Optimal Placement of Active Elements in Control Augmented Structural Synthesis

A methodology for structural/control synthesis is presented in which the optimal location of active members is treated in terms of (0,1) variables. Structural member sizes, control gains, and (0,1) placement variables are treated simultaneously as design variables. Optimization is carried out by generating and solving a sequence of explicit approximate problems using a branch and bound strategy. Intermediate design variable and intermediate response quantity concepts are used to enhance the quality of the approximate design problems. Numerical results for example problems are presented to illustrate the efficacy of the design procedure set forth.

[1]  J. A. Garba,et al.  Experimental studies of active members in control of large space structures , 1988 .

[2]  Lucien A. Schmit,et al.  Improved approximations for dynamic displacements using intermediate response quantities , 1990 .

[3]  Abdon Sepulveda,et al.  Optimal placement of actuators and sensors in control‐augmented structural optimization , 1991 .

[4]  Hanif D. Sherali,et al.  The design of branch and bound algorithms for a class of nonlinear integer programs , 1986 .

[5]  J. Junkins,et al.  A Sequential Linear Optimization Approach for Controller Design , 1985 .

[6]  R. A. Canfield,et al.  An approximation function for frequency constrained structural optimization , 1989 .

[7]  G. C. Horner,et al.  Optimum actuator placement, gain, and number for a two-dimensional grillage , 1983 .

[8]  Raphael T. Haftka,et al.  THE EFFECT OF SENSOR AND ACTUATOR ERRORS ON STATIC SHAPE CONTROL FOR LARGE SPACE STRUCTURES , 2009 .

[9]  J. Garba,et al.  Optimal placement of excitations and sensors by simulated annealing , 1989 .

[10]  Di Chiu,et al.  Selecting measurements and controls in LQG problems , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[11]  E. Anderson,et al.  Development of an active member using piezoelectric and electrostrictive actuation for control of precision structures , 1990 .

[12]  E. Salajegheh,et al.  New Approximation Method for Stress Constraints in Structural Synthesis , 1989 .

[13]  L. Schmit,et al.  Approximation concepts for efficient structural synthesis , 1976 .

[14]  Ik M. Jin,et al.  Optimal placement of active elements in control augmented structuralsynthesis , 1992 .

[15]  Abdon Sepulveda,et al.  Improved approximations for control augmented structural synthesis , 1992 .

[16]  Raphael T. Haftka,et al.  Optimum placement of controls for static deformations of space structures , 1984 .

[17]  J. L. Fanson,et al.  Active-member control of precision structures , 1989 .

[18]  T. Soong,et al.  Optimal controller placement in modal control of complex systems , 1980 .

[19]  R. S. Ryan,et al.  Dynamics and control of large space structures , 1984 .