Optimal Control and Filtering for Nonstandard Singularly Perturbed Linear Systems

Journal of Guidance, Control, and Dynamics

Volumn 22, Issue 2, 1999, Pages 362-365

  Kecman, Vojislav ^a   Gajic, Zoran ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONTROL SYSTEM ANALYSIS; KALMAN FILTERING; OPTIMAL CONTROL SYSTEMS; PERTURBATION TECHNIQUES; RICCATI EQUATIONS;

NONSTANDARD SINGULARLY PERTURBED LINEAR SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0033096779     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.4388     Document Type: Article

References (18)

1. Su, W., Gajic, Z., and Shen, X., "The Exact Slow-Fast Decomposition of the Algebraic Riccati Equation of Singularly Perturbed Systems," IEEE Transactions on Automatic Control, Vol. AC-37, Sept. 1992, pp. 1456-1459.
2. Gajic, Z., and Shen, X., Parallel Algorithms for Optimal Control of Large Scale Linear Systems, Springer-Verlag, London, 1993.
3. Gajic, Z., and Lim, M., "A New Filtering Method for Linear Singularly Perturbed Systems," IEEE Transactions on Automatic Control, Vol. AC-39, Sept. 1994, pp. 1952-1955.
4. Chow, J., Time-Scale Modeling of Dynamic Networks with Applications to Power Systems, Springer-Verlag, New York, 1982.
5. Khalil, H., "Time Scale Decomposition of Linear Implicit Singularly Perturbed Systems," IEEE Transactions on Automatic Control, Vol. AC-29, Nov. 1984, pp. 1054-1056.
6. Khalil, H., "Feedback Control of Nonstandard Singularly Perturbed Systems," IEEE Transactions on Automatic Control, Vol. AC-34, Oct 1989, pp. 1052-1060.
7. Kokotovic, P., Khalil, H., and O'Reilly, J., Singular Perturbation Methods in Control: Analysis and Design, Academic Press, Orlando, FL, 1986.
8. Wang, Y., and Frank, P., "Complete Decomposition of Sub-Optimal Regulators for Singularly Perturbed Systems," International Journal of Control, Vol. 55, Jan. 1992, pp. 49-60.
9. Wang, Y., Frank, P., and Wu, N., "Near-Optimal Control of Nonstandard Singularly Perturbed Systems," Automatica, Vol. 30, No. 2, 1994, pp. 277-292.
10. Chang, K., "Singular Perturbations of a General Boundary Value Problem" SIAM Journal of Mathematical Analysis, Vol. 3, Aug. 1972, pp. 520-526.
11. Chow, J., and Kokotovic, P., "A Decomposition of Near-Optimum Regulators for Systems with Slow and Fast Modes," IEEE Transactions on Automatic Control, Vol. AC-21, Oct. 1976, pp. 701-705.
12. Gajic, Z., Petkovski, D., and Harkara, N., "The Recursive Algorithm for Optimal Static Output Feedback Control Problem of Linear Singularly Perturbed Systems," IEEE Transactions on Automatic Control, Vol. AC-34, April 1989, pp. 465-468.
13. Skataric, D., and Gajic, Z., "Linear Control of Nearly Singularly Perturbed Hydro Power Plants," Automatica , Vol. 28, Feb. 1992, pp. 159-163.
14. Mizukami, K., and Suzumura, F., "Closed-Loop Stackelberg Strategies for Singularly Perturbed Systems: The Recursive Approach," International Journal of Systems Science, Vol. 24, No. 5, 1993, pp. 887-900.
15. Baruh, H., and Choe, K., "Sensor Placement in Structural Control," Journal of Guidance, Control, and Dynamics, Vol. 13, No. 3, 1990, pp. 524-533.
16. Moerder, D. D., and Cause, A. J., "Two-Time Scale Stabilization of Systems with Output Feedback," Journal of Guidance, Control, and Dynamics, Vol. 8, No. 6, 1985, pp. 731-736.
17. Derbel, N., Kamoun, M., and Poloujadoff, M., "New Approach to Block-Diagonalization of Singularly Perturbed Systems by Taylor Expansion," IEEE Transactions on Automatic Control, Vol. AC-39, April 1994, pp. 1429-1431.
18. Kecman, V., Bingulac, S., and Gajic, Z., "Eigenvector Method for Exact Decomposition of Singularly Perturbed and Regular Optimal Control Problems," Automatica, Vol. 35, Jan. 1999, in press.