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Updated: May 8, 2026

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Published on: October 1, 2019
Robust H(∞) control for spacecraft rendezvous with a noncooperative target.
Shu-Nan Wu1, Wen-Ya Zhou, Shu-Jun Tan
1State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China ; School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China.
This study presents a robust H(∞) control strategy for spacecraft rendezvous. The controller ensures safe approach to noncooperative targets despite system uncertainties and errors.
Area of Science:
- Aerospace Engineering
- Control Systems Theory
- Robotics
Background:
- Spacecraft rendezvous and proximity operations are critical for missions like servicing and debris removal.
- Noncooperative targets pose significant challenges due to unpredictable motion and lack of communication.
- Existing control methods often struggle with uncertainties and real-world constraints like actuator saturation.
Purpose of the Study:
- To develop a robust H(∞) control approach for autonomous spacecraft rendezvous with noncooperative targets.
- To address uncertainties in orbital parameters and target mass.
- To ensure reliable chaser spacecraft guidance despite control input saturation, measurement inaccuracies, and thrust errors.
Main Methods:
- Modeling the relative motion between chaser and target as an uncertain system.
- Designing a robust H(∞) controller incorporating finite-time performance objectives.
- Utilizing linear matrix inequality (LMI) techniques to derive controller synthesis conditions.
Main Results:
- A robust H(∞) controller was successfully designed to handle system uncertainties and performance requirements.
- The controller demonstrated effectiveness in driving the chaser spacecraft for rendezvous.
- Sufficient conditions for controller existence were derived using LMI technology.
Conclusions:
- The proposed robust H(∞) control strategy is effective for spacecraft rendezvous with noncooperative targets.
- The methodology accounts for critical real-world constraints and uncertainties.
- The LMI-based approach provides a systematic way to synthesize the robust controller.
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