Design of devices for protecting civil structures using fixed-order ℋ∞ control

Poncela, Alfonso; Casado, Carlos M.; Baeyens, Enrique; Perán, José R.

doi:10.1002/stc.156

Cited by 9 publications

(8 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The optimisation of the TMD parameters was carried out using a methodology based on the design of an H ∞ static output feedback controller , which is a method recommended for structures that are excited by mainly periodical loads. This method is just used to optimise the stiffness and damping of the TMD.…”

Section: Passive Controlmentioning

confidence: 99%

“…In this figure,

\underline{P} (s)

is the transfer function matrix of the structure with the TMD attached,

\underset{K}{true}

is a static matrix of controller gains, w is the disturbance input,

\underset{u}{true}

is vector of control inputs, z is the controlled output and

\underset{y}{true}

is the vector of measured outputs. It has been demonstrated that the transfer function matrix of the structure TMD can be transformed into the feedback system of Figure in which the TMD stiffness, k T , and damping, c T , play the role of feedback control gains. The optimisation problem obtains k T and c T for a given mass ratio ( μ ) between the TMD mass and the modal mass, such that

min_{k_{T}, c_{T} \in ℝ^{+}} {(‖‖, G_{zw} ((), k_{1}, c_{1}, μ, k_{T}, c_{T}))}_{\infty},

where ‖ · ‖ ∞ is the H ∞ ‐norm, G zw is the closed‐loop transfer function between z (the acceleration at the control point) and w (pedestrian force) and k 1 and c 1 are the structure stiffness and damping corresponding to the first vibration mode.…”

Section: Passive Controlmentioning

confidence: 99%

“…It was decided to install the designed damping devices at the point in which the first bending mode shape has its maximum value, which is close to the mid‐span. The TMD, with an inertial mass ratio of approximately 1% of the modal mass of the targeted vibration mode, was designed by a numerical method based on H ∞ controllers . The mass value of 1% of modal mass was found to be enough to keep the vibration level for a synchronised walker and runner within most of the limit values provided by current codes .…”

Section: Introductionmentioning

confidence: 99%

“…Some preliminary results obtained from the AVC strategy were presented in . The design of both devices has been carried out using methodologies developed by some of the authors of the present paper and applied to the Valladolid Science Museum Footbridge, which is an example of a flexible in‐service footbridge. The performance of both devices is evaluated in this paper.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Implementation of passive and active vibration control on an in-service footbridge

Casado¹,

Díaz

Sebastián³

et al. 2011

Struct. Control Health Monit.

View full text Add to dashboard Cite

The current trend toward lighter and slender pedestrian structures, with new aesthetic requirements and highperformance materials, has resulted in structures with increased susceptibility to vibration. Notable vibrations under human-induced excitations might appear, and the vibration serviceability requirements might not be accomplished. The Valladolid Science Museum Footbridge (Spain) is an example of a lively structure that might achieve excessive vertical acceleration under walking or running excitation. The control of excessive footbridge vibrations via passive and active devices is dealt with in this work. More specifically, this paper is concerned with the design and experimental implementation of a passive tuned mass damper (TMD) and an active mass damper (AMD) to mitigate human-induced vibrations on this in-service footbridge. The TMD, with a mass ratio of 1%, is designed by a numerical method based on H ∞ controllers. The AMD consists of a proof-mass actuator, with a mass ratio of approximately 0.2%, controlled by a strategy based on acceleration feedback with a phase-lag network. The performance of both devices has been assessed. structure to reduce the human influence, a proportional increase of stiffness being also necessary; and (iv) increasing the damping of the structure with special devices. Taking into account that stiffening the structure and increasing the mass are usually complicated and involve significant structural and non-structural changes, the alternative option of including damping devices to the structure seems to be the easiest way of improving the vibration performance of footbridges. Typical passive damping systems [6] are metallic dampers, friction dampers, visco-elastic dampers, viscous dampers, tuned mass dampers (TMDs) and tuned liquid dampers (TLDs). Among passive control devices available for implementation in footbridges, TMDs [7,8] (including parallel multiple TMDs [9] and series multiple TMDs [10]), TLDs [11] and fluid-viscous dampers are the most effective and, hence, the usual adopted solution [12].An alternative procedure to cancel footbridge vibrations is the use of active devices. Moutinho et al. [13] have recently implemented an active vibration control (AVC) on a stress-ribbon footbridge using a proof-mass actuator together with direct velocity feedback control (DVFC) with saturation. This actuator generates inertial forces in the structure without need for a fixed reference. The velocity output, which is obtained by an integrator circuit applied to the measured acceleration response, is multiplied by a gain and feeds back to a collocated actuator. The term collocated means that the actuator and sensor are located physically at the same point on the structure. The merits of this method are its robustness to spillover effects due to high-order unmodelled dynamics and that it is unconditionally stable in the absence of actuator and sensor (accelerometer with an integrator circuit) dynamics [14]. Nonetheless, when such dynamics are considered, the stability for high gai...

show abstract

Section: Passive Controlmentioning

confidence: 99%

“…In this figure,

\underline{P} (s)

is the transfer function matrix of the structure with the TMD attached,

\underset{K}{true}

is a static matrix of controller gains, w is the disturbance input,

\underset{u}{true}

is vector of control inputs, z is the controlled output and

\underset{y}{true}

min_{k_{T}, c_{T} \in ℝ^{+}} {(‖‖, G_{zw} ((), k_{1}, c_{1}, μ, k_{T}, c_{T}))}_{\infty},

Section: Passive Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Implementation of passive and active vibration control on an in-service footbridge

Casado¹,

Díaz

Sebastián³

et al. 2011

Struct. Control Health Monit.

View full text Add to dashboard Cite

show abstract

“…In recent years active tuned mass dampers (ATMD) were also presented where an actuator is placed generally parallel to the spring and damper. Various control strategies have been proposed with ATMD equipped buildings such as LQR control (Fujita, 1994), fuzzy logic control (Guclu and Yazici, 2008), H ∞ control (Poncela et al, 2007) and backstepping control (Hacioglu and Yagiz, 2012).…”

Section: Introductionmentioning

confidence: 99%

Suppression of Building Vibrations Using PD+PI Type Fuzzy Logic Controller

Hacioğlu

2014

Proceedings of the International Conference on Fuzzy Computation Theory and Applications

View full text Add to dashboard Cite

In order to bring the useful properties of PD and PI type fuzzy logic controllers together, a PD+PI type fuzzy logic controller for vibration suppression of a building was presented in this study. The building has nine storeys and an active tuned mass damper was placed on the top floor. The building model was excited with a real earthquake ground motion. The results have shown that designed controller attenuated the building vibrations successfully.

show abstract

A general vibration control methodology for human‐induced vibrations

Wang

Pereira

García‐Palacios

et al. 2019

Struct Control Health Monit

View full text Add to dashboard Cite

Summary This paper proposes a general methodology for the design of vibration control of human‐induced vibrations. This uses a feedback loop for the design of control parameters and accounts for the nature of human excitation and how humans feel the vibration. The methodology developed considers not only single‐input single‐output control systems but also multi‐input multi‐output control systems, especially useful to cancel vibrations coming from modes with closely spaced natural frequencies. The strategy finds simultaneously the optimal placements of a set of inertial mass dampers and the design parameters (control gain matrix for active vibration control, damping ratios and tuning frequencies of tuned mass dampers for passive vibration control). To make this strategy implementable and suitable to human‐induced vibrations, elements such as input‐output frequency weighting, output time weighting, band‐pass filters, actuator dynamics, and nonlinearities are considered within the design. The proposed methodology is illustrated in an application example on a realistic open‐layout floor by designing single‐input single‐output and multi‐input multi‐output active and passive strategies with one and two dampers. Simulation tests are carried out to evaluate the performance of the controllers in terms of their vibration reduction capacity using a performance index indicator.

show abstract

Design of devices for protecting civil structures using fixed-order ℋ∞ control

Cited by 9 publications

References 11 publications

Implementation of passive and active vibration control on an in-service footbridge

Implementation of passive and active vibration control on an in-service footbridge

Suppression of Building Vibrations Using PD+PI Type Fuzzy Logic Controller

A general vibration control methodology for human‐induced vibrations

Contact Info

Product

Resources

About