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文中研究了一类控制系数未知的更一般高阶不确定非线性系统的全局稳定自适应控制设计问题.尽管现有文献已解决了该问题,但对于n维系统,现有构造稳定自适应控制的方法至少需要设计n+1个未知参数的动态调节律,即动态补偿器的维数至少为n+1,存在较为严重的过参数问题.文中通过定义新的需动态调节的未知参数,运用增加幂积分和有关自适应技术,成功地解决了已有方法中的过参数问题,给出了构造只含有一个参数调节律的稳定自适应控制设计新方法.仿真算例验证了文中所给方法的有效性.
In this paper, the global stability adaptive control design for a class of more general higher-order uncertain nonlinear systems with unknown control coefficients is studied. Although the existing literature has solved the problem, for the n-dimensional system, the existing adaptive stability control The method needs to design at least n + 1 dynamic tuning laws with unknown parameters, that is, the dimension of the dynamic compensator is at least n + 1 and there exists a serious over-parameter problem. By defining a new unknown parameter to be dynamically adjusted, The power integration and the adaptive technique are improved, the over-parameter problem in the existing method is successfully solved, and a new stable adaptive control design method with only one parameter tuning law is given. The simulation example verifies the proposed method Effectiveness.