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首页> 外文期刊>International Journal of Control >Output feedback adaptive control of a class of nonlinear discrete-time systems with unknown control directions and preceded by hysteresis
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Output feedback adaptive control of a class of nonlinear discrete-time systems with unknown control directions and preceded by hysteresis

机译：一类具有滞后的控制方向未知的非线性离散时间系统的输出反馈自适应控制

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摘要

This paper considers the output feedback adaptive controller design problem for a class of discrete-time nonlinear systems in output feedback form with unknown control directions and preceded by unknown hysteresis. The problem of lacking in a-priori knowledge on the control directions and unknown hysteresis are solved by using the discrete Nussbaum gain and Prandtl-Ishlinskii model, respectively. The system is transformed into the form of a nonlinear auto regressive moving average (NARMA) model to construct an output feedback control. To overcome the noncausal problem in the control design, future output prediction laws and parameter update laws with the dead-zone technique are constructed on the basis of the NARMA model. The proposed control algorithm guarantees that all the signals in the controlled system are bound and the output tracking error is made to be neighbourhood around zero, ultimately. Finally, simulations are performed on a nonlinear system to show the effectiveness of the proposed method
机译：本文考虑一类离散时间非线性系统的输出反馈自适应控制器设计问题，该非线性系统的输出反馈形式具有未知的控制方向并且具有未知的滞后。分别通过使用离散的Nussbaum增益模型和Prandtl-Ishlinskii模型解决了对控制方向缺乏先验知识和未知磁滞的问题。该系统被转换为非线性自回归移动平均（NARMA）模型的形式，以构建输出反馈控制。为了克服控制设计中的非因果问题，在NARMA模型的基础上构造了未来的输出预测定律和死区技术的参数更新定律。所提出的控制算法保证了受控系统中的所有信号都受到约束，并且最终使输出跟踪误差在零附近。最后，在非线性系统上进行了仿真，以证明所提方法的有效性

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