Stabilization and Synchronization via Adaptive Control for Uncertain Linear Systems
Juan Qian, Daniele Astolfi, Vincent Andrieu, Giacomo Casadei, Xiaoling Wang, Guoping Jiang · IFAC-PapersOnLine · 2025
This paper revisits the adaptive stabilization of linear uncertain systems and develops the analysis to multi-agent network frameworks. Firstly, by adopting a more general stabilizing direction and introducing a sigma modification based control design, a robust adaptation law is demonstrated to effectively handle uncertainties in the model. To enable a more flexible adaptation law design, the cancellation constraint associated with a key matrix therein is relaxed. Additionally, a novel Lyapunov function is constructed to establish sufficient conditions for stability, which are crucial for ensuring robust synchronization in multi-agent systems. Finally, a simulation example is provided to validate the proposed approach, highlighting its novelty and practical effectiveness.