Optimal averaged Padé-type approximants

Djukić, Dusan Lj.; Mutavdžić Djukić, Rada M.; Reichel, Lothar; Spalević, Miodrag M.

doi:10.1553/etna_vol59s145

Cited by 3 publications

(2 citation statements)

References 18 publications

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“…Due to the fact that e −τs is an infinite dimensional function, Pade approximation is used for linearization, which has good performance even when the delay time is long and the Taylor series does not converge [34][35][36]. The first-order Pade approximation expressions for G c (s) and G s (s) are as follows:…”

Section: Model Identification Of Sitsmentioning

confidence: 99%

Stability Analysis and Delay Compensation for Space Instable Target Simulator

Bai,

Li,

Zhao

et al. 2024

Preprint

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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.

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Section: Model Identification Of Sitsmentioning

confidence: 99%

Stability Analysis and Delay Compensation for Space Instable Target Simulator

Bai,

Li,

Zhao

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

Section: Model Identification Of Sitsmentioning

confidence: 99%

Stability Analysis and Delay Compensation for Space Instable Target Simulator

Bai,

Li,

Zhao

et al. 2024

Actuators

View full text Add to dashboard Cite

The 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 impacts of force measurement delay, the discrete control cycle, and simulator response delay on stability are analyzed first. Then, the dynamic equation and transfer function identification model of the hybrid simulator is constructed, and the necessary and sufficient conditions of its stability and convergence are obtained using the Routh criterion. After that, a novel switching compensator with variable gain is proposed to reduce the superimposed effects of the three delays, the compensation principle diagram of which was built, and its mathematical model including the energy observer and nonlinear tracking differentiator is also established. Finally, three sets of numerical simulations were conducted to validate the correctness of the stability analysis and effectiveness of the proposed compensation method. The simulation results show that all three types of delays can cause SITS to lose stability under critical stable motion states, and the delay in force measurement has the greatest impact, followed by the influence of the control cycle. Compared with the force applied to the simulated target, the velocity, and the recovery coefficient of the space instable target using fixed gain and linear gain compensation, the proposed compensator has significantly better performance.

show abstract