针对一类带有完全未知关联项的非线性严格反馈互联系统,本文提出一种自适应模糊输出反馈分散控制方案。在控制设计过程中,先设计状态观测器来估计系统中不可测的状态,将研究领域由状态反馈的系统扩展至状态未知的输出反馈系统,然后应用模糊逻辑系统逼近未知的光滑非线性函数,并结合Lyapunov方法和自适应Backstepping技术,设计出一个自适应控制方案,通过仿真算例验证所提控制方法的有效性。仿真结果表明,所设计的观测器较好地估计了未知的系统状态,确保在所提控制器的作用下,整个闭环系统具有良好性能。该方案保证了闭环系统的所有信号半全局一致终极有界。
In this paper, an adaptive fuzzy output-feedback decentralized control scheme is proposed for a class of nonlinear strict feedback interconnected systems with completely unknown interconnections. In the process of control design, a state observer is firstly designed to estimate the immeasurable states and it makes the research field being extended from state-feedback systems to output-feedback systems with unmeasured states. Then fuzzy logic systems are utilized to approximate the unknown nonlinear functions. And by combining Lyapunov method and adaptive backstepping technology, an adaptive control scheme is proposed. The simulation results are presented to illustrate the effectiveness of the proposed scheme and it shows that the immeasurable states can be estimated by the observer and beeause of the proposed controllers, the closed-loop systems have good performance. The scheme guaranteed that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded.