Optimal feedforward controller design for periodic inputs

Pipeleers, Goele; Swevers, Jan

doi:10.1080/00207170903552067

Cited by 8 publications

(4 citation statements)

References 34 publications

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“…A calculation method is proposed in Varga (2004) to design fault detection filters for periodic systems. So far, with regard to the discrete-time periodic systems, the research activities have been extensively used in hard disk drive servo systems, wind turbines and automobile engines (Allen et al, 2011;Pipeleers and Swevers, 2010). In addition, the discrete-time periodic systems have been widely employed in various fields such as aerial systems, communication systems, image compression systems and voice processing (Lv, 2017).…”

Section: Introductionmentioning

confidence: 99%

Design of an optimal preview controller for linear discrete-time periodic systems

Sun

Liao

Deng

2021

Transactions of the Institute of Measurement and Control

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In this paper, the preview tracking control problem for linear discrete-time periodic systems is considered. First, to overcome the difficulty arising from periodicity of the system, the linear discrete-time periodic system is transformed into an ordinary time-invariant system by lifting method. Secondly, the difference between a system state and its steady-state value is used to derive an augmented system instead of the usual difference between system states. Then, the preview controller for the augmented system is proposed by the preview control theory, which solves the preview tracking control problem for the periodic systems. Moreover, an integrator is introduced to ensure that the output can track the reference signal without static error. Finally, the obtained results are illustrated by the simulation examples.

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Section: Introductionmentioning

confidence: 99%

Design of an optimal preview controller for linear discrete-time periodic systems

Sun

Liao

Deng

2021

Transactions of the Institute of Measurement and Control

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“…Reference [16] revealed the application of linear periodic system in satellite attitude control. Reference [17] dealt with the vibration attenuation problem of the helicopter transmission system. Because the vibration of the helicopter transmission system was a typical periodic vibration, the problem could be described by a linear periodic system model.…”

Section: Introductionmentioning

confidence: 99%

Optimal Preview Control for Linear Discrete‐Time Periodic Systems

Liao

Sun

Usman

2019

Mathematical Problems in Engineering

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In this paper, the optimal preview tracking control problem for a class of linear discrete-time periodic systems is investigated and the method to design the optimal preview controller for such systems is given. Initially, by fully considering the characteristic that the coefficient matrices are periodic functions, the system can be converted into a time-invariant system through lifting method. Then, the original problem is also transformed into the scenario of time-invariant system. Later on, the augmented system is constructed and the preview controller of the original system is obtained with the help of existing preview control method. The controller comprises integrator, state feedback, and preview feedforward. Finally, the simulation example shows the effectiveness of the proposed preview controller in improving the tracking performance of the close-loop system.

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“…Offline iterative control (OIC) requires sufficient data to shape the command signal and reduce the acceleration tracking error. Repetitive excitations may cause premature damage to the specimen (Pipeleers and Swevers, 2010), while the adaptive controller allows online adjustment of its parameters to obtain the desired output. The commonly used ones include minimal control synthesis (MCS) (Stoten and Gómez, 2001;Gizatullin and Edge, 2007;Stoten and Shimizu, 2007;Shen et al, 2011b) adaptive inverse control (AIC) (Salehzadeh-Nobari et al, 1997;Karshenas et al, 2000;Shen et al, 2011a,b;Gang et al, 2013) and self-tuning control (Ghalibafian et al, 2004;Plummer, 2007a,b).…”

Section: Introductionmentioning

confidence: 99%

A Two-Loop Control Method for Shaking Table Tests Combining Model Reference Adaptive Control and Three-Variable Control

Yachun

Pan

Zhang

et al. 2018

Front. Built Environ.

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Shaking table tests are the most direct experimental way to evaluate structure performance in earthquake engineering. Because of the complexity of the control systems and the influence of specimen behavior, it is difficult for a conventional controller, whose parameters are fixed, to achieve accurate tracking performance for different reference input signals under different payloads. In this paper, a two-loop control method is proposed by combining three-variable control and model reference adaptive control based on Lyapunov stability theory. The proposed control method can adjust the time-domain drive signal adaptively to improve the tracking accuracy and the robustness to specimen uncertainties. Numerical simulations of a small-scale shaking table are used to verify the effectiveness, and the performance of the controller is compared with that of the conventional three-variable control controller. The simulation results demonstrate that the proposed two loop control method provides better performance in both the time and frequency domains.

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Optimal feedforward controller design for periodic inputs

Cited by 8 publications

References 34 publications

Design of an optimal preview controller for linear discrete-time periodic systems

Design of an optimal preview controller for linear discrete-time periodic systems

Optimal Preview Control for Linear Discrete‐Time Periodic Systems

A Two-Loop Control Method for Shaking Table Tests Combining Model Reference Adaptive Control and Three-Variable Control

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