Abstract
Flexible solar panels play an essential role in the field of aerospace. However, many difficulties appear in the control design due to the existence of a weakly damped resonance module. The design for flexible systems often causes an unstable controller so that the systems after design still have trouble in putting into practice. We adopt H∞ loop-shaping design and put forward a directive method for selecting the weighting function. The simulation results indicate that system bandwidth is optimized based on the stable controller. In this way, the control precision and response speed of the system are improved. In the meantime, the system is easy to put into use.
Highlights
With the rapid development of aerospace, most spacecraft absorb solar energy to meet their energy needs [1]
One end of the solar array is connected to the satellite, and the other end is free to extend
Many scholars are committed to solving the control design problem of such systems so as to suppress the influence of these dynamic characteristics. e analysis shows that there are unstable controllers introduced by many design methods for weakly damped flexible systems, which make the designed systems difficult to use [7]. en, we adopt H∞ loop-shaping design proposed by McFarlane, and we hope to optimize the system performance based on the stable controller
Summary
With the rapid development of aerospace, most spacecraft absorb solar energy to meet their energy needs [1]. For the typical flexible structure on spacecraft [3], people have increasingly high requirements for its function, reliability, service life, and attitude control [4, 5]. Weakly damped resonance modes in the system bring many difficulties to control design. En, we adopt H∞ loop-shaping design proposed by McFarlane, and we hope to optimize the system performance (bandwidth) based on the stable controller. E openloop transfer function here is technically referred to as “loop transfer function.” According to this principle, the weighting function in the compensation link should be determined firstly according to the performance requirements (steadystate performance, dynamic performance, noise suppression performance, etc.), and the H∞ controller should be designed so that the system has sufficient robustness. According to the small gain theorem, when the norm of the uncertainty of coprime factors is less than c− 1, that is,
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