Discrete-Time Sliding Mode Protocols for Discrete Multi-Agent System

This book presents few novel Discrete-time Sliding Mode (DSM) protocols for leader-following consensus of Discrete Multi-Agent Systems (DMASs). The protocols intend to achieve the consensus in finite time steps and also tackle the corresponding uncertainties. Based on the communication graph topology of multi-agent systems, the protocols are divided into two groups, namely (i) Fixed graph topology and (ii) Switching graph topology. The coverage begins with the design of Discrete-time Sliding Mode (DSM) protocols using Gao's reaching law and power rate reaching law for the synchronization of linear DMASs by using the exchange of information between the agents and the leader to achieve a common goal. Then, in a subsequent chapter, analysis for no. of fixed-time steps required for the leader-following consensus is presented. The book also includes chapters on the design of Discrete-time Higher-order Sliding Mode (DHSM) protocols, Event-triggered DSM protocols for the leader-followingconsensus of DMASs. A chapter is also included on the design of DHSM protocols for leader-following consensus of heterogeneous DMASs. Special emphasis is given to the practical implementation of each proposed DSM protocol for achieving leader-following consensus of helicopter systems, flexible joint robotic arms, and rigid joint robotic arms. This book offers a ready reference guide for graduate students and researchers working in the areas of control, automation, and communication engineering, and in particular the cooperative control of multi-agent systems. It will also benefit professional engineers working to design and implement robust controllers for power systems, autonomous vehicles, military surveillance, smartgrids/microgrids, vehicle traffic management, robotic teams, and aerial robots.

Autorentext

Keyurkumar Patel obtained his M.Tech. degree from Nirma University, Ahmedabad, in 2014. Currently, he is pursuing his Ph.D. degree at Institute of Infrastructure Technology Research and Management (IITRAM), Ahmedabad in the broad area of control and robotics. Prior to joining IITRAM, he has worked as an Assistant Professor at the SVBIT, Gujarat Technological University, from 2014 to 2016. He has also worked as an Engineer at Instrumentation Ltd., a PSU under the Ministry of Heavy Industry. His research interests include co-operative control of multi-agent systems, nonlinear sliding mode controls and observers, sliding mode control applications in electrical engineering, and networked control of multi-agent systems. He has published several research papers in peer-reviewed international journals and conference proceedings, and is an active student member of the IEEE. Axaykumar Mehta received the Ph.D. degree in 2009 from Indian Institute of Technology Bombay. He is currently an Associate Professor in Electrical Engineering at the Institute of Infrastructure Technology Research and Management, Ahmedabad. Prior to that, he was Director of Gujarat Power Engineering and Research Institute, Mehsana, Gujarat. He has published more than 88 research articles and book chapters in reputed journals, conference proceedings, and books. He has authored 3 monographs on sliding mode control and edited 3 conference proceedings with Springer Nature Singapore. He has also published 5 patents at the Indian Patent Office Mumbai. He is an advisor for the Design Lab project and Robotics museum at Gujarat Council on Science and Technology, Government of Gujarat. His research interests include networked sliding mode control, control of multi-agent systems and its applications. Dr. Mehta received the Pedagogical Innovation Award from Gujarat Technological University (GTU) in 2014, and Dewang Mehta National Education Award in 2018. He is a senior member of the IEEE, member of the IEEE Industrial Electronics Society (IES) and Control System Society (CSS), and a life member of the Indian Society for Technical Education (ISTE), Institute of Engineers India (IEI), and Systems Society of India (SSI).

Inhalt
Introduction.- Preliminaries of Sliding Mode Control and Graph Theory.- Discrete-time Sliding Mode Protocols for Leader-Following Consensus of Homogeneous Discrete Multi-Agent System with Fixed Graph Topology.- Discrete-time Sliding Mode Protocols for Leader-Following Consensus of Discrete Multi-Agent System with Switching Graph Topology.- Discrete-time Higher Order Sliding Mode Protocols for Leader-Following Consensus of Homogeneous Discrete Multi-Agent System.- Event-triggered Discrete-time Higher-order Sliding Mode Protocol for Leader-Following Consensus of Homogeneous DMAS.- Discrete-time Higher-Order Sliding Mode Protocol for Consensus of Leader-Following Heterogeneous Discrete Multi-Agent System.- Concluding remarks and future scope.