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针对一类非线性系统的稳定控制器设计问题,根据广义模糊双曲正切模型的万能逼近性质,提出一种带有可调参数的广义模糊双曲正切模型的自适应控制器设计方法.该设计方法的优点是使得自适应律的个数不依赖于广义模糊双曲正切模型的线性基函数的输出形式,可以有效减少在线估计的参数数目,并且能够保证被控系统的状态一致终极有界.最后通过数值算例表明了所提出的设计方法的有效性.
Aiming at the problem of designing a stable controller for a class of nonlinear systems, an adaptive controller design method for generalized fuzzy hyperbolic model with adjustable parameters is proposed according to the universal approximation property of generalized fuzzy hyperbolic model. The method has the advantages that the number of adaptive law does not depend on the output form of the linear basis function of the generalized fuzzy hyperbolic model, which can effectively reduce the number of parameters of on-line estimation and ensure the state of the controlled system is finally bounded. Finally, a numerical example is given to show the effectiveness of the proposed design method.