Multivariable feedback design to improve tracking performance on tractor vibration test rig

Vaes, David; Engelen, Kurt; Anthonis, Jan; Swevers, Jan; Sas, Paul

doi:10.1016/j.ymssp.2005.07.004

Cited by 19 publications

(13 citation statements)

References 20 publications

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“…The importance of off-diagonal elements in the matrix , i.e. the cross-axes interaction, can be defined as [6] = � − � � � −1…”

Section: Diagonal Dominancementioning

confidence: 99%

“…Even so, it should be noted that the frequency regions where the errors occurred were mentioned before as unreliable due to noisy measurements. This susceptibility to noise and errors in the determination of the frequency response of the TF matrix is a well known issue of static decoupling [6] and the main reason why it is not recommended for applications in which the system's structure changes over time. As a mean to evaluate the sensitivity of the static decoupling equalizers to changes or errors in the TF matrix, a Monte Carlo type investigation is now presented.…”

Section: Decoupling Equalizer Design and Simulationmentioning

confidence: 99%

See 1 more Smart Citation

The Application of the Singular Value Decomposition (SVD) for the Decoupling of the Vibratory Reproduction System of an Aircraft Cabin Simulator

Chamon

Quiqueto

Bistafa

2010

SAE Technical Paper Series

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Mechanical systems excited by vibratory point-sources, tend to suffer from interference among axes, due to characteristics of the reproduction system or difficulties associated with the application of the excitation forces on the system's masscenter. Thus, when it is necessary to excite the system independently in different directions, control techniques are needed for the correct reproduction of the desired signals. This work presents the developments for the reproduction of vibrations in two directions, on platforms employed as the base of seats of an aircraft cabin simulator. Each platform is independently excited by two orthogonal shakers, located in the geometrical center of the latter. Based on an evaluation of the degree of coupling between both orthogonal axes, signal processing solutions for the decoupling problem are proposed. Using SVD to diagonalize the transfer-function-matrix, an independent base for the system was identified. Some preliminary evaluations using inverse static filters show that the proposed method can provide the desired results.

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“…The importance of off-diagonal elements in the matrix , i.e. the cross-axes interaction, can be defined as [6] = � − � � � −1…”

Section: Diagonal Dominancementioning

confidence: 99%

Section: Decoupling Equalizer Design and Simulationmentioning

confidence: 99%

The Application of the Singular Value Decomposition (SVD) for the Decoupling of the Vibratory Reproduction System of an Aircraft Cabin Simulator

Chamon

Quiqueto

Bistafa

2010

SAE Technical Paper Series

View full text Add to dashboard Cite

show abstract

“…The inverse model can be directly identified using time domain input-output data of an actual plant or inverted using the identified moving average model. Some estimation algorithms are used to identify the system model, such as the recursive least squares (RLS) algorithm (Rigney et al, 2010) and the RLS extended algorithm (RELS) (Shen et al, 2013(Shen et al, , 2016Zhao et al, 2012) and the state-space model method (Cuyper et al, 2003;Vaes et al, 2007). However, the estimated closed-loop model may be a nonminimum phase (NMP) system due to the sample-andhold link that is universal in a digital control system; thus, its direct inverse model is unstable.…”

Section: Introductionmentioning

confidence: 99%

Force tracking control of an electro-hydraulic control loading system on a flight simulator using inverse model control and a damping compensator

Zhao

Shen

Zhu

et al. 2016

Transactions of the Institute of Measurement and Control

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The electro-hydraulic control loading system (EHCLS) of a flight simulator is mainly used to simulate the force feel of flying a real airplane. A doubleloop model, including control and hydraulic mechanism of the EHCLS, is established and its force-displacement impedance is analysed to evaluate force tracking performances and its stability. An approximated feed-forward inverse model controller is designed using a zero phase error compensation method for expanding the frequency bandwidth of the inner loop because the identified force closed-loop model is a nonminimum phase system and its direct inverse model is unstable. Modelling error between the designed feed-forward inverse model and the actual plant is discussed and a damping compensator is presented to increase stability of the EHCLS. Theoretical analysis, simulation and experimental results show that the control methods presented are feasible and can effectively improve force feel fidelity and stability of the EHCLS.

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“…However, how to accurately estimate dynamic models or transfer functions of the REST is a critical issue. Some identification algorithms were employed to estimate dynamic models or transfer functions of the REST, such as the H1 estimator (Guan et al, 2014a, 2014b; Joris et al, 2003), least-squares estimator (Wu et al, 2014; Ziaei and Sepehri, 2000), recursive least-squares algorithm (Zhao et al, 2016a, 2016b) and recursive extended least-squares (RELS) algorithm (Shen et al, 2013a, 2016), adaptive inverse control algorithm (Rigney et al, 2010; Shen et al, 2013b) and state-space model (Joris et al, 2003; Vaes et al, 2007). How to accurately design a stable inverse model using the estimated dynamic model or transfer function is the second critical issue, because the estimated discrete-time model is a non-minimum phase (NMP) system and its direct inverse model is unstable.…”

Section: Introductionmentioning

confidence: 99%

Acceleration waveform replication on six-degree-of-freedom redundant electro-hydraulic shaking tables using an inverse model controller with a modelling error

Shen

Zhu

et al. 2016

Transactions of the Institute of Measurement and Control

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A redundant electro-hydraulic shaking table (REST) of six degrees-of-freedom (6 DOFs) with eight hydraulic actuators is an essential experimental tool in many industrial applications for real-time simulation of actual vibrations, such as structural vibration, earthquake simulation and fatigue testing. In order to obtain a high-fidelity acceleration waveform on the REST, a feed-forward inverse model (FFIM) controller with a modelling error compensator is proposed in this study. A recursive extended least-squares algorithm is employed to identify an acceleration closed-loop transfer function of the REST. A zero phase error compensation technology is employed to guarantee stability of the designed FFIM because the identified acceleration closed-loop transfer function is a typical non-minimum phase system and its direct inverse transfer function is unstable. The modelling error compensator is designed to compensate for the modelling error between the identified transfer function and the actual experimental REST, which deteriorates the acceleration waveform replication accuracy of the REST. A 6 DOF REST experimental system was used to verify the proposed controller. Experimental results demonstrated that the proposed controller gave satisfactory acceleration tracking performances on the REST.

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Multivariable feedback design to improve tracking performance on tractor vibration test rig

Cited by 19 publications

References 20 publications

The Application of the Singular Value Decomposition (SVD) for the Decoupling of the Vibratory Reproduction System of an Aircraft Cabin Simulator

The Application of the Singular Value Decomposition (SVD) for the Decoupling of the Vibratory Reproduction System of an Aircraft Cabin Simulator

Force tracking control of an electro-hydraulic control loading system on a flight simulator using inverse model control and a damping compensator

Acceleration waveform replication on six-degree-of-freedom redundant electro-hydraulic shaking tables using an inverse model controller with a modelling error

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