不确定统一混沌系统平衡点的渐近稳定
Asymptotic stability of equilibrium points of uncertain unified chaotic systems

研究不确定统一混沌系统平衡点的渐近稳定问题. 利用滑模控制理论, 给出了此类系统的滑模控制器的设计新 方法和控制律算法. 该控制器使得误差空间任一点出发的运动都在有限时间到达滑动模态, 并沿切换面渐近到达原点, 以达到将统一混沌系统控制到平衡点的目的. 与现有文献所得结论相比, 该文所设计的控制器算法具有抖振小, 平稳性 好和保守性小等优点. 运动方程分析和仿真结果都验证了结论的有效性.
We investigate the asymptotic stability problem of uncertain unified chaotic systems. Using sliding-mode control theory, we develop a new method for designing the sliding-mode controller and its related control law for this type of systems. This controller can make the movement starting from any point in the error space to enter the sliding mode in a finite time and asymptotically reach the origin on the switching surface, thus, driving the uncertain unified chaotic system to the equilibrium point. Compared with the existing controllers, the designed one exhibits many advantages, such as small chattering, good stability and less conservative. The analysis of the motion equation and the simulation results demonstrate that this method is effective.