Block Backstepping Design Of Nonlinear State Feedback Control Law For Underactuated Mechanical Systems

This book presents a novel, generalized approach to the design of nonlinear state feedback control laws for a large class of underactuated mechanical systems based on application of the block backstepping method. The control law proposed here is robust against the effects of model uncertainty in dynamic and steady-state performance and addresses the issue of asymptotic stabilization for the class of underactuated mechanical systems. An underactuated system is defined as one for which the dimension of space spanned by the configuration vector is greater than that of the space spanned by the control variables. Control problems concerning underactuated systems currently represent an active field of research due to their broad range of applications in robotics, aerospace, and marine contexts. The book derives a generalized theory of block backstepping control design for underactuated mechanical systems, and examines several case studies that cover interesting examples of underactuated mechanical systems. The mathematical derivations are described using well-known notations and simple algebra, without the need for any special previous background in higher mathematics. The chapters are lucidly described in a systematic manner, starting with control system preliminaries and moving on to a generalized description of the block backstepping method, before turning to several case studies. Simulation and experimental results are also provided to aid in reader comprehension.

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.

Backstepping Control of Nonlinear Dynamical Systems addresses both the fundamentals of backstepping control and advances in the field. The latest techniques explored include ‘active backstepping control’, ‘adaptive backstepping control’, ‘fuzzy backstepping control’ and ‘adaptive fuzzy backstepping control’. The reference book provides numerous simulations using MATLAB and circuit design. These illustrate the main results of theory and applications of backstepping control of nonlinear control systems. Backstepping control encompasses varied aspects of mechanical engineering and has many different applications within the field. For example, the book covers aspects related to robot manipulators, aircraft flight control systems, power systems, mechanical systems, biological systems and chaotic systems. This multifaceted view of subject areas means that this useful reference resource will be ideal for a large cross section of the mechanical engineering community. Details the real-world applications of backstepping control Gives an up-to-date insight into the theory, uses and application of backstepping control Bridges the gaps for different fields of engineering, including mechanical engineering, aeronautical engineering, electrical engineering, communications engineering, robotics and biomedical instrumentation

After successful organization of the "National Seminar on Energy Science and Engineering, 2013 (NSESE-2013)" during November, 2013, Tripura Institute of Technology, Narsingarh, Tripura (West) has organized the second "National Conference on Recent Trends in Engineering and Technology, 2017 (NCRTET-2017)" during March 17-18, 2017. The seminar aimed to provide an opportunity for academicians and researchers in India to discuss the divergent issues related to recent trends in engineering and technology covering all aspects on one platform so as to critically examine the ongoing/current research and derive directions for future research strategies and policy implications. As a mark of remembrance, a souvenir was published on this occasion. The conference has received enormous response in the form of technical papers and research contributions from various authors across the country. In total, 55 numbers of technical papers related to different engineering domain were accepted for oral presentation. Four invited papers from renowned faculty members of our country were also presented on the occasion. We are also happy to keep our commitment of publishing a conference proceeding with ISBN through a prestigious publisher having all accepted full length papers.

This book is a collection of high-quality research articles. The book includes topics specific to the emerging areas of control for robotic systems, wireless communication, and development of embedded systems for robotic applications. The book integrates three important aspects of automation, namely (i) communication, (ii) control, and (iii) embedded design for robotic applications. This book is unique as it provides a unified framework for analysis, design, and deployment of the robotic applications across various engineering and non-engineering disciplines including the three primary aspects mentioned above. Furthermore, the emerging research and development work pertaining to the deployment of intelligent, nonlinear, and embedded control for robotic system for non-standard operating environment due to the widespread application of robotics technology for societal benefit is also a focal point of the book.

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. Contents:IntroductionPreliminariesUnderactuated System Dynamics and Coordinate TransformationController DesignCart Pole SystemOverhead CranesTORA SystemRotary Inverted PendulumVibration AbsorberPendubotBibliographyIndex Readership: Graduate students, researchers, and academics in control engineering, mechanical engineering, electrical & electronic engineering, and optimization and control theory. Keywords:Adaptive Control;Underactuated Systems;Approximation Technique

This unique book presents an analytical uniform design methodology of continuous-time or discrete-time nonlinear control system design which guarantees desired transient performances in the presence of plant parameter variations and unknown external disturbances. All results are illustrated with numerical simulations, their practical importance is highlighted, and they may be used for real-time control system design in robotics, mechatronics, chemical reactors, electrical and electro-mechanical systems as well as aircraft control systems. The book is easy reading and is suitable for teaching.

V VII X Table of Contents Table of Contents XI XII Table of Contents A. Taware and G. Tao: Control of Sandwich Nonlinear Systems, LNCIS 288, pp. 1-8, 2003. Springer-Verlag Berlin Heidelberg 2003 A. Taware and G. Tao: Control of Sandwich Nonlinear Systems, LNCIS 288, pp. 9-16, 2003. Springer-Verlag Berlin Heidelberg 2003 x(t), pilot valve piston position Return Pressure Source Return Load M, b y(t) A. Taware and G. Tao: Control of Sandwich Nonlinear Systems, LNCIS 288, pp. 17-28, 2003. Springer-Verlag Berlin Heidelberg 2003 load displacement, y(t) 3 2 1 0 ?1 ?2 ?3 0 10 20 30 40 50 60 70 80 90 100 solid?without DZ, dotted? with DZ Load displacement, y(t) 0.4 0.2 0 ?0.2 ?0.4 ?0.6 ?0.8 10 20 30 40 50 60 70 80 90 100 solid?without DZ, dotted?with DZ, dashdot?compensated Load displacement, y(t) 3 2 1 0 ?1 ?2 ?3 0 10 20 30 40 50 60 70 80 90 100 Control input, x(t) 0.8 0.6 0.4 0.2 0 ?0.2 ?0.4 ?0.6 0 10 20 30 40 50 60 70 80 90 100 solid?without DZ, dotted?with DZ, dashdot?compensated Load displacement, y(t) 0.6 0.4 0.2 0 ?0.2 ?0.4 ?0.6 ?0.8 0 10 20 30 40 50 60 70 80 90 100 solid?without DZ, dotted?with DZ, dashdot?compensated A. Taware and G. Tao: Control of Sandwich Nonlinear Systems, LNCIS 288, pp. 29-54, 2003. Springer-Verlag Berlin Heidelberg 2003