Control of a flexible planar truss using proof mass actuators

A flexible structure was modeled and actively controlled by using a single space realizable linear proof mass actuator. The NASA/UVA/UB actuator was attached to a flexible planar truss structure at an optimal location and it was considered as both passive and active device. The placement of the actuator was specified by examining the eigenvalues of the modified model that included the actuator dynamics, and the frequency response functions of the modified system. The electronic stiffness of the actuator was specified, such that the proof mass actuator system was tuned to the fourth structural mode of the truss by using traditional vibration absorber design. The active control law was limited to velocity feedback by integrating of the signals of two accelerometers attached to the structure. The two lower modes of the closed-loop structure were placed further in the LHS of the complex plane. The theoretically predicted passive and active control law was experimentally verified.

[1]  Daniel J. Inman,et al.  Model improvement by pole placement methods , 1989 .

[2]  Clive L. Dym,et al.  Energy and Finite Element Methods In Structural Mechanics : SI Units , 2017 .

[3]  T. Caughey,et al.  Classical Normal Modes in Damped Linear Dynamic Systems , 1960 .

[4]  A. Berman,et al.  System identification of structural dynamic models Theoretical and practical bounds , 1984 .

[5]  E.Y. Shapiro,et al.  Eigenstructure Assignment for Linear Systems , 1983, IEEE Transactions on Aerospace and Electronic Systems.

[6]  Jin Lu,et al.  Optimal Controller Placements in Large Scale Linear Systems , 1989, 1989 American Control Conference.

[7]  D. Kammer.  An optimum approximation for residual stiffness in linear system identification , 1987 .

[8]  S. R. Ibrahim,et al.  The Experimental Determination of Vibration Parameters from Time Responses , 1976 .

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

[10]  D. C. Zimmerman,et al.  Microprocessor controlled force actuator , 1986 .

[11]  Jer-Nan Juang.  Optimal design of a passive vibration absorber for a truss beam , 1983 .

[12]  D. Inman,et al.  Matching Finite Element Models to Modal Data , 1990 .

[13]  R. W. Mayne,et al.  Motor characteristics in the control of a compliant load , 1986 .

[14]  A. Berman,et al.  Improvement of a Large Analytical Model Using Test Data , 1983 .

[15]  Edward F. Crawley,et al.  Theoretical and experimental investigation of space-realizable inertial actuation for passive and active structural control , 1988 .

[16]  T. R. Kane,et al.  Dynamics of a cantilever beam attached to a moving base , 1987 .