2016/07/27 by Lantao Xing, Changyun Wen, Zhitao Liu +2 · 1,541 citations
Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #Adaptive control #Advanced Control Systems Optimization #Artificial intelligence #Bounded function #Class (philosophy) #Computer science #Control (management) #Control theory (sociology) #Controller (irrigation) #Event (particle physics) #Exponential stability #Lipschitz continuity #Mathematical optimization #Mathematics #Nonlinear system #Set (abstract data type) #Stability (learning theory) #Stability and Control of Uncertain Systems #Tracking error
paper · doi:10.1109/tac.2016.2594204
published in IEEE Transactions on Automatic Control 62(4), 2071-2076 (Institute of Electrical and Electronics Engineers)
openalex publication_date 2016/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
In this technical note, the problem of event-trigger based adaptive control for a class of uncertain nonlinear systems is considered. The nonlinearities of the system are not required to be globally Lipschitz. Since the system contains unknown parameters, it is a difficult task to check the assumption of the input-to-state stability (ISS) with respect to the measurement errors, which is required in most existing literature. To solve this problem, we design both the adaptive controller and the triggering event at the same time such that the ISS assumption is no longer needed. In addition to presenting new design methodologies based on the fixed threshold strategy and relative threshold strategy, we also propose a new strategy named the switching threshold strategy. It is shown that the proposed control schemes guarantee that all the closed-loop signals are globally bounded and the tracking/stabilization error exponentially converges towards a compact set which is adjustable.