Zhao Yadong, Zhang Weidong
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.
ISA Trans. 2017 Mar;67:87-97. doi: 10.1016/j.isatra.2016.12.003. Epub 2016 Dec 23.
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.
为了研究采样数据一致性过程中的能量消耗问题，考虑了采样数据线性多智能体系统的保成本一致性问题。通过采用输入延迟方法，构造了一个等效系统，将保成本一致性问题转化为保成本镇定问题。基于精细的时变Lyapunov泛函分析，以线性矩阵不等式（LMI）的形式给出了保成本一致性的充分条件。提出了降阶协议设计方法，并作为补充进一步讨论了确定次优协议增益和扩大允许采样间隔界限的问题。仿真结果验证了理论结果的有效性。
