Compensation Control Strategy for Orbital Pursuit-Evasion Problem with Imperfect Information

Junfeng Zhou,Hui Li,Lin Zhao,Shuo Wang,Jianhua Cheng

doi:10.3390/app11041400

Junfeng Zhou, Hui Li + Show 3 more

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https://doi.org/10.3390/app11041400

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Journal: Applied sciences	Publication Date: Feb 4, 2021
Citations: 1	License type: CC BY 4.0

Affiliation: Harbin Engineering University

Abstract

This paper studies the orbital pursuit-evasion problem with imperfect information, including measurement noise and input delay. The presence of imperfect information will degrade the players’ control performance and lead to mission failure. To solve this problem, a compensation control strategy for the players is proposed. The compensation control strategy consists of two parts: the guaranteed cost strategy and the time delay compensation method. First, a near-optimal feedback strategy called guaranteed cost strategy with perfect information is proposed based on a Lyapunov-like function and matrix analysis theory. Second, a time delay compensation method based on an uncertainty set is proposed to compensate for delayed information. The compensation control strategy is derived by combining the time delay compensation method with the guaranteed cost strategy. While applying this strategy to the game, the input of the strategy is generated by processing the measured data with the state estimation algorithm based on the unscented Kalman filter (UKF). The simulation results show that the proposed strategy can handle the orbital pursuit-evasion problem with imperfect information effectively.

Highlights

The orbital pursuit-evasion has attracted increasing attention in space rendezvous and proximity operations (RPOs) [1,2,3,4]
We derive a guaranteed cost strategy based on a Lyapunov-like function and matrix analysis theory, and propose a time delay compensation method for the orbital pursuit-evasion problem based on the uncertainty set
The proposed guaranteed cost strategy is valid in the orbital pursuit-evasion problem with perfect information

Summary

Introduction

The orbital pursuit-evasion has attracted increasing attention in space rendezvous and proximity operations (RPOs) [1,2,3,4]. It is usually considered a zero-sum differential game, whose capture time or distance is shortened by the pursuer and increased by the evader. Many researchers worked on this game with the assumption of perfect information [5] This assumption violates real scenarios with noise (caused by measurement) and time delay (caused by observation and data processing). The games with these uncertain states are called imperfect information games [6]. Woodbury et al [6] adopted the unscented Kalman filter (UKF) to estimate the players’

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