Approximate linearization of nonlinear control systems

W. Kang
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引用次数: 46

Abstract

The paper addressed the problem of approximate linearization of a nonlinear control system by state feedback or dynamic feedback. The main result proved is that if the first k d-relative degrees are equal to each other, then the input-output response of a nonlinear control system can be linearized to degree k. Any system having linear d-relative degree can be linearized to any degree by dynamic feedbacks. One example of signal tracking using dynamic feedback linearization method to improve the performance is also given.<>
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非线性控制系统的近似线性化
研究了非线性控制系统的状态反馈和动态反馈的近似线性化问题。证明的主要结果是,如果前k个d相对度相等,则非线性控制系统的输入输出响应可以线性化到k次。任何具有线性d相对度的系统都可以通过动态反馈线性化到任何程度。最后给出了一个应用动态反馈线性化方法提高信号跟踪性能的实例。
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