控制理论与应用2012，Vol.29Issue(6)：708-714,7.
非匹配不确定高阶非线性系统的滑模控制新方法
New method of sliding-mode control for higher order nonlinear system with mismatched uncertainties
摘要
Abstract
For higher order nonlinear system with mismatched uncertainties, we propose a new higher order sliding-mode differentiator to obtain the arbitrary order estimates for the differential values of system states. The estimated value of proper orders of system states; the errors can be made arbitrary small. To avoid the singularity and chattering, we present two sliding-mode controller schemes with robust control terms to improve the system robustness. The system stability is proved by Lyapunov theorem. Compared with the existing methods, the proposed method has many advantages such as the wide application range for affine nonlinear systems, high convergence rate, high control precision, small calculation complexity, and low conservativeness, etc. Finally, simulation validates all conclusions.关键词
非匹配不确定/非线性/高阶滑模微分器/滑模/无抖振Key words
mismatched uncertainties/ nonlinear/ higher order sliding-mode differentiator/ sliding-mode/ chattering-free分类
信息技术与安全科学引用本文复制引用
蒲明,吴庆宪,姜长生,王宇飞..非匹配不确定高阶非线性系统的滑模控制新方法[J].控制理论与应用,2012,29(6):708-714,7.基金项目
国家自然科学基金资助项目(90716028,60974106). （90716028,60974106）
