Practical Finite-Time Sampled-Data Output Feedback Stabilization for a Class of Upper-Triangular Nonlinear Systems With Input Delay

This article develops a global finite-time stabilization algorithm for a type of upper-triangular nonlinear systems, and the controlled system under consideration covers the input delay. A reduced-order observer (ROO) is established by relying on the sampled detection of the output to realize the state evaluation. By the stabilizer establishment method of backstepping, together with adding a power integral technique, a finite-time sampled-data stabilizer is established under output feedback framework, and with the aid of the proper Lyapunov–Krasovskii functionals (LKFs), the unstable dynamics covered in the existed delays can be efficiently restrained through the developed stabilizer with the reasonable design scalars and sampling period, the corresponding closed-loop system can be further regulated to meet practically finite-time stable in global sense. In the end, a simulation example for a circuit system is presented to check the raised algorithm.