Fixed-time Adaptive Event-triggered Control for a Class of Uncertain Nonlinear Systems with Input Hysteresis

Fixed‐time event‐triggered consensus tracking control for uncertain nonlinear multiagent systems with dead‐zone constraint

“…Remark 3. As shown in Equations ( 25) and ( 26), The virtual control law 𝛼 i,1 consists of two parts (25) and (26). The reason for this design is to handle the unknown nonlinear gain f i,1 .…”

“…To fill this gap, fixed-time control, a special finite-time control method in which the convergence time is independent of the initial states, has received a lot of attention. [24][25][26][27][28][29][30][31][32] In Reference 28, the scholars investigated the fixed-time control scheme for first-order MASs, and it has been further applied to more complex second-order MASs 29,30 and general n-order MASs. 31,32 These methods can obtain a high convergence rate and eliminate the relationship between convergence time and initial states.…”

“…Unfortunately, the initial states are often unpredictable, which means that the convergence time is not available in advance. To fill this gap, fixed‐time control, a special finite‐time control method in which the convergence time is independent of the initial states, has received a lot of attention 24‐32 . In Reference 28, the scholars investigated the fixed‐time control scheme for first‐order MASs, and it has been further applied to more complex second‐order MASs 29,30 and general $$$ n $$$‐order MASs 31,32 .…”

Event‐triggered adaptive estimated inverse neural network control of uncertain nonlinear systems with unknown hysteresis effects

“…40 ETC has demonstrated success in controlling systems affected by hysteresis effects. [56][57][58][59] For instance, the effectiveness of ETC has been validated through the design of fixed-time adaptive control 56 and adaptive fuzzy fixed-time control, 60 highlighting the potential of ETC techniques in achieving improved control performance and addressing specific control challenges. However, the development of a suitable controller that integrates online estimated hysteresis inverse compensation and ETC for general nonlinear systems subjected to hysteresis nonlinearities, parametric uncertainties, and disturbances remains an open and active research topic.…”

“…Furthermore, it is recognized that compensating for hysteresis effects in the controller may impose additional computational demands 40 . ETC has demonstrated success in controlling systems affected by hysteresis effects 56–59 . For instance, the effectiveness of ETC has been validated through the design of fixed‐time adaptive control 56 and adaptive fuzzy fixed‐time control, 60 highlighting the potential of ETC techniques in achieving improved control performance and addressing specific control challenges.…”