【作者】 杨光； 张庆灵；

【Author】 YANG Guang~(1,2) ZHANG Qing-ling~1 1.Institute of System Sciences,Northeastern University,Shenyang 110004,China; 2.School of Mathematics and Systems Science,Shenyang Normal University,Shenyang 110034,China.

【机构】 东北大学系统科学研究所； 东北大学 系统科学研究所；

【摘要】 非线性系统极点配置常用方法为两步设计,且须满足对合条件,对于一个高于二阶的实际系统很难满足这些严格的条件．精确线性化和极点配置一步设计的方法避免了严格的对合条件,尤其是通过求解奇异偏微方程组来实现一步设计．鉴于此,将该方法推广到非线性广义系统,使得正则化、精确线性化和极点配置一步完成．将此法应用于 Logistic 增长的 SIS 模型,旨在消除该传染病．仿真结果表明了该方法的有效性．更多还原

【Abstract】 Exact feedback linearization with pole placement for a nonlinear system is usually divided into two steps.A set of very restrictive involutivity conditions can hardly be met for any physical system of order higher than two.The single step design approach of feedback linearization and the pole placement avoids the involutivity conditions.The method is applied to the nonlinear singular system,and the normalizability,the feedback linearization and the pole placement in a single step are attained.The mathematical formulation of the problem is realized by using a system of first-order singular partial differential equations.The proposed method is used in biological systems,and the ultimate aim is to eliminate the disease.Simulation results show the effectiveness of the proposed method.更多还原