Finite-Time Stability Analysis of Proportional Navigation Guidance System
The finite time stability of proportional navigation guidance system is presented. A linearized proportional navigation guidance loop is introduced. The reassembled model of guidance loop exhibits a famous Lure system which consisting of a linear time-invariant element and a time-varying part. It is shown that a sufficient condition for stability, with 1<p<∞, is obtained by utilizing the well-known small gain theorem. Based on the condition of system stability, the relation between guidance loop stability and miss distance is proved. It is proved that, if the linear time-invariant part of the system belongs to the class of positive real transfer functions, the guidance system is stable and the guidance system can achieve zero miss distance.(Abstract)
finite-time stability proportional navigation guidance miss-distance Lure system
Zhou Weiwen Liang Xiaogeng Jia Xiaohong
Luoyang Optoelectro Technology Development Center, Luoyang, Henan, China Luoyang Optoelectro Technology Development Center, Luoyang,Henan, China
国际会议
厦门
英文
108-112
2010-10-29(万方平台首次上网日期,不代表论文的发表时间)