Frequency Weighted H2 Control Design for the Glovebox Integrated Microgravity Isolation Technology (g-limit)

Calhoun, Philip C.; Hampton, R. David

doi:10.2514/6.2003-5805

Cited by 2 publications

(3 citation statements)

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“…The outputs gopt and h2opt are the guaranteed H N and H 2 performances, respectively. The K is the controller SYSTEM matrix, and R, S are the optimal values of the variables R and S. According to equation (16)(D 32 = ( 0 Àa=M ) T 6 ¼ 0) in the SYSTEM matrix P, it is necessary to fabricate an output signal according to equation (17) before computing a controller. And then, equation 18is substituted into the controller state-space realization and the actual controller model is finally obtained.…”

Section: Computation Of Mixed H 2 /H N Output Feedback Controllermentioning

confidence: 99%

“…Hampton and Whorton 15 and Calhoun and Hampton. 16 adopted a one-dimensional vibration isolation system and effectively solved the kinematic coupling problem in the course of designing frequencyweighted filters. On this basis, Whorton 17 discussed the impact of different frequency weighting functions on the current and performance of a one-dimensional vibration isolation system.…”

Section: Introductionmentioning

confidence: 99%

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Study on mixed H₂/H_∞output feedback control of maglev actuator for microgravity vibration isolation system

Chen

et al. 2019

Advances in Mechanical Engineering

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Aiming at how to specify the fundamental trade-off between robust stability and nominal performance of mixed H 2 /H N control as well as lack of experimental studies on vibration control for the maglev actuator in microgravity vibration isolation system, a mixed H 2 /H N output feedback controller based on the linear matrix inequality method is designed and analyzed. This article establishes a state-space realization for a one-dimensional vibration isolation system and the Hnorm performance indices are identified and calculated. Furthermore, the curves of threshold values and true values of H N and H 2 norms are plotted to specify the relationship between the system's robust stability and nominal performance. Therefore, the threshold value of system's H N norm is identified through repeated simulations, and the state-space realization of optimal controller with minimum H 2 norm under the constraints of H N norm threshold value is obtained. The vibration control experimental apparatus of one-dimensional control system is designed and manufactured to test the actual application of mixed H 2 /H N controller for the maglev actuator. The result presents that the designed mixed H 2 /H N control has a better performance in suppressing acceleration vibration and has a higher attenuation amplitude than cascade proportional-integral-derivative control at each corresponding frequency, which proves the practicability and effectiveness of the design method.

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Section: Computation Of Mixed H 2 /H N Output Feedback Controllermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study on mixed H₂/H_∞output feedback control of maglev actuator for microgravity vibration isolation system

Chen

et al. 2019

Advances in Mechanical Engineering

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“…Wu et al [15] proposed a double closed-loop control strategy composed of an absolute movement controller and a relative movement controller, and designed a low-pass filter and a band-pass filter to switch the control objectives. In addition, many studies have also transformed this problem into a multi-objective optimization problem, using H 2 [16,17], and hybrid multiobjective control [18,19] to achieve the control objectives. Furthermore, vibration isolation systems are usually characterized by nonlinearity and uncertainty.…”

Section: Introductionmentioning

confidence: 99%

Finite-time adaptive control for microgravity vibration isolation system with full-state constraints

Wang

et al. 2023

Preprint

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This article proposes a finite-time adaptive control strategy for a class of vibration isolation systems with external disturbances and full-state constraints. Time-varying barrier Lyapunov functions (TBLFs) are designed to achieve suppression performance under limited rattle space. Adaptive laws are applied to deal with parameters uncertainty which is caused by various mass and momentum. By regarding internal coupling terms and external disturbances as lumped disturbances, a predefined-time observer is employed to handle them. Furthermore, command filters are used to remove the burdens of the computational explosion. With the aid of auxiliary system, command filters errors are eliminated. And the actuator saturation is addressed by auxiliary system as well. By using the finite-time Lyapunov stability theory, it proves that all the states converge in finite time. Finally, simulations are given to verify the effectiveness and benefits of the developed control strategy with a trade-off between the improved suppression performance, limited mechanical constraints and robustness.

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Frequency Weighted H2 Control Design for the Glovebox Integrated Microgravity Isolation Technology (g-limit)

Cited by 2 publications

References 3 publications

Study on mixed H₂/H_∞output feedback control of maglev actuator for microgravity vibration isolation system

Study on mixed H₂/H_∞output feedback control of maglev actuator for microgravity vibration isolation system

Finite-time adaptive control for microgravity vibration isolation system with full-state constraints

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Frequency Weighted H2 Control Design for the Glovebox Integrated Microgravity Isolation Technology (g-limit)

Cited by 2 publications

References 3 publications

Study on mixed H2/H∞output feedback control of maglev actuator for microgravity vibration isolation system

Study on mixed H2/H∞output feedback control of maglev actuator for microgravity vibration isolation system

Finite-time adaptive control for microgravity vibration isolation system with full-state constraints

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Study on mixed H₂/H_∞output feedback control of maglev actuator for microgravity vibration isolation system

Study on mixed H₂/H_∞output feedback control of maglev actuator for microgravity vibration isolation system