Cooperative Control of Dynamical 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.

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.

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Smart Grid Control Jakob Stoustrup, Anuradha Annaswamy, Aranya Chakrabortty, Zhihua Qu

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