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非线性系统的DFL及隐动态
引用本文:高龙,王幼毅,马海武.非线性系统的DFL及隐动态[J].清华大学学报(自然科学版),1996(9).
作者姓名:高龙  王幼毅  马海武
作者单位:清华大学自动化系,澳大利亚Newcastle大学电机及计算机工程系
基金项目:国家自然科学基金,清华大学电力系统和大型发电设备安全控制及仿真国家实验室基金
摘    要:在1981年韩京清发表的论文"线性系统的结构与反馈计算"的基础上发展和完善了基于高阶微分方程输入-输出描述的非线性系统直接反馈线性化(DFL)理论。给出了DFL问题的有解条件和补偿器的结构。首次提出了"隐动态"(HD)概念,并证明了它与微分几何非线性控制理论中的"零动态"(ZD)的等价关系。该法所需数学工具简单;保留了原状态变量的物理意义,便于工程应用。

关 键 词:非线性控制系统  反馈线性化  隐动态与零动态

Direct feedback linearization of nonlinear control systems and the hidden dynamics
Gao Long, D. J. Hill, Wang Youyi, Ma Haiwu.Direct feedback linearization of nonlinear control systems and the hidden dynamics[J].Journal of Tsinghua University(Science and Technology),1996(9).
Authors:Gao Long  D J Hill  Wang Youyi  Ma Haiwu
Abstract:Based on the conception of Han Jingqing's paper "Structure of linear control systems and computing problem of feedback systems"published in 1981, the direct feedback linearization (DFL) theory for nonlinear control systems described by the input-output higherorder differential equations was well developed in this paper. The solvability condition of theDFL problem and the structure of the DFL-compensator were given. The concept of the hidden dynamics (HD) was proposed for the first time, and it was proved that the HD is equivalent to the zero dynamics (ZD) of the differential geometric theory of nonlinear control. Especially this method is a better one for engineering application, because the mathematics instruments are simple and the physical information of the system can also be preserved.
Keywords:nonlinear control systems  feedback linearization  hidden dynamics and zero dynamics
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