Optimal Piezoelectric sensor/actuator placement of cable net structures using H 2-norm measures

Active vibration control of cable net structures is becoming significant when large-size cable net structures are widely applied in various engineering fields, especially in satellite antennas. The placement of actuators and sensors will have a major influence on the control efficiency. This paper develops an H 2-norm strategy for the optimal placement of sensors/actuators in controlled flexible cable net structures with active cables constructed by incorporating piezoelectric actuator into flexible cables. The dynamic model of cable net structures with active cables is established using a finite-element method. The optimization indexes for actuator and sensor locations are unified to an H 2-norm of the closed-loop transfer matrix from the disturbance to the controlled output. A genetic algorithm is used to solve the resulting nonlinear optimization problem. The numerical examples of the flexible cable net structure widely applied to the parabolic reflectors of space antennas have been analyzed, and the results show that the proposed computational scheme is effectiveness for the optimal sensors/actuator placement problem of cable net structures with active cables.

[1]  Naif B. Almutairi,et al.  Control of Vibrations due to Moving Loads on Suspension Bridges , 2006 .

[2]  Michael A. Demetriou,et al.  A computational scheme for the optimal sensor/actuator placement of flexible structures using spatial H2 measures , 2006 .

[3]  Dikai Liu,et al.  Combinatorial optimal design of number and positions of actuators in actively controlled structures using genetic algorithms , 2004 .

[4]  K. Tai,et al.  Topology optimization of piezoelectric sensors/actuators for torsional vibration control of composite plates , 2006 .

[5]  Yeesock Kim,et al.  Multi-objective genetic algorithms for cost-effective distributions of actuators and sensors in large structures , 2012, Expert Syst. Appl..

[6]  S. O. Reza Moheimani,et al.  An optimization approach to optimal placement of collocated piezoelectric actuators and sensors on a thin plate , 2003 .

[7]  Li Qiu.  Essentials of robust control: Kemin Zhou, John C. Doyle Prentice-Hall, Englewood Cliffs, NJ, 1998, ISBN: 0-13-790874-1 , 2002, Autom..

[8]  Makola M. Abdullah,et al.  Placement of sensors/actuators on civil structures using genetic algorithms , 2001 .

[9]  H. F. Tiersten,et al.  Linear Piezoelectric Plate Vibrations , 1969 .

[10]  Michael A. Demetriou,et al.  Integrated Actuator–Sensor Placement and Hybrid Controller Design of Flexible Structures Under Worst Case Spatiotemporal Disturbance Variations , 2004 .

[11]  J. Doyle,et al.  Essentials of Robust Control , 1997 .

[12]  Tuanjie Li,et al.  Active shape adjustment of cable net structures with PZT actuators , 2013 .

[13]  Mark W. Thomson,et al.  ASTROMESH™ DEPLOYABLE REFLECTORS FOR KU- AND KA-BAND COMMERCIAL SATELLITES , 2002 .

[14]  Hisham Abou-Kandil,et al.  Piezoelectric actuators and sensors location for active control of flexible structures , 2001, IEEE Trans. Instrum. Meas..

[15]  Tuanjie Li,et al.  Robust vibration control of flexible cable-strut structure with mixed uncertainties , 2011 .

[16]  Sinan Korkmaz,et al.  Review: A review of active structural control: challenges for engineering informatics , 2011 .

[17]  Iago Gonzalez Quelle,et al.  Cable Roofs. Evolution, Classification and Future Trends , 2009 .

[18]  Ulrich Gabbert,et al.  Optimal placement of distributed actuators for a controlled smart elastic plate , 2003 .

[19]  L H Yam,et al.  Optimal design of number and locations of actuators in active vibration control of a space truss , 2002 .

[20]  J. Reddy.  An introduction to nonlinear finite element analysis , 2004 .

[21]  K. Lim.  Method for Optimal Actuator and Sensor Placement for Large Flexible Structures , 1992 .

[22]  Nam-Ho Kim.  Introduction to Nonlinear Finite Element Analysis , 2014 .

[23]  Hemanshu R. Pota,et al.  The optimal placement of actuator and sensor for active noise control of sound–structure interaction systems , 2008 .