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为了解决基于TS(T akag i-Sugeno)模型的模糊控制方法在高阶单输入单输出(S ISO)非线性系统模糊控制中出现的“维数灾”问题,采用由作者研究组提出的多输入单输出(M ISO)典型模糊控制器,提出了模糊滑模控制方法,并且证明了闭环非线性系统的全局渐近稳定性。另外,当非线性系统存在模型不确定性时,只要将控制式略加修改,仍能保证闭环非线性系统的全局渐进鲁棒稳定性。仿真试验表明,该模糊滑模控制方法不仅设计参数少,设计步骤简单,具有良好的控制性能,并且可以有效地避免了维数灾问题。
In order to solve the problem of dimensionality disaster in the fuzzy control of high-order single-input single-output (SISO) nonlinear systems based on TS (T Akkari-Sugeno) fuzzy control method, Input single output (MISO) typical fuzzy controller, a fuzzy sliding mode control method is proposed, and the global asymptotic stability of the closed-loop nonlinear system is proved. In addition, when there is model uncertainty in the nonlinear system, the global asymptotic robust stability of the closed-loop nonlinear system can be guaranteed by slightly modifying the control. The simulation results show that the fuzzy sliding mode control method not only has less design parameters, simple design steps, good control performance, but also can effectively avoid the dimensionality disaster problem.