobots, dexterous hands, flexible manipulators, walking robots, free-floating systems, nonholonomic robots, sensor fusion, fuzzy control, virtual reality, visual servoing, and task synchronization. Control Problems in Robotics and Automation will be of interest to all researchers, scientists and graduate students who wish to broaden their knowledge in robotics and automation and prepare themselves to address and resolve the control problems that will be faced in this field as we enter the twenty-first century.

This book investigates in detail cutting-edge technologies of underactuated manipulator control, which is a frontier topic in robotics that possesses great significance in energy conservation as well as fault tolerance for industrial applications. It is also the crucial technology associated with systems in special environments, including underwater or aerospace environments. So far, the topic of underactuated manipulator control has attracted engineers and scientists from various disciplines, such as applied physics, material, automation and robotics. Pursuing a holistic approach, the book establishes a fundamental framework for this topic, while emphasizing the importance of design and optimization in the control of underactuated manipulators. Chapters of the book cover a wide variety of manipulator systems, including vertical underactuated manipulator, planar underactuated manipulator with first-order nonholonomic constraint, planar underactuated manipulator with second-order nonholonomic constraint and flexible underactuated manipulator. The book is intended for undergraduate and graduate students that are interested in underactuated manipulators, researchers that investigate the design and optimization for controllers of underactuated manipulators and engineers working with underactuated systems.

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.