Abstract

This paper proposes a nonlinear control method for carrying out Minimum-time satellite attitude maneuver and antenna motion which have robustness against model uncertainty. In recent years, small Earth observation satellites have been utilized and expected to maneuver rapidly in missions such as multi-target acquisition. On the other hand, small satellites need to send the observation data to ground station. Recently, small Earth observation satellites acquire high-resolution data, resulting in an increase in the time required for data communication. Thus, small satellites need to use inter-orbit communication link through Data Relay test satellite sending data from Data Relay communication (DRC) antenna. In conventional operations, the antenna motion is implemented after satellite attitude maneuver. However, this method has a time delay between the completion of the attitude maneuver and the start of data communication. The purpose of this study is to extend the time of earth observation and data communication by carrying out satellite maneuver and antenna motion concurrently. Because small satellite mounted with DRC antenna has large mass ratio of the antenna, we cannot ignore time variability of the moment of inertia of the whole system and reaction torque generated by antenna motion. Hence, in order to take the influence of the antenna motion into consideration, we combine a satellite attitude control system and an antenna drive system into one control system by governing equations and constructing the optimal control problem. We convert the optimal control problem into a NLP by discretizing the control input (a series of pulses) to minimize the final time of the total maneuver that includes the antenna adjustment. In addition, it is considered that a model uncertainty and unknown disturbance occurs in real space. Thus, we have to design feedback controller to secure robustness in model error and unknown disturbance. Accordingly in order to propose a nonlinear control method for carrying out minimum-time satellite attitude maneuver and antenna motion which have robustness against model uncertainty and unknown disturbance, we calculate a reference attitude by application of optimal control input torque to ideal satellite model and design servo controller by using state-dependent Riccati equation (SDRE) control method in order to track time-variant reference attitude.

Highlights

  • Japan promote the development of high resolution small-sized satellite like ASNARO

  • From the results in Case 1, we can see that if the State-Dependent Weighting (SDW) matrix for a state error vector is large, the state-dependent Riccati equation (SDRE) servo controller has the characteristics of a regulator

  • We design the cooperative control method so that the antenna motor generates torque for satellite attitude maneuver when Reaction wheel (RW) reaches the limit of RW wheel speed

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Summary

Introduction

Japan promote the development of high resolution small-sized satellite like ASNARO (advanced satellite with New system architecture for observation). This study converts the optimization problem of minimum-time attitude maneuver and antenna motion into an NLP, and applies the sequential quadratic programming (SQP) method to obtain an optimal Feedforward (FF) control torque. In order to propose a nonlinear control method for carrying out Minimum-time satellite attitude maneuver and antenna motion which have robustness against model uncertainty and unknown disturbance, first, we calculate the reference attitude xr by the application of optimal control input torque u FF to the ideal model. This means we can change the characteristic of controller depending on the state Using this typical characteristic, we design state dependent weighting matrix in order to shorten the satellite attitude maneuver and antenna motion.

Dynamics of the Satellite
Dynamics of the Satellite Mounted with DRC Antenna
Dynamics of Satellite Mounted with Reaction Wheel and DRC Antenna
Ideal Dynamics of the DRC Antenna
Model Uncertainty of DRC Antenna
Real Dynamics of DRC Antenna
Converting the Optimization Problem into an NLP
The SDRE Method
SDRE Control Method
Design SDRE Controller of the Satellite Mounted with DRC Antenna and RW
SDRE Intergral Type Servo Controller Theory
SDRE Integral Type Servo Control Design
Simulations in Order to Understand the Influence of SDW Matrix
Results of Simulations
Design of SDW Matrix-Cooperative Control of RW and DRC Antenna
Simulations
Conditions of Simulation I
Results of Simulation I
Conditions of Simulation II
Results of Simulation II
Conclusions
Full Text
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