探讨可拓控制器的设计方法,利用自适应控制的设计策略来修正可拓控制器的增益参数,以近似获得所期望的最佳控制。所提出的控制器结构仅需调整单一参数,故易于实现。另外,引入最大值控制以保证所设计的可拓控制系统的稳定性，并将该控制器应用在非线性系统的控制上,以验证它的有效性及控制能力。

A design method for the extension controller is developed in this paper. The proposed adaptive extension control resulting from the direct adaptive approach is employed to directly adapt the gain parameter of the extension controller. Then the constructed controller can be best approximated to a given optimal control. Unlike the fuzzy controller, only one linguistic — like level is needed in the extension controller. The merits of the proposed controller are that (a) the number of adaptation parameter is small; (b) the design algorithm is easily to be implemented. In addition, a maximum control is established to guarantee the system robust stability. The derivation shows that the proposed extension controller is stable in the sense of the Lyapunov. Finally, a nonlinear system simulation example is applied to verifying the effectiveness and the ability of the proposed adaptive extension controller.