Finite-Time Boundedness of Interconnected System Using Decentralized Output-Feedback Sliding Mode Control

This work investigates the problem of decentralized output-feedback sliding mode control (SMC) for a class of large-scale systems under the requirement of finite-time boundedness (FTB). The regular form of sliding mode based on coordinate transformation, instead of the equivalent control method, is utilized to analyze the global FTB over both the reaching and sliding phases. Moreover, time-varying bounds of states over the operating interval are obtained, which is essential for the design of decentralized output-feedback SMC law to guarantee the reachability of the predesigned sliding surfaces within any given finite time. Further, a feasible solving algorithm based on a binary genetic algorithm is proposed to decouple the interconnection terms and optimize the FTB performance. Finally, a numerical example is given to verify the effectiveness of the proposed method.