基于滞环的非线性输入问题的研究

通过分析滞环的物理特性和自适应控制技术,提出了一种全新的鲁棒自适应控制策略,来解决以滞环为输入的非线性系统的追踪控制问题,而不需要构建滞环的逆.其中所探讨的系统的输入部分是一个"反冲类"的滞环,其模型采用微分方程形式表达,但方程中的参数未知,只知道其界限.这一新的方法确保了非线性系统的全局稳定性和对给定信号的有效追踪.仿真结果证明了该方法的有效性.

Study on the Problems of Nonlinear Input of Hysteresis Loop

Analyzing the physical properties of the hysteresis loop and combining them with adaptive control technique, a new robust adaptive control scheme is developed to solve the tracking control problem of a nonlinear system where the hysteresis loop is input, instead of constructing an inverse hysteresis loop in conventional way. The input of the system is a backlash-like hysteresis loop of which the model is expressed in differential equation where the parameters are unknown but their bounds are known. The new scheme ensures the global stability of nonlinear systems with effective tracing results provided for the given signal, and its validity has been verified through simulation.