Order reduction and control of large-scale linear time periodic dynamical systems

Proceedings of the ASME Design Engineering Technical Conference

Volumn 7B-1999, Issue , 1999, Pages 2569-2575

  Deshmukh, Venkatesh ^a   Sinha, S C ^a  

^a AUBURN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; DIFFERENTIAL EQUATIONS; DYNAMICAL SYSTEMS; LINEAR SYSTEMS; NONLINEAR CONTROL SYSTEMS; STATE FEEDBACK; SYSTEM STABILITY; VIBRATIONS (MECHANICAL);

LEAST SQUARE ERRORS; LINEAR TIME-PERIODIC SYSTEM; OUTPUT FEEDBACK CONTROLLER; PARAMETRIC INSTABILITIES; REDUCED ORDER CONTROLLERS; REDUCED ORDER SYSTEMS; TIME PERIODIC COEFFICIENTS; TIME-VARYING DOMAINS;

CONTROLLERS;

EID: 12344322912     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC99-VIB-8320     Document Type: Conference Paper

References (14)

1. Aoki M., 1968, "Control of Large-Scale Dynamic Systems by Aggregation", IEEE Transaction on Automatic Control, Vol. AC-13, 246-253.
2. Balas M. J. and Yung J. L., "Controller Design of Periodic Time-Varying system", to appear in AIAA Journal of Guidance, Control and Dynamics.
3. Bellman R.E., 1953, Stability Theory of differential Equations, McGraw-Hill.
4. Boghiu D., Sinha S. C. and Marghitu D. B., 1998, "Stability and Control of a Parametrically Excited Rotating System. Part II: Controls", Dynamics and control,8, 19-35.
5. Butcher E. A. and Sinha S. C, 1996, " A Hybrid Formulation for The Analysis of Time Periodic Linear Systems via Chebyshev Polynomials", Journal of Sound and Vibration, 195(3), 518-527.
6. Henrichs J. T., 1997, M. S. Dissertation, Auburn University.
7. Keel L. H., Bhattacharyya S. P. and Howze W. Jo, 1988, "Robust Control With Structured Perturbation", IEEE Transaction on Automatic Control, Vol. 33, No. 1,68-77.
8. Kwakernaak H. and Sivan R., 1972, Linear Optimal Control Systems, Wiley Interscience.
9. Mahmood M. S. and Singh M. G., 1981, Large Scale Systems Modeling, Pergamon Press, Oxford, England.
10. Mahmood M. S., Hassan M. F. and Darwish M. G., 1985, Large Scale control Systems: Theories and Techniques, Dekker.
11. Sinha S. C. and Joseph P., 1994;, "Control of General Dynamic systems With Periodically Varying Parameters via Ly apunov-Floquet Transformation", Transactions of The ASME, Journal of Dynamic Systems, Measurement and Control, Vol. 116, 650-658.
12. Sinha S. C, Pandiyan R., Bibb J. S., 1996, "Liapunov-Floquet Transformation: Computation and Applications to Periodic Systems", Journal of Vibration and Acoustics, Vol. 118, 209-219.
13. Sinha S.C. and Wu D.H., 1991, "An Efficient Computational Scheme For The Analysis of Periodic Systems", Journal of sound and vibration, 151(1), 91-117.
14. Utkin V. I., 1992, Sliding Modes in Control and Optimization, Springer-Verlag.