Robust multivariable control of large space structures using positivity

This paper examines the robust, multivariable control of large space structures by controllers designed on a reduced-order model using positivity concepts. Controllers are designed using the DRAPER I and DRAPER II structures. Three different controller methodologies are compared: the familiar multivariable control, individual modal control, and individual sensor control. Controller robustness is measured qualitatively from the plots of the minimum singular value of the return difference matrix as a function of the frequency. All controllers, when designed to give the same total average control cost, have a very similar line-of-sight response. In addition, closed-loop stability can be maintained in the event of sensor and/or actuator failure.

[1]  B. Anderson.  A SYSTEM THEORY CRITERION FOR POSITIVE REAL MATRICES , 1967 .

[2]  A. Laub,et al.  Feedback properties of multivariable systems: The role and use of the return difference matrix , 1981 .

[3]  T. C. Henderson.  Active Control of Space Structures (ACOSS) model 2 , 1983 .

[4]  Arthur L. Hale,et al.  Optimal simultaneous structural and control design of maneuvering flexible spacecraft , 1985 .

[5]  L. Litz,et al.  State decomposition for singular perturbation order reduction—A modal approach† , 1981 .

[6]  M. Takahashi,et al.  Design of a flutter mode controller using positive real feedback , 1984 .

[7]  H. B. Hablani,et al.  Stochastic response analysis, order reduction, and output feedback controllers for flexible spacecraft , 1985 .

[8]  A. Arbel,et al.  Robust colocated control for large flexible space structures , 1981 .

[9]  R. P. Iwens,et al.  Stability of Large Space Structure Control Systems Using Positivity Concepts , 1981 .

[10]  V. Mukhopadhyay,et al.  A multiloop system stability margin study using matrix singular values. [for wing flutter suppression and drone lateral attitude control] , 1984 .

[11]  C. Gregory.  Reduction of large flexible spacecraft models using internal balancing theory , 1984 .

[12]  Daniel J. Inman,et al.  Modal decoupling conditions for distributed control of flexible structures , 1984 .

[13]  L. Meirovitch.  Analytical Methods in Vibrations , 1967 .

[14]  G. Slater.  Flutter mode suppression using hyperstable feedback , 1982 .

[15]  H. Kaufman,et al.  Some Applications of Direct Adaptive Control to Large Structural Systems , 1983, 1983 American Control Conference.