Optimal actuator/sensor location for active noise regulator and tracking control problems

Journal of Computational and Applied Mathematics

Volumn 114, Issue 1, 2000, Pages 137-158

  Fahroo, Fariba ^a   Demetriou, Michael A ^b  

^a NAVAL POSTGRADUATE SCHOOL   (United States)

^b Worcester Polytechnic Institute   (United States)

Author keywords

Active noise control; Linear quadratic tracking; Optimal location of sensors and actuators; Output feedback

Indexed keywords

ACTUATORS; CONTROL SYSTEM ANALYSIS; FEEDBACK CONTROL; HARMONIC ANALYSIS; LINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; SENSORS;

ACTIVE NOISE CONTROL; LINEAR QUADRATIC TRACKING;

ACOUSTIC VARIABLES CONTROL;

EID: 0033897353     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00293-9     Document Type: Article

References (24)

1. B. Anderson, S. Vongpanitlerd, Network Analysis and Synthesis: A Modern Systems Theory Approach, Prentice-Hall, Englewood Cliffs, NJ, 1973.
2. H.T. Banks, F. Fahroo, Legendre-Tau approximations for LQR feedback control of acoustic pressure fields, J. Math. Systems Estimation Control 5 (2) (1995) (Summary) 271.
3. H.T. Banks, K. Ito, C. Wang, Exponentially stable approximations of weakly damped wave equations, In: W. Desch, F. Kappel, K. Kunisch (Eds.), Estimation and Control of Distributed Parameter Systems, Birkhauser, Basel, 1991, p. 1.
4. H.T. Banks, S.L. Keeling, R.J. Silcox, Optimal control techniques for active noise suppression, LCDS/CCS 88-26, September, 1988, Proceedings of 27th IEEE Conference on Decision and Control, Austin, TX, December, 1988, p. 2006.
5. H.T. Banks, S.L. Keeling, R.J. Silcox, Active control of propeller induced noise fields, Center for Research in Scientific Computation Report, CRSC-TR94-16, N.C. State University, October 1994.
6. H.T. Banks, G. Probst, R.J. Silcox, Groups generated by wave-duct acoustics with impedance boundary conditions, Center for Applied Mathematical Sciences Rep., CAMS-90-10, University of Southern California, September 1990.
7. H.T. Banks, G. Probst, R.J. Silcox, The comparison of time domain boundary conditions for acoustic waves in wave guides, ICASE Rep. No. 91-27, 1991, NASA Langley Res. Ctr., Hampton, VA.
8. Bullmore A.J., Nelson P.A., Curtis R.D., Elliot S.J. The active minimization of harmonic enclosed sound fields, part II: a computer simulation. J. Sound Vib. 117(1):1987;15.
9. Clark R.L., Cole D.G. Active damping of enclosed sound fields through direct rate feedback control. J. Acoust. Soc. Am. 97(3):1995;1710.
10. P. Dorato, C. Abdallah, V. Cerone, Linear-Quadratic Control: An Introduction, Prentice-Hall, Englewood Cliffs, NJ, 1995.
11. Elliot S.J., Curtis R.D., Bullmore A.J., Nelson P.A. The active minimization of harmonic enclosed sound fields, part III: experimental verification. J. Sound Vib. 117(1):1987;35.
12. Fahroo Fariba Optimal placement of controls for a one-dimensional active noise control problem. Kybernetika. 34(6):1998;655.
13. P.E. Gill, W. Murray, M.H. Wright, Practical Optimization, Academic Press, London, 1981.
14. D. Gottlieb, S.A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications, SIAM Publications, Philadelphia, 1977.
15. Kalman R.E. Lyapunov functions for the problem of lure in automatic control. Proc. Nat. Acad. Sci. USA. 49:1963;201.
16. Levine W.S., Athans M. On the determination of the optimal constant output feedback gains for linear multivariable systems. IEEE Trans. Automat. Control. AC-15(1):1970;44.
17. F.L. Lewis, V.L. Syrmos, Optimal Control, Wiley Interscience, New York, 1995.
18. K.S. Narendra, A.M. Annaswamy, Stable Adaptive Systems, Prentice-Hall, Englewood Cliffs, NJ, 1989.
19. Nelson P.A., Curtis R.D., Elliot S.J., Bullmore A.J. The active minimization of harmonic enclosed sound fields, part I: theory. J. Sound Vib. 117(1):1987;1.
20. P.A. Nelson, S.J. Elliot, Active Control of Sound, Academic Press, San Diego, CA, 1992.
21. V.M. Popov, Hyperstability of Control Systems, Springer, Berlin, 1973.
22. Rauter T., Sachs E.W. Computational design of optimal output feedback controllers. SIAM J. Optim. 7(3):1997;837.
23. M. Vidyasagar, Nonlinear Systems Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1978.
24. Xu K., Warnitchai P., Igusa T. Optimal placement and gains of sensors and actuators for feedback control. AIAA J. Guidance Control Dyn. 17(5):1994;929.