一类非线性系统的自适应控制及其在发动机中的应用

An adaptive control for a class of nonlinear systems and application to aeroengine control

讨论了一类不确定性严格反馈非线性系统的鲁棒控制问题。结合H∞控制和自适应控制,提出基于一种反演(Backstepping)技术的鲁棒控制器。将广义不确定项参数化,提出了状态反馈控制器的算法,反演迭代设计不仅避免了求解HJI不等式设计控制器的困难,而且保证了闭环系统取得H∞的性能指标。基于航空发动机模型的仿真结果证明了理论推导的有效性。

A discussion is devoted to an adaptive robust control method for a class of strict feedback uncertain nonlinear system. Combined adaptive control and H∞theory, a robust controller based on backstepping technique is proposed. State feedback algorithm is discussed with general uncertainties parameterized. Recursive design based on backstepping technique can avoid solving the HJI inequalities and guarantee closed loop system to achieve H∞ performers.