Admissible consensus and consensualization for singular multi-agent systems (Q6166849)

During the past two decades, consensus control of singular multi-agent systems has aroused many attentions and have been widely investigated by scholars due to its widely applications. Singular systems can describe more general physical systems than normal ones, such as earthquake damage prevention in buildings, water-floating plants and large-diameter parabolic antennae or telescopes, etc. Each agent in the singular multi-agent system usually has finite-dynamic modes, impulse modes and non-dynamic modes. Consequently, consensus problems of singular multi-agent systems are more complicated and challenging than those of normal multi-agent systems, where not only consensus, but also regularity and impulse-free property need to be considered simultaneously. This book studies the admissible consensus and consensualization problems for singular multi-agent systems, which is challenging and important in both theory and practice. The main methodology of the book is interesting such that the state of a singular multi-agent system is projected onto a consensus subspace and a complement consensus subspace via state space decomposition, and the explicit expressions of the consensus function are derived to describe the movement of the singular multi-agent system as a whole. In Chapters 1 and 2 of this book, the background and overview of the consensus and the related fundamental theory for the singular multi-agent systems are given. The admissible consensus and consensualization problems for high-order linear time-invariant singular multi-agent systems with switching interaction topologies and time delays are investigated in Chapters 3 and 4. The admissible consensus, stable-protocol admissible consensus and guaranteed-cost consensus problems are studied in Chapters 5--7. Chapter 8 extends the results of admissible consensus to the admissible formation tracking for singular multi-agent systems with the leader-following structure and the limited energy supply. Generally speaking, this book enriches the research on the consensus problems of singular multi-agent systems, which contains some published results of the authors in some well-known journals in the field of the cooperative control. It may be suitable to be utilized as the graduate textbook as well as a reference textbook for the researchers in this field. The reviewers hope that the current book will gain more and more readers and will benefit their research.