1st Edition

Autonomous Underwater Vehicles Modeling, Control Design and Simulation

By Sabiha Wadoo, Pushkin Kachroo Copyright 2011
    165 Pages 63 B/W Illustrations
    by CRC Press

    Underwater vehicles present some difficult and very particular control system design problems. These are often the result of nonlinear dynamics and uncertain models, as well as the presence of sometimes unforeseeable environmental disturbances that are difficult to measure or estimate.

    Autonomous Underwater Vehicles: Modeling, Control Design, and Simulation outlines a novel approach to help readers develop models to simulate feedback controllers for motion planning and design. The book combines useful information on both kinematic and dynamic nonlinear feedback control models, providing simulation results and other essential information, giving readers a truly unique and all-encompassing new perspective on design.

    Includes MATLAB® Simulations to Illustrate Concepts and Enhance Understanding

    Starting with an introductory overview, the book offers examples of underwater vehicle construction, exploring kinematic fundamentals, problem formulation, and controllability, among other key topics. Particularly valuable to researchers is the book’s detailed coverage of mathematical analysis as it applies to controllability, motion planning, feedback, modeling, and other concepts involved in nonlinear control design. Throughout, the authors reinforce the implicit goal in underwater vehicle design—to stabilize and make the vehicle follow a trajectory precisely.

    Fundamentally nonlinear in nature, the dynamics of AUVs present a difficult control system design problem which cannot be easily accommodated by traditional linear design methodologies. The results presented here can be extended to obtain advanced control strategies and design schemes not only for autonomous underwater vehicles but also for other similar problems in the area of nonlinear control.

    Introduction

    Overview

    Examples of Underwater Vehicles Construction

    Vehicle Kinematics Fundamentals

    Lie Groups and Lie Algebras

    Problem Formulation and Examples

    Motion Planning of Nonholonomic Systems

    Nonholonomic Constraints

    Problem Description

    Control Model Formulation

    Controllability Issues

    Stabilization

    Examples of Nonholonomic Systems

    Mathematical Modeling and Controllability Analysis

    Mathematical Modeling

    Controllability Analysis

    Chained Forms

    Control Design Using the Kinematic Model

    Trajectory Tracking and Controller Design for the Chained Form

    Reference Trajectory Generation

    Control Using Approximate Linearization

    Control Using Exact Feedback Linearization via State and Input Transformations

    Point-to-Point Stabilization

    Control Design Using the Dynamic Model

    Dynamic Modeling

    Point-to-Point Stabilization Control Design

    Robust Feedback Control Design

    Robust Control Using the Kinematic Model

    Robust Control Using the Dynamic Model

    Biography

    Sabiha Wadoo, Ph.D, received a BE degree in electrical engineering from the Regional Engineering College, Kashmir, India, in 2001, and an MS degree in electrical engineering, an MS degree in mathematics, and a Ph.D degree in electrical engineering from Virginia Polytechnic Institute and State University (Virginia Tech), Blacksburg, in 2003, 2005, and 2007, respectively. Since 2007, she has been with the New York Institute of Technology, Old Westbury, New York, where she is an assistant professor with the Department of Electrical and Computer Engineering. Her research interests are in the areas of feedback control of nonlinear control systems, nonlinear control system abstraction, and feedback control of distributed parameter systems.

    Pushkin Kachroo, Ph.D, received a BTech degree in civil engineering from the Indian Institute of Technology, Bombay, India, in 1988, an MS degree in mechanical engineering from Rice University, Houston, Texas, in 1990, a Ph.D degree in mechanical engineering from the University of California, Berkeley, in 1993, and MS and Ph.D degrees in mathematics from Virginia Polytechnic Institute and State University (Virginia Tech), Blacksburg, in 2004 and 2007, respectively. He is the director of the Transportation Research Center, Harry Reid Center for Environmental Studies, Las Vegas, Nevada, and a professor with the Department of Electrical and Computer Engineering, University of Nevada, Las Vegas.