Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Stability Analysis and Delay Compensation for Space Instable Target Simulator

Version 1 : Received: 2 February 2024 / Approved: 2 February 2024 / Online: 2 February 2024 (07:27:29 CET)

A peer-reviewed article of this Preprint also exists.

Bai, X.; Li, X.; Zhao, Z.; Xu, Z.; Lu, H.; Liu, M. Stability Analysis and Delay Compensation for Space Instable Target Simulator. Actuators 2024, 13, 123. Bai, X.; Li, X.; Zhao, Z.; Xu, Z.; Lu, H.; Liu, M. Stability Analysis and Delay Compensation for Space Instable Target Simulator. Actuators 2024, 13, 123.

Abstract

Space instable target simulator (SITS) is a vital actuator for ground verification of on-orbital capture technology, the motion performance of which directly affects simulation credibility. Different delays reduce the stability of SITS and ultimately lead to its divergence. In order to achieve high fidelity simulation, the impact of force measurement delay, discrete control cycle, and simulator response delay on stability is analyzed firstly. Then, the dynamic equation and transfer function identification model of hybrid simulator is constructed, and the necessary and sufficient conditions of its stability and convergence are obtained using the Routh criterion. After that, a switching compensator with variable gain is proposed, the compensation principle diagram of which is build, and its mathematical model including the energy observer and tracking differentiator is also established. Finally, three sets of numerical simulations are conducted to validate the correctness of the stability analysis and effectiveness of proposed compensation method. Simulation results show that all three types of delay can cause SITS to lose stability under critical stable motion state, and the delay in force measurement has the greatest impact, followed by the influence of control cycle. Compared with the force applied to simulated target, velocity and its recovery coefficient of space instable target using fixed gain and linear gain compensation, the proposed compensator has significantly better performance.

Keywords

space instable target; stability analysis; delay compensation; hybrid simulator; switching compensator with variable gain

Subject

Engineering, Mechanical Engineering

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