Transmission Zeros in Structural Control with Collocated Multi-Input/Multi-Output Pairs

Preumont, André; Marneffe, Bruno De; Krenk, Steen

doi:10.2514/1.31529

Cited by 10 publications

(9 citation statements)

References 10 publications

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“…On the other side, with the new proposed control law, the stability is always guaranteed even when using a high-pass filter. These promising results will be extended to decentralized multiple inputs multiple outputs (MIMO) systems in a future work, on the ground of previous studies on MIMO systems, e.g., [10].…”

Section: Discussionmentioning

confidence: 86%

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Enhanced Damping of Flexible Structures Using Force Feedback

Chesné

Milhomem

Collette

2016

Journal of Guidance, Control, and Dynamics

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International audienceDuring the last three decades, several active damping strategies have been proposed, based on the so-called passivity concept, or equivalently, on the power port concept. One of them, known as Integral Force Feedback (IFF) is reviewed in this paper. Actually, the main drawback of the IFF is that high active damping is obtained at the cost of a degradation of the compliance at low frequency, compromising the capability of disturbance rejection. Classically, a trade-off between damping and stiffness can be reached by adequately high pass filtering the control signal. However, the high pass filter poles and zeros often interfere with the plant dynamics, which in turn compromises the guaranteed stability of the IFF. In this paper, a novel type of high pass filter is proposed. It is shown that this modification makes the controller unconditionally stable, and increases drastically the achievable modal damping. Analytic formulas are derived, and illustrated using simple numerical models. The characteristics of the proposed controller are discussed in terms of maximum modal damping and transmissibility

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Section: Discussionmentioning

confidence: 86%

“…Although very attractive on the ground of its simplicity and guaranteed stability, even for multiple inputs multiple outputs (MIMO) systems [10], the IFF still exhibits two limitations.…”

mentioning

confidence: 99%

Enhanced Damping of Flexible Structures Using Force Feedback

Chesné

Milhomem

Collette

2016

Journal of Guidance, Control, and Dynamics

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“…In order to see how the IFF affects the poles of the closed loop system, a Root Locus plot (Figure 7) is constructed as follows: the poles of the closed-loop system are drawn in the complex plane as the controller gain g varies from 0 to ∞ for the two controllers K F simultaneously. As explained in [3,4], the closed-loop poles start at the open-loop poles (shown by ) for g = 0 and coincide with the transmission zeros (shown by ) as g → ∞. The direction of increasing gain is indicated by arrows .…”

Section: Decentralized Integral Force Feedbackmentioning

confidence: 81%

Active damping of rotating platforms using integral force feedback

Dehaeze

Collette

2021

Eng. Res. Express

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This paper investigates the use of Integral Force Feedback (IFF) for the active damping of rotating mechanical systems. Guaranteed stability, typical benefit of IFF, is lost as soon as the system is rotating due to gyroscopic effects. To overcome this issue, two modifications of the classical IFF control scheme are proposed. The first consists of slightly modifying the control law while the second consists of adding springs in parallel with the force sensors. Conditions for stability and optimal parameters are derived. The results reveal that, despite their different implementations, both modified IFF control scheme have almost identical damping authority on suspension modes.

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“…The physical interpretation of transmission zeros is very well understood based on the resonances of the constrained subsystems of the flexible structures with collocated dual SA pair(s) for single-input-single-output (SISO) systems (Miu, 1991; Williams, 1992a), for multi-input-multi-output (MIMO) systems (Bona et al, 1996; Calafiore et al, 1997; Preumont et al, 2008), and for MIMO mass-dashpot-spring systems with non-collocated SA pair(s) (Lin, 1999). Calafiore (1997) identified that the zero modes are closely related to the energetically isolated subsystems of the original system in the case of linear MIMO flexible mechanical systems.…”

Section: Introductionmentioning

confidence: 99%

On transmission Zeros of piezoelectric structures

Pathak

Piron

Paknejad

et al. 2021

Journal of Intelligent Material Systems and Structures

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The evaluation of transmission zeros is of great importance for the control engineering applications. The structures equipped with piezoelectric patches are complex to model and usually require finite element approaches supplemented by model reduction. This study rigorously investigates the influence of mesh size, model reduction, boundary conditions (free and clamped), and sensor/actuator configuration (collocated and non-collocated) on the evaluation of transmission zeros of the piezoelectric structures. The numerical illustrations are presented for a thin rectangular plate equipped with a single pair of piezoelectric voltage sensor/ voltage actuator. Through the examples considered in this study, a link is presented between the static response (or static deflected shape) and the transmission zeros of the piezoelectric structures. This interesting observation forms the basis of: (i) a local mesh refinement strategy for computationally efficient estimation of the transmission zeros and (ii) a physical interpretation of the pole-zero pattern in the case of piezoelectric structures. The physical interpretation developed in this study helps in qualitatively explaining the pole-zero patterns observed for different configurations. It is also shown that this understanding of the relation between the static deformed shape and the transmission zeros can be used by the practitioners to modify the pole-zero pattern through a careful selection of the orientation and the size of the piezoelectric patches.

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Transmission Zeros in Structural Control with Collocated Multi-Input/Multi-Output Pairs

Cited by 10 publications

References 10 publications

Enhanced Damping of Flexible Structures Using Force Feedback

Enhanced Damping of Flexible Structures Using Force Feedback

Active damping of rotating platforms using integral force feedback

On transmission Zeros of piezoelectric structures

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