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非线性系统的可控正则型和状态变换的求法

CONTROLLABILITY CANONICAL FORM FOR NON-LINEAR SYSTEM AND ALGORITHM OF STATE TRANSFORMATION

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【作者】 李文林高为炳

【Author】 Li Wenlin Gao Weibing(Dept. of Math,and Pbys. )

【机构】 北京航空航天大学应用数理系北京航空航天大学应用数理系

【摘要】 Zeitz引入了非线性控制系统的可控正则型,证明了由可控正则型描述的非线性系统是可控的,本文进一步给出了非线性系统正则化的条件和状态变换的算法,从而解决了通过状态变换证明非线性系统的可控性。

【Abstract】 Zeitz has introduced controllability canonical form for non-linear systems and proved that the systems which are described by controllability canonical form are controllable.In this paper a necessary and sufficient condition for transforming non-linear systems into controllability canonical form and a algorithm of state transformation are given.Thus the problem for proving non-linear systems controllability through state transformation is solved.

  • 【文献出处】 北京航空航天大学学报 ,Journal of Beijing University of Aeronautics and Astronautics , 编辑部邮箱 ,1990年03期
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