Synchronization of Singularly Perturbed Systems with Time Scales
For control engineers dealing with multi-time-scale systems, this work provides a method to achieve synchronization, though it is an incremental extension of existing SPaTS techniques.
The paper addresses synchronization of singularly perturbed systems using time-scale decomposition, proposing a composite control protocol that asymptotically synchronizes followers to a leader. Effectiveness is verified through aircraft formation flying examples.
Synchronization problems of continuous and discrete singularly perturbed systems are studied in this paper with singular perturbations and time scales (SPaTS) technique. The dynamics of leader and followers are decomposed into pure-slow and pure-fast subsystems. Locally optimal decentralized tracking sub-controllers are synthesized respectively to asymptotically synchronize each subsystem of follower. A composite control protocol is proposed to synchronize the original dynamics of each follower with the leader's dynamics. Both analogous and digital flight control systems for aircraft formation flying are utilized to verify the effectiveness of the control schemes.