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为了解决高阶SISO(单输入单输出)非线性系统模糊控制中出现的“维数灾”问题,采用典型模糊控制单元,构造了“增一型”分层模糊控制器。提出了分层模糊滑模控制方法,并证明了分层模糊滑模控制系统的全局渐近稳定性。该方法设计参数少,设计步骤简单,并且控制器的设计参数只需要满足一定的比例关系即可使整个分层模糊滑模控制系统全局渐近稳定,从而减小了模糊控制器的设计工作量和难度。用一个仿真例子验证了该方法的有效性和优点。
In order to solve the problem of “dimensionality” in the fuzzy control of high order SISO (single input single output) nonlinear systems, a typical fuzzy control unit is used to construct a fuzzy controller with “increasing type”. A hierarchical fuzzy sliding mode control method is proposed and the global asymptotic stability of the hierarchical fuzzy sliding mode control system is proved. The method has fewer design parameters and simple design steps, and the controller design parameters only need to satisfy a certain proportional relationship to make the whole hierarchical fuzzy sliding mode control system globally asymptotically stable, thus reducing the design workload of the fuzzy controller And difficulty. A simulation example is used to verify the effectiveness and advantages of this method.