Low-authority controller design by means of convex optimization

Journal of Guidance, Control, and Dynamics

Volumn 22, Issue 6, 1999, Pages 862-872

  Hassibi, Arash ^a   How, Jonathan P ^a   Boyd, Stephen P ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; APPROXIMATION THEORY; CLOSED LOOP CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK; GAIN CONTROL; LYAPUNOV METHODS; PERTURBATION TECHNIQUES;

CLOSED LOOP EIGENVALUES; INTERIOR POINT METHOD; LOW AUTHORITY CONTROLLER;

CONTROL SYSTEM SYNTHESIS;

EID: 0033228328     PISSN: 07315090     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.4464     Document Type: Article

References (29)

1. Wykes, J. H., "Structural Dynamic Stability Augmentation and Gust Alleviation of Flexible Aircraft," AIAA Paper 68-1067, Oct. 1968.
2. Aubrun, J. N., "Theory of Control of Structures by Low-Authority Controllers," Journal of Guidance and Control, Vol. 3, No. 5, 1980, pp. 444-451.
3. Williams, T., "Transmission Zeros and High-Authority/Low-Authority Control of Flexible Space Structures," Journal of Guidance, Control, and Dynamics, Vol. 17, No. 1, 1994, pp. 170-174.
4. Sun. C. T., and Lu, Y. P., Vibration Damping of Structural Elements, Prentice-Hall, Englewood Cliffs, NJ, 1995.
5. Vanderbei, R. J., Linear Programming: Foundations and Extensions, Kluwer Academic, Norwell, MA, 1997.
6. Nesterov, Yu., and Nemirovsky, A., Interior-Point Polynomial Methods in Convex Programming, Studies in Applied Mathematics Series, Vol. 13, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1994.
7. Vandenberghe, L., and Boyd, S., "A Primal-Dual Potential Reduction Method for Problems Involving Matrix Inequalities," Mathematical Programming, Vol. 69, No. 1, 1995, pp. 205-236.
8. Zadeh, L. A., and Whalen, B. H., "On Optimal Control and Linear Programming," Institute of Radio Engineers Transactions on Automatic Control, Vol. 7, No. 1, 1962, pp. 45, 46.
9. Vanderbei, R. J., "LOQO User's Manual," Dept. of Civil Engineering and Operations Research, TR SOL 92-05, Princeton University, Princeton, NJ, 1992.
10. Zhang, Y., "User's Guide to LIPSOL: A Matlab Toolkit for Linear Programming Interior-Point Solvers," Mathematics and Statistics Dept., Univ. of Maryland, Baltimore, Oct. 1994.
11. Czyzyk, J., Mehrotra, S., and Wright, S. J., "PCx User Guide," Optimization Technology Center, Argonne National Lab., Argonne, IL, March 1997.
12. Alizadeh, F., Haeberly, J.-P. A., and Overton, M. L., "Primal-Dual Interior-Point Methods for Semidefinite Programming: Convergence Rates, Stability and Numerical Results," SIAM Journal on Optimization, Vol. 8, No. 3, 1998, pp. 746-768.
13. Vandenberghe, L., and Boyd, S., "SP: Software for Semidefinite Programming. User's Guide, Beta Version," Stanford Univ., Stanford, CA, Oct. 1994.
14. Fujisawa, K., and Kojima, M., "SDPA (Semidefinite Programming Algorithm) User's Manual," Dept. of Mathematical and Computing Sciences, TR B-308, Tokyo Inst. of Technology, Tokyo, Japan, 1995.
15. Wu, S.-P., and Boyd. S., "SDPSOL: A Parser/Solver for Semidefinite Programming and Determinant Maximization Problems with Matrix Structure. User's Guide, Version Beta," Stanford Univ., Stanford. CA, June 1996.
16. Cabinet, P., and Nemirovskii, A., "LMI Lab: A Package for Manipulating and Solving LMIs," French National Inst. for Research in Science and Control, Rocquencourt, France, 1993.
17. Alizadeh, F., Haeberly, J. P., Nayakkankuppam, M. V., and Overton, M. L., "SDPPACK User's Guide, Version 0.8 Beta," New York Univ., New York, June 1997.
18. Borchers, B., "CSDP, A C Library for Semidefinite Programming," New Mexico Tech. Inst., New Mexico, March 1997.
19. Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, V., Linear Matrix Inequalities in System and Control Theory, Studies in Applied Mathematics Series, Vol. 15, Society for Industrial and Applied Mathematics, Philadelphia, PA, June 1994.
20. Lobo, M. S., Vandenberghe, L., Boyd, S., and Lebret, H., "Applications of Second-Order Cone Programming." Linear Algebra and Applications, Vol. 284, Nos. 1-3, 1998, pp. 193-228.
21. Lobo, M. S., Vandenberghe, L., and Boyd, S., "SOCP: Software for Second-Order Cone Programming," Information Systems Laboratory, Stanford Univ., Stanford, CA, 1997.
22. Alizadeh, F., Haeberly, J. P., Nayakkankuppam, M. V., Overton, M. L., and Schmieta, S., "SDPPACK User's Guide, Version 0.9 Beta," New York Univ., New York, June 1997.
23. Kato, T., A Short Introduction to Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1982.
24. Chen, S. S., Donoho, D., and Saunders, M. A., "Atomic Decomposition of Basis Pursuit," Dept. of Statistics, TR 479, Stanford Univ., Stanford, CA, Feb. 1996.
25. Rao, B. D., and Gorodnitsky, I. F., "Affine Scaling Transformation Based Methods for Computing Low Complexity Sparse Solutions," Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing, Inst. of Electrical and Electronics Engineers, New York, 1996, Vol. 3, pp. 1783-1786.
26. Harikumar, G., and Bresler, Y., "A New Algorithm for Computing Sparse Solutions to Linear Inverse Problems," Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing, Inst. of Electrical and Electronics Engineers, New York, 1996, Vol. 3, pp. 1331-1334.
27. Mesbahi, M., and Papavassilopoulos, G. P., "On the Rank Minimization Problem over a Positive Semidefinite Linear Matrix Inequality," IEEE Transactions on Automatic Control, Vol. 42, No. 2, 1997, pp. 239-243.
28. Anderson, E. H., and Hagood, N. W., "Robust Placement of Actuators and Dampers for Structural Control," Space Engineering Research Center, TR SERC #14-93, Massachusetts Inst. of Technology, Cambridge, MA, Oct. 1993.
29. Hassibi, A., How, J. P., and Boyd, S. P., "A Path-Following Method for Solving BMI Problems in Control," Proceedings of American Control Conference, American Automatic Control Council, Evanston, IL, June 1999, pp. 1385-1389.