未知死区输入高阶关联大系统的全局稳定分散控制

Global Stable Decentralized Control of High-order Connective Large-scale Systems with Unknown Nonlinear Dead-zone

针对一类具有未知非线性死区输入的高阶关联大系统,设计了一种新的分散控制方法。该方法基于模糊滑模控制原理,确保所设计的分散控制器能使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。Lyapunov稳定理论分析证明了闭环系统的全局稳定性,跟踪误差收敛到零,并且给出了全局一致终结有界的相关界。仿真结果表明了所设计方法的有效性。

This paper develops a new decentralized control for a class of high-order correlative large-scale nonlinear systems with unknown nonlinear dead-zone input. Based on the fuzzy sliding mode control theorem, this method can guarantee every subsystem＇s controller of the interconnection large-scale system to be designed only with the information of itself and really realizes the decentralized control. Lyapunov stability theorem proves the global stability of the closed-loop system with the tracking error converging to zero; the global uniform ultimate boundary is given finally. The simulation results are performed to demonstrate the effectiveness of the proposed method.