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不相称分数阶Genesio-Tesi系统的有限时间自适应滑模同步
Finite time adaptive sliding mode synchronization of incommensurate fractional order Genesio-Tesi systems
【摘要】 针对含有未知扰动和不确定项的不相称分数阶Genesio-Tesi系统的有限时间同步问题,设计一种新的估计外部未知扰动和不确定项的分数阶有限时间扰动观测器,并构建合适的分数阶滑模面及其相应的自适应滑模控制器,以实现具有不同初始条件的分数阶Genesio-Tesi系统的有限时间自适应滑模同步. MATLAB数值仿真结果表明,所设计的分数阶扰动观测器和自适应滑模控制器是有效且可行的.
【Abstract】 Aiming at the finite time synchronization problem of incommensurate fractional order Genesio-Tesi systems with unknown disturbances and uncertainties, a new fractional order finite time disturbance observer is designed to estimate external unknown disturbances and uncertainties. A suitable fractional order sliding mode surface and corresponding adaptive sliding mode controller are constructed to achieve finite time adaptive sliding mode synchronization of fractional order Genesio-Tesi systems with different initial conditions. The MATLAB numerical simulation results show that the designed fractional order disturbance observer and adaptive sliding mode controller are effective and feasible.
【Key words】 chaos synchronization; sliding mode control; disturbance observer; finite time;
- 【文献出处】 扬州大学学报(自然科学版) ,Journal of Yangzhou University(Natural Science Edition) , 编辑部邮箱 ,2023年03期
- 【分类号】TP273
- 【下载频次】17