Finite-time fuzzy output-feedback control for $ p $-norm stochastic nonlinear systems with output constraints

AIMS Mathematics

Liandi Fang¹  Li Ma²  Shihong Ding² 

[1] 1. School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, 212013, China 2. College of Mathematics and Computer Science, Tongling University, Tongling, 244000, China;1. School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, 212013, China;

关键词: finite-time control;    stochastic nonlinear systems;    output constraint;    output-feedback controller;    barrier lyapunov function;   

DOI  :  10.3934/math.2021136

来源: DOAJ

【 摘 要 】

This paper investigates the finite-time control problem of p-norm stochastic nonlinear systems subject to output constraint. Combining a tan-type barrier Lyapunov function (BLF) with the adding a power integrator technique, a fuzzy state-feedback controller is constructed. Then, an output-feedback controller design scheme is developed by the constructed state-feedback controller and a reduce-order observer. Finally, both the rigorous analysis and the simulation results demonstrate that the designed output-feedback controller not only guarantees that the output constraint is not violated, but also ensures that the system is semi-global finite-time stable in probability (SGFSP).

【 授权许可】

Unknown