Modal control of large flexible space structures using collocated actuators and sensors

The authors consider the problem of assigning the eigenvalues associated with critical modes of a large flexible space structure into a specified region in the left-half plane via direct velocity feedback control (DVFC) using collocated actuators and sensors. Conditions for the existence of a DVFC using collocated actuators and sensors that can achieve the eigenvalue assignment are derived. When there exist nonunique feasible DVFCs, the one with least Frobenius norm feedback gain is determined. An experimental four-bay truss is used to illustrate the results. >

[1]  Mark J. Balas,et al.  Trends in large space structure control theory: Fondest hopes, wildest dreams , 1982 .

[2]  M. Balas Direct Velocity Feedback Control of Large Space Structures , 1979 .

[3]  Huang Lin,et al.  Root locations of an entire polytope of polynomials: It suffices to check the edges , 1987, 1987 American Control Conference.

[4]  Gene H. Golub,et al.  Matrix computations , 1983 .

[5]  B. O. Anderson,et al.  Robust Schur polynomial stability and Kharitonov's theorem , 1987, 26th IEEE Conference on Decision and Control.

[6]  Ezra Zeheb,et al.  On robust Hurwitz and Schur polynomials , 1986 .

[7]  Panos J. Antsaklis,et al.  Limitations of vibration suppression in flexible space structures , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[8]  Leang S. Shieh,et al.  Stability of the second-order matrix polynomial , 1987 .

[9]  V. Kharitonov Asympotic stability of an equilibrium position of a family of systems of linear differntial equations , 1978 .

[10]  N. K. Bose,et al.  Kharitonov's theorem and stability test of multidimensional digital filters , 1986 .

[11]  B. R. Barmish,et al.  Robust Schur stability of a polytope of polynomials , 1988 .

[12]  Christopher V. Hollot,et al.  Some discrete-time counterparts to Kharitonov's stability criterion for uncertain systems , 1986 .

[13]  Brian D. O. Anderson,et al.  Strong Kharitonov theorem for discrete systems , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[14]  Ezra Zeheb,et al.  Necessary and sufficient conditions for root clustering of a polytope of polynomials in a simply connected domain , 1989 .

[15]  B. Barmish A Generalization of Kharitonov's Four Polynomial Concept for Robust Stability Problems with Linearly Dependent Coefficient Perturbations , 1988, 1988 American Control Conference.