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本文研究了一类增长线性地依赖于不可测状态非线性系统的输出反馈自适应实用跟踪问题.很不同的是,本文所研究系统的增长率是输出的未知多项式(系数未知、幂次已知),且关于被跟踪参考信号的假设相当弱(仅本身和其导数为已知的),为解决该问题,通过灵活采用通用控制和死区的思想和方法,引入了带有新型动态增益的观测器来重构不可测的系统状态,进而构造了自适应输出反馈跟踪控制器.可以证明,当控制器中的设计参数适当选取时,闭环系统所有状态有界,并且跟踪误差趋于事先给定的充分小的区域.数值仿真说明了所提方法的有效性.
In this paper, a class of adaptive output tracking practical tracking problem is proposed, which is linearly dependent on the nonlinear state of the unmeasured state. The difference is that the growth rate of the system under study is the unknown polynomial of the output ), And the assumption about the tracked reference signal is rather weak (only itself and its derivatives are known). To solve this problem, with the idea and method of flexible adoption of general control and dead zone, a new dynamic gain Observer to reconstruct the unmeasured state of the system, and then construct an adaptive output feedback tracking controller.It can be proved that when the design parameters in the controller are properly selected, all states of the closed-loop system are bounded, and the tracking error tends to be given in advance A sufficiently small area is given. Numerical simulation shows the effectiveness of the proposed method.