一类高阶关联大系统的分散自适应模糊控制

Decentralized Adaptive Fuzzy Control for a Class of Large-scale Systems with Higher Order Interconnections

针对一类关联项的上界是系统全状态的普通高阶多项式的关联大系统,设计了一种新的分散自适应模糊控制方法。该方法通过对关联项的处理,使得各个子系统仅根据自己的信息就能确定相应的控制量,真正实现分散控制。基于Lyapunov稳定理论,分析证明了闭环系统半全局一致终结有界。仿真结果表明了所设计方法的有效性。

In this paper, it develops a novel decentralized adaptive fuzzy control for a class of large-scale nonlinear systems with higher order interconnections; the upper bounds of the interconnections are normal higher order polynomial functions of the whole state variables. The assumption that the differential coefficient of the unknown control gain function be bounded is canceled~ also, via dealing with the interconnections, the controller of every subsystem can be designed only with the information of itself, the true decentralized control is realized finally. Based on Lyapunov stability theorem, the closed-loop system is proved to be semi-globally uniformly ultimately bounded. The simulation results are performed to demonstrate the effectiveness of the proposed method.