Frontiers of Information Technology & Electronic Engineering
>> 2020,
Volume 21,
Issue 7
doi:
10.1631/FITEE.1800763
Optimal two-impulse space interception with multiple constraints
Affiliation(s): State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China; Beijing Institute of Electronic Systems Engineering, Beijing 100854, China; less
Received: 2018-12-05
Accepted: 2020-07-10
Available online: 2020-07-10
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Abstract
We consider optimal two-impulse with . The are imposed on the terminal position of a space interceptor, impulse and impact instants, and the component-wise magnitudes of velocity impulses. These optimization problems are formulated as and solved by the calculus of variations. Slackness variable methods are used to convert all inequality constraints into equality constraints so that the Lagrange multiplier method can be used. A new is presented. As a result, an indirect optimization method is developed. Subsequently, our method is used to solve the two-impulse of free-flight ballistic missiles. A number of conclusions for have been drawn based on highly accurate numerical solutions. Specifically, by numerical examples, we show that when time and velocity impulse constraints are imposed, optimal two-impulse solutions may occur; if two-impulse instants are free, then a two-impulse space interception problem with velocity impulse constraints may degenerate to a one-impulse case.
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