Observer-Based Finite-Time Sampled-Data Control for a Class of Nonlinear Time-Delay Systems
针对非线性时滞系统，提出一种基于降阶观测器的有限时间采样数据稳定方案，利用加幂积分器技术设计输出反馈稳定器，使闭环系统在不确定时滞下实现全局实际有限时间稳定。
This article puts forward an observer-based finite-time sampled-data stabilization scheme for a nonlinear time-delay system. To overcome the difficulties of stabilizing such nonlinear system under consideration, a reduced-order observer, whose role lies in estimating unavailable states, is formulated by relying on detectable sampled output, subsequently, a finite-time sampled-data output-feedback stabilizer (FSOS), which possesses suitable scalars and sampling period, can be developed with the help of adding a power integrator (AAPI) technique, such stabilizer can drive the formulating closed-loop system to be globally practically finite-time stable (GPFS) in the presence of uncertain time delays, which requires to be verified by means of established Lyapunov-Krasovskii functionals (LKFs). The availability of the developed scheme can be reflected by two simulations in the end.