一种离散模糊滑模边界层自适应的消抖方法

摘要

在离散滑模控制中抖振非常常见。针对一类离散非线性系统的滑模控制抖振问题，在连续系统边界层自适应方法的基础上，提出一种带边界层自适应的近似滑模模糊逻辑控制方法。首先通过一定的自适应律对滑模边界层参数进行在线调整，然后将边界层自适应的SMC应用到模糊逻辑控制逼近实现中，使抖振得以削弱，且系统非线性动态不需要已知其上边界，使得整个闭环系统具有较强的鲁棒性、稳定性和自适应性等优点。仿真验证了该方法的正确性和优越性。%In discrete sliding mode control, chattering phenomenon is very common. For solving chattering problem of sliding mode control for discrete nonlinear system, on the basis of boundary layer adaptive method of continuous systems, the sliding mode like fuzzy logic control method is proposed. Firstly, online adjustment of boundary layer parameters is conducted through certain adaptive laws;then the SMC with boundary layer adaptation is applied in fuzzy logic control approximation implementation. Thus the chattering can be weakened, while, the entire closed loop system offers stronger robust stability and adaptation. The correctness and superiority of this method are verified by simulation.