title: Guaranteed cost consensus protocol design for linear multi-agent systems with sampled-data information: An input delay approach.
abstract: To investigate the energy consumption involved in a sampled-data consensus process, the problem of guaranteed cost consensus for sampled-data linear multi-agent systems is considered. By using an input delay approach, an equivalent system is constructed to convert the guaranteed cost consensus problem to a guaranteed cost stabilization problem. A sufficient condition for guaranteed cost consensus is given in terms of linear matrix inequalities (LMIs), based on a refined time-dependent Lyapunov functional analysis. Reduced-order protocol design methodologies are proposed, with further discussions on determining sub-optimal protocol gain and enlarging allowable sampling interval bound made as a complement. Simulation results illustrate the effectiveness of the theoretical results.
authors.affiliation: Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, PR China; Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai 200240, PR China. Electronic address: ydzhao@outlook.com.
authors.forename: Yadong
authors.initials: Y
authors.lastname: Zhao
authors.affiliation: Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, PR China; Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai 200240, PR China. Electronic address: wdzhang@sjtu.edu.cn.
authors.forename: Weidong
authors.initials: W
authors.lastname: Zhang
keywords: Consensus control; Guaranteed cost control; Linear matrix inequality; Multi-agent systems; Sampled-data control