燕山大学学报2025，Vol.49Issue(1)：10-21,94,13.DOI:10.3969/j.issn.1007-791X.2025.01.002
饱和、量化和斜率限制输入下二维非线性时滞系统的控制
Control for two dimensional nonlinear systems with time delays under saturation,quantification and slope restriction inputs
摘要
Abstract
The state feedback strategy with multiple constrained input signals is studied to deal with the control problem of two-dimensional nonlinear discrete systems with time-varying delays.The multiple constrained inputs include slope restriction,quantization,and generalized nonlinearity associated with actuator overflow.New local stability criteria for state feedback control is established by limiting intrinsic nonlinearities to generalized nonlinearities satisfying one-sided Lipschitz and bounded regions.Furthermore,the weighted summation inequalities are proposed to deal with the finite sum terms appearing in the Lyapunov-Krasovskii functionals difference process.It is well known that the results presented here are novel for two-dimensional nonlinear discrete systems with time-varying delays.A numerical example is given to prove the effectiveness of the designed method.关键词
时变时滞/非线性/多重约束输入/加权求和不等式/状态反馈控制Key words
time-varying delays/nonlinearities/multiple constrained input/weighted summation inequality/state feedback control分类
计算机与自动化引用本文复制引用
彭丹,李梦鑫..饱和、量化和斜率限制输入下二维非线性时滞系统的控制[J].燕山大学学报,2025,49(1):10-21,94,13.基金项目
河北省自然科学基金资助项目(F2022203085) （F2022203085）
国家自然科学基金重点项目(U20A20187) （U20A20187）
国家杰出青年科学基金资助项目(6182500417) （6182500417）
