一类非线性互联系统的间接自适应模糊滑模跟踪控制

基于模糊逻辑逼近原理,针对非线性动态未知互联系统,设计一种新的模糊分散控制 器.讨论了互联项满足或不满足一般性约束条件的两种情形,用不同方法来补偿其对大系统的影 响.同时利用模式转换函数来实现间接自适应控制与模糊滑模控制之间的转换,使系统的状态在 有界闭集内变化,并依据Lyapunov方法证明了闭环系统稳定,跟踪误差收敛到零的一个小邻域 内.仿真结果证明所设计的模糊控制器的有效性.

Fuzzy Indirect Adaptive Sliding Mode Tracking Control for a Class of Nonlinear Interconnected Systems

Based on fuzzy logic approximation principle, a new fuzzy decentralized controller is designed for a class of nonlinear interconnected systems with unknown dynamics. Two cases are discussed, i.e., whether or not the interconnected terms satisfy certain general restrict conditions. Different methods are adopted to counteract the affection of the interconnected terms to the whole system. The mode transformation function is used to realize the changing between the fuzzy indirect adaptive controller and fuzzy sliding mode controller, which keeps the state of the system changing in a close bounded set. By using Lyapunov method, it is proved that the close-loop system is stable and the tracking errors converge to a neighborhood of zero. The result of the emulation proves the validation of the designed controllers.