Active control of flexible systems

Kato, T.,Perturbation Theory for Linear Operators, Springer-Verlag, New York, New York, 1966.

Strang, G., andFix, G.,An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, New Jersey, 1973.

Russell, D.,Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions, University of Wisconsin, Mathematics Research Center, MRC Technical Summary Report No. 1700, 1976.

Fattorini, H.,On Complete Controllability of Linear Systems, Journal of Differential Equations, Vol. 3, pp. 391?402, 1967.

Slemrod, M.,A Note on Complete Controllability and Stabilizability for Linear Control Systems in Hilbert Space, SIAM Journal of Control, Vol. 12, pp. 500?508, 1974.

Larson, V., Likins, P., andMarsh, E.,Optimal Estimation and Attitude Control of a Solar Electric Propulsion Spacecraft, IEEE Transactions on Aerospace and Electronics, Vol. AES-13, pp. 35?47, 1977.

Meirovitch, L., Van Landingham, H., andÖz, H.,Control of Spinning Flexible Spacecraft by Modal Synthesis, Paper Presented at the 27th IAF Congress, Anaheim, California, 1976.

Larson, V., andLikins, P.,An Application of Modern Control Theory to an Elastic Spacecraft, Paper Presented at the ESA Symposium on Dynamics and Control of Non-Rigid Space Vehicles, Frascati, Italy, 1976.

Köehne, M.,Optimal Feedback Control of Flexible Mechanical Systems, Paper Presented at the IFAC Symposium on Distributed Parameter Control Systems, Banff, Canada, 1971.

Skelton, R., andLikins, P.,Techniques of Modelling and Model Error Compensation in Linear Regulator Problems, Advances in Control and Dynamic Systems, Vol. 14, Edited by C. T. Leondes, Academic Press, New York, New York, 1977.

Kwakernaak, H., andSivan, R.,Linear Optimal Control Systems, John Wiley and Sons, New York, New York, 1972.

Kalman, R., andBucy, R.,New Results in Linear Filtering and Prediction Theory, Transactions of ASME, Journal of Basic Engineering, Vol. 83, pp. 95?108, 1961.

Luenberger, D.,An Introduction to Observers, IEEE Transactions on Automatic Control, Vol. AC-16, pp. 596?602, 1977.

Simon, J., andMitter, S.,A Theory of Modal Control, Information and Control, Vol. 13, pp. 316?353, 1968.

Gould, L., Murphy, A., andBerkman, E.,On the Simon-Mitter Pole Allocation Algorithm: Repeated Eigenvalues, IEEE Transactions on Automatic Control, Vol. AC-15, pp. 259?260, 1970.

Bongiorno, J., andYoula, D.,On Observers in Multi-Variable Control Systems, International Journal of Control, Vol. 8, pp. 221?243, 1968.

Chen, C.,Introduction to Linear System Theory, Holt, Rinehart and Winston, New York, New York, 1970.

Noble, B.,Applied Linear Algebra, Prentice-Hall, Englewood Cliffs, New Jersey, 1969.

Ginter, S.,Attitude Stabilization of Large Flexible Satellites, Massachusetts Institute of Technology, Aeronautics and Astronautics Department, MS Thesis, 1978.

Prado, G.,Observability, Estimation, and Control of Distributed Parameter Systems, Massachusetts Institute of Technology, Electronic Systems Laboratory, Report No. ESL-R-457, 1971.

Gustafson, D., andSpeyer, J.,Linear Minimum Variance Filters Applied to Carrier Tracking, IEEE Transactions on Automatic Control, Vol. AC-21, pp. 65?73, 1976.

Viterbi, A.,Principles of Coherent Communication, McGraw-Hill Book Company, New York, New York, 1966.

Balas, M.,Modal Control of Certain Flexible Dynamic Systems, SIAM Journal on Control and Optimization (to appear).

Potter, J.,Matrix Quadratic Solutions, SIAM Journal on Applied Mathematics, Vol. 14, pp. 496?501, 1966.

Balas, M., andCanavin, J.,An Active Modal Control System Philosophy for a Class of Large Space Structures, Paper Presented at the AIAA Symposium on Dynamics and Control of Large Flexible Spacecraft, Blacksburg, Virginia, 1977.

Balas, M.,Observer Stabilization of Singularly Perturbed Systems, AIAA Journal on Guidance and Control, Vol. 1, pp. 93?95, 1978.

Narendra, K., andKudva, P.,Stable Adaptive Schemes for System Identification and Control, Parts I and II, IEEE Transactions on Systems, Man, and Cybernetics, Vol. SMC-4, pp. 542?560, 1974.

Carroll, R., andLindorff, D.,An Adaptive Observer for Single-Input Single-Output Linear Systems, IEEE Transactions on Automatic Control, Vol. AC-18, pp. 428?435, 1973.

Likins, P.,The Application of Multivariable Control Theory to Spacecraft Attitude Control, Paper Presented at the 4th IFAC Symposium on Multivariable Technological Systems, Fredericton, New Brunswick, Canada, 1977.