一类四阶非线性系统的滑模模糊控制

针对一类非线性系统的稳定控制问题，提出了带有模糊状态观测器滑模模糊控制器的设计方法。对二阶非线性系统设计滑模模糊控制器，以滑模面作为模糊控制器的输入设计模糊控制规则；研究四阶非线性系统，将它分解成两个二阶子系统，设计两个子系统各自的滑模面；然后将一个子系统的控制目标嵌入到另一个子系统的控制目标中，用一个控制量使两个子系统同时向各自的滑模面趋近，使该四阶系统稳定。倒立摆的仿真结果表明，这种滑模模糊控制器对于参数变化和初始条件具有很强的鲁棒性。

Sliding-mode fuzzy control for a class of forth-order nonlinear systems

This paper addresses the design of the sliding-mode fuzzy controller with fuzzy observer considering a class of forth-order nonlinear systems. Take a class of second-order nonlinear systems as the plant considered. Design the sliding-mode fuzzy controller and the fuzzy control rules, Study a class of fourthorder nonlinear systems, decouple the whole system into two second-order systems, and design their separate sliding surface of each subsystems, Embed the control target of one subsystems to another subsystems. Utilize a control action to make both subsystems move towards their sliding surface, respectively, which stabilize the fourth-order systems. The simulation results on the inverted pendulum system are given to illustrate the validity and the robustness of the proposed approach.