针对一类更广泛的非仿射非线性离散系统,提出一种改进的无模型自适应控制算法。该算法基于非参数动态线性化方法,运用观测器的思想,实现带有扰动系统的实时动态线性化,进而将无模型自适应控制方法的应用推广到更广泛的非仿射非线性离散系统。同时,对推广后的改进无模型自适应控制方法进行理论上的证明,并通过仿真实例验证了所提出的改进无模型自适应控制方法的可行性和有效性。
An improved model-free adaptive control(IMFAC) approach is proposed for the more general non-affine nonlinear discrete systems. The nonparametric dynamic linearization technique is used in the controller design. By applying the observer strategy, the real-time dynamic linearization for the disturbance systems is realized. Thus the application scope of MFAC approach is extended to the more general non-affine nonlinear discrete-time systems. Then, the robust convergence of the IMFAC algorithm is also addressed. A numerical example is selected to validate the feasibility and effectiveness of the proposed method.