Optimal actuators placements for the active control of flexible structures

Ibidapo-Obe, O.

doi:10.1016/0022-247x(85)90094-0

Cited by 26 publications

(16 citation statements)

References 2 publications

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“…In [24] it is shown that the minimum force actuator locations for plate deformations are at the maximum values of the dominant plate eigenmodes. Similar conclusions are drawn in [5] where the spatial H 2 norm is used to measure the actuators dominance on a particular mode.…”

Section: Minimum Force Actuator Placementmentioning

confidence: 98%

“…With this assumption, it follows W k,n (r, θ) = f k,n (r) cos(kθ), (24) where the symmetry results of the cos(.) parts of (24) can be transfered to the sin(.)…”

Section: Geometric Properties Of Circular Plate Bending Modesmentioning

confidence: 99%

“…Due to the symmetry properties found in Section IV, it is sufficient to concentrate on circular sections θ ∈ [0, 2π/k] , k ∈ N of the eigenmodes (24) and apply the results to the full angular domain afterwards. The maximum values of the eigenmodes W i (r, θ) are found by separation of variables as…”

Section: Minimum Force Actuator Placementmentioning

confidence: 99%

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Actuator placement for minimum force modal control of continuous faceplate deformable mirrors

Ruppel

Sawodny

2010

2010 IEEE International Conference on Control Applications

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A mechanically motivated strategy for determining actuator locations for minimum force modal control of continuous faceplate deformable mirrors in adaptive optics systems is proposed. It is shown that numerically or analytically derived eigenmodes of deformable mirrors can be used to determine optimal positions for a limited number of actuators. The actuators considered in this framework may either be of displacement type or of force type. Moreover, the presented methodology can be adapted to momentum actuators.

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Section: Minimum Force Actuator Placementmentioning

confidence: 98%

“…With this assumption, it follows W k,n (r, θ) = f k,n (r) cos(kθ), (24) where the symmetry results of the cos(.) parts of (24) can be transfered to the sin(.)…”

Section: Geometric Properties Of Circular Plate Bending Modesmentioning

confidence: 99%

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Actuator placement for minimum force modal control of continuous faceplate deformable mirrors

Ruppel

Sawodny

2010

2010 IEEE International Conference on Control Applications

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“…In the sample control system of benchmark paper, the placements of sensors and actuators are not optimal. The acceleration sensors are located on stories 4,8,12,16,20 that are shown in Figure 3. As it is indicated in the following, this distribution is not optimal.…”

Section: Sample Lqg Control Systemmentioning

confidence: 99%

“…(1984) [10] discussed the appropriate number and placement of devices based on modal control. Vander Velde et al (1984) [11] focused on structural failure modes to place the devices, and some other works performed by Ibidapo (1985) [12] and Cheng et al (1988) [13]. Most of these methods are often problem specific.…”

Section: Introductionmentioning

confidence: 99%

Evolutionary Constrained Design of Seismically Excited Buildings: Sensor Placement

Rowhanimanesh

Khajekaramodin

Akbarzadeh-T

2009

Advances in Intelligent and Soft Computing

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Abstract. Appropriate sensor placement can strongly influence the control performance of structures. However, there is not yet a systematic method for sensor placement. In this paper, a general method based on a proposed constrained GA is suggested to optimally place sensors in structures. The optimal placement scheme is general for passive, active and semi-active controls and it does not depend on the control strategy and nonlinear dynamics of the control system. Due to low cost, high reliability, control effectiveness as well as installation simplicity, acceleration type sensors are considered. The proposed method is applicable to new or existing buildings, as the accelerometer placement is trivial. The efficiency of proposed method is evaluated on the benchmark building for placement of 5 and 3 sensors. The results show that the performance of control system with 5 and even 3 optimally placed sensors is at least 8% better than the original benchmark building design with 5 sensors. Generally, the proposed method is a simple and efficient practical approach to achieve improved performance using the fewest number of instruments.

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Smart system design for a 3D base-isolated benchmark building

Wang

Dyke

2008

Struct. Control Health Monit.

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The application of control technologies to structures is expected to enhance a structure's performance in response to natural hazards. This study focuses on the development of control design strategies suitable for smart base isolation systems. The phase I benchmark problem for 3D base-isolated buildings is used as a case study to facilitate a direct comparison with the results of other designs. The smart base isolation system consisting of passive isolators and controllable semiactive devices at the base is employed for the demonstration and validation of these strategies. Magnetorheological (MR) dampers are used as the control devices and are placed in parallel with the isolation system. An H 2 /LQG control algorithm is used to determine the nominal control action and is used in conjunction with a clipped optimal decision block. Effective design for this complex system requires the use of control device and sensor placement techniques achieved with the consideration of the structure's physical properties. The use of correlation is also proposed to minimize redundancies in the placement of the sensors and devices. Simulation results demonstrate that the control technique is effective in improving the structural performance for a variety of earthquakes. Normalized inter-story driftJ 5 ðqÞ ¼ max t;f jja f ðt; qÞjj max t;f jj# a f ðt; qÞjj 3. Normalized floor acceleration J 4 ðqÞ ¼ max t;f jjd f ðt; qÞjj max t;f jj # d f ðt; qÞjj 4. Normalized RMS base drift J 7 ðqÞ ¼ max i jjs d ðt; qÞjj max i jjs # d ðt; qÞjj 5. Normalized RMS inter-story drift J 11 ðqÞ ¼ max f jjs d f ðt; qÞjj max f jjs # d f ðt; qÞjj 6. Normalized RMS floor accelerations J 8 ðqÞ ¼ max f jjs a ðt; qÞjj max f jjs # a ðt; qÞjj Y. WANG AND S. DYKE 942

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Optimal actuators placements for the active control of flexible structures

Cited by 26 publications

References 2 publications

Actuator placement for minimum force modal control of continuous faceplate deformable mirrors

Actuator placement for minimum force modal control of continuous faceplate deformable mirrors

Evolutionary Constrained Design of Seismically Excited Buildings: Sensor Placement

Smart system design for a 3D base-isolated benchmark building

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