Cooperative Control of Dynamical Systems

Autonomous vehicle systems are becoming an important fact of modern life. This book covers the control design issues in the cooperative control of multiple vehicles, including new results on feedback stabilization and smooth control of nonholonomic systems.

Stability theory has allowed us to study both qualitative and quantitative properties of dynamical systems, and control theory has played a key role in designing numerous systems. Contemporary sensing and communication n- works enable collection and subscription of geographically-distributed inf- mation and such information can be used to enhance signi?cantly the perf- manceofmanyofexisting systems. Throughasharedsensing/communication network,heterogeneoussystemscannowbecontrolledtooperaterobustlyand autonomously; cooperative control is to make the systems act as one group and exhibit certain cooperative behavior, and it must be pliable to physical and environmental constraints as well as be robust to intermittency, latency and changing patterns of the information ?ow in the network. This book attempts to provide a detailed coverage on the tools of and the results on analyzing and synthesizing cooperative systems. Dynamical systems under consideration can be either continuous-time or discrete-time, either linear or non-linear, and either unconstrained or constrained. Technical contents of the book are divided into three parts. The ?rst part consists of Chapters 1, 2, and 4. Chapter 1 provides an overview of coope- tive behaviors, kinematical and dynamical modeling approaches, and typical vehicle models. Chapter 2 contains a review of standard analysis and design tools in both linear control theory and non-linear control theory. Chapter 4 is a focused treatment of non-negativematrices and their properties,multipli- tive sequence convergence of non-negative and row-stochastic matrices, and the presence of these matrices and sequences in linear cooperative systems.

Shows the reader a number of new methods and results for collision avoidance, tracking and cooperative control Builds the technical presentation from open-loop control in single-vehicle systems to closed, real-time implementation in multi-vehicle situations Demonstrates successful feedback stabilization and smooth control for non-holonomic systems Includes supplementary material: sn.pub/extras

Autorentext

Dr. Qu's areas of expertise are non-linear systems theory, non-linear robust control, various advanced control methodologies, robotics and other areas of control applications. Dr. Qu is the author of two books, Robust Control Design for Nonlinear Uncertain Systems by John Wiley Interscience (1998) and Robust Tracking Control of Robot Manipulators by IEEE Press (1996). His publications also include over 100 archival journal papers and about 200 book chapters and conference articles. His research has been supported by governmental agencies (NSF, AFOSR, NASA) and industry, and the funding he received exceeds 3 million. Dr. Qu is a senior member of IEEE and currently serving as Associate Editor for Automatica and for International Journal of Robotics and Automation.

Klappentext

Whether providing automated passenger transport systems, exploring the hostile depths of the ocean or assisting soldiers in battle, autonomous vehicle systems are becoming an important fact of modern life. Distributed sensing and communication networks allow neighboring vehicles to share information autonomously, to interact with an operator, and to coordinate their motion to exhibit certain cooperative behaviors. The less structured the operating environment and the more changes the vehicle network experiences, the more difficult to grapple with problems of control become.

Cooperative Control of Dynamical Systems begins with a concise overview of cooperative behaviors and the modeling of constrained non-linear dynamical systems like ground, aerial, and underwater vehicles. A review of useful concepts from system theory is included. New results on cooperative control of linear and non-linear systems and on control of individual non-holonomic systems are presented. Control design in autonomous-vehicle applications moves evenly from open-loop steering control and feedback stabilization of an individual vehicle to cooperative control of multiple vehicles. This progression culminates in a decentralized control hierarchy requiring only local feedback information.

A number of novel methods are presented: parameterisation for collision avoidance and real-time optimisation in path planning; near optimal tracking and regulation control of non-holonomic chained systems; the matrix-theoretical approach to cooperative stability analysis of linear networked systems; the comparative argument of Lyapunov function components for analysing non-linear cooperative systems; and cooperative control designs. These methods are used to generate solutions of guaranteed performance for the fundamental problems of:

• optimised collision-free path planning;

• near-optimal stabilization of non-holonomic systems; and

• cooperativecontrol of heterogenous dynamical systems, including non-holonomic systems.

Examples, simulations and comparative studies bring immediacy to the fundamental issues while illustrating the theoretical foundations and the technical approaches and verifying the performance of the final control designs.

Researchers studying non-linear systems, control of networked systems, or mobile robot systems will find the wealth of new methods and solutions laid out in this book to be of great interest to their work. Engineers designing and building autonomous vehicles will also benefit from these ideas, and students will find this a valuable reference.

Inhalt
Preliminaries on Systems Theory.- Control of Non-holonomic Systems.- Matrix Theory for Cooperative Systems.- Cooperative Control of Linear Systems.- Cooperative Control of Non-linear Systems.