Sampled-Data $\mathcal {L}_{2}-\mathcal {L}_{\infty }$ Consensus Control of Nonlinear Multi-Agent Systems

• Main Authors: Muyun Fang, Xiao Li, Chengyan Sang, Jianping Zhou
• Format: Article
• Language: English
• Published: IEEE 2017-01-01
• Series: IEEE Access
• Subjects: Input/output delay approach; <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">L</italic>₂ – <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">L</italic>∞ control; multi-agent system; sampled-data control
• Online Access: https://ieeexplore.ieee.org/document/8113475/

The problem of sampled-data L₂ - L_&#x221E; consensus control for the multi-agent systems with nonlinear dynamics and external disturbances is investigated via dynamic output feedback (DOF) strategy. Both the control input and the measured output are sampled. By employing the input/output delay approach, the multi-agent system with sampled-data DOF control protocol is transformed into the closed-loop system with bounded time-varying delays. Then, by using matrix theory, graph theory, Lyapunov stability theory, and some decoupling methods, sufficient conditions for the sampled-data L₂ - L_&#x221E; consensus of the closed-loop system are derived under fixed and switching topologies, respectively. The desired gains can be obtained by solving a set of linear matrix inequalities. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed DOF control protocol.