Control spillover in dissipative evolution equations

Proceedings of the American Control Conference

Volumn 6, Issue , 2000, Pages 3783-3787

  Hagen, Gregory ^a   Mezic, Igor ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL LYAPUNOV FUNCTION; CONTROL SPILLOVER; EVOLUTION EQUATIONS; FINITE DIMENSIONAL SYSTEMS; FINITE-DIMENSIONAL CONTROL; GLOBAL STABILIZATION; INFINITE-DIMENSIONAL SYSTEM; NONLINEAR FUNCTIONS;

LINEAR CONTROL SYSTEMS; BOUNDARY CONDITIONS; CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; FOURIER TRANSFORMS; LYAPUNOV METHODS; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS);

FOURIER SERIES; SYSTEM STABILITY;

CONTROL LYAPUNOV FUNCTION; CONTROL SPILLOVER; FINITE DIMENSIONAL CONTROL;

EID: 0034539396     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2000.876928     Document Type: Conference Paper

References (19)

1. M. J. Balas. Active control of flexible systems. Journal of Optimization Theory and Applications, 25(3):415-436, 1978.
2. M. J. Balas. Distributed parameter control of nonlinear flexible structures with linear finitedimensional controllers. Journal of Mathematical Analysis and Applications, 108:528-545, 1985.
3. B. Bamieh, F. Paganini, and M. A. Dahleh. Distributed control of spatially-invariant systems. To appear in IEEE Transactions on Automatic Control, 1998.
4. A. Banaszuk, H. A. Hauksson, and I. Mezid. A backstepping controller for a nonlinear partial differential equation model of compression system instabilities. To appear in the SIAM Journal on Control and Optamization, 1997.
5. S. P. Banks. State-space and Frequency-domain Methods in the Control of Distributed Parameter Systems. Peter Peregrinus Ltd., London, 1983.
6. J. Bontsema and R. F. Curtain. A note on spillover and robustness for flexible systems. IEEE Transactions on Automatic Control, 33(6):567-569, 1988.
7. P. D. Christofides and P. Daotidis. Finitedimensional control of parabolic pde systems using approximate inertial manifolds. Journal of Mathematical Analysis and Applications, 216:398-420, 1997.
8. R. F. Curtain. A comparison of finitedimensional controller designs for distributed parameter systems. Control-Theory and Advanced Technology, 9(3):609-627, 1993.
9. R. F. Curtain and H. J. Zwart. An Introduction to Infinite-Dimensional Linear Systems Theory. Springer-Verlag, New York, 1995.
10. G. Hagen and I. Mezid. Pattern formationin axial compressors. Preprint, 1999.
11. G. Hagen, I. Mezid, and B. Bamieh. Modeling and control of axial compressors with air injection. Submitted to IEEE Transactions on Automatic Control, 1999.
12. Y. Harn and E. Polak. On the design of finite-dimensional stabilizing compensators for infinitedimensional feedback-systems via semiinfinite optimization. IEEE Transactions on Automatic Control, 35(10):1135-1140, 1990.
13. G. J. Hendricks and D. L. Gysling. Theoretical study of sensor-actuator schemes for rotating stall control. Journal of Propulsion and Power, 10(1), 1994.
14. H. K. Khalil. Nonlinear Systems. Prentice Hall, 2nd edition edition, 1996.
15. I. Mezid. A large-scale theory of axial compression system dynamics. To appear in Journal of Fluid Mechanics, 1998.
16. A. Preumont. Spillover alleviation for nonlinear active control of vibration. Journal of Guidance and Control, 11:124-130, 1988.
17. W. H. Ray. Advanced Process Control. Butterworth, Boston, 1989.
18. H. Sano and Y. Sakawa. H∞ control of diffusion systems by using a finite-dimensional controller. SIAM Journal on Control and Optimization, 37(2):409-428, 1998.
19. D. Yue, Y. Liu, and S. Xu. Finite-dimensional compensator for a class of uncertain distributed parameter systems. International Journal of Systems Science, 26(12):2383-2390, 1995.