Homogeneous nonlinear event-triggered extended state observers for uncertain MIMO random systems

• Published in: Communications in nonlinear science & numerical simulation Vol. 148; p. 108827
• Main Authors: Xiao, Zijian, Liu, Xiaohua, Wu, Ze-Hao, Zeng, Pengyu, Liang, Zhongwen
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.09.2025
• Subjects: Colored noise; Event-triggering mechanism; Extended state observer; Multi-input multi-output random systems; State estimation; Extended state observer; State estimation; Colored noise; Multi-input multi-output random systems; Event-triggering mechanism
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2025.108827

In this paper, homogeneous nonlinear event-triggered extended state observers (ESOs) constructed from finite-time stable systems are designed for a class of uncertain multi-input multi-output (MIMO) random systems. Each subsystem is subject to the nonlinear coupling effect of nonlinear unmodeled dynamics, bounded noise, and colored noise, which is regarded as the random total disturbance. An event generator with a guaranteed positive minimum inter-execution time for every sample path solution of the random systems, is developed for the design of homogeneous nonlinear event-triggered ESO for each subsystem. The almost sure convergence of estimation errors of unmeasurable states and random total disturbance of each subsystem is demonstrated with a rigorous theoretical proof. Some numerical simulations are provided to authenticate the theoretical result. •Homogeneous nonlinear event-triggered extended state observers constructed from finite-time stable systems are designed for a class of uncertain MIMO random systems, which aim at improving estimation accuracy and saving communication/computation resources.•Each subsystem of the uncertain MIMO random systems is subject to large-scale random total disturbance including the nonlinear coupling effect of unknown dynamics between subsystems, bounded noises, and colored noises.