New results for near-optimal control of linear multiparameter singularly perturbed systems

Automatica

Volumn 39, Issue 12, 2003, Pages 2157-2167

  Mukaidani, Hiroaki ^a   Xu, Hua ^b   Mizukami, Koichi ^c  

^a HIROSHIMA UNIVERSITY   (Japan)

^b UNIVERSITY OF TSUKUBA   (Japan)

^c HIROSHIMA KOKUSAI GAKUIN UNIVERSITY   (Japan)

Author keywords

independent controller; Multiparameter algebraic Riccati equation (MARE); Multiparameter singularly perturbed systems (MSPS); Near optimal control

Indexed keywords

APPROXIMATION THEORY; LINEAR SYSTEMS; MATHEMATICAL MODELS; PROBLEM SOLVING;

SUBSYSTEMS;

OPTIMAL CONTROL SYSTEMS;

EID: 0242303079     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(03)00248-6     Document Type: Article

References (22)

1. Coumarbatch C., Gajić Z. Exact decomposition of the algebraic Riccati equation of deterministic multimodeling optimal control problems. IEEE Transactions on Automatic Control. 45:2000;790-794.
2. Coumarbatch C., Gajić Z. Parallel optimal Kalman filtering for stochastic systems in multimodeling form. Transactions on ASME, Journal of Dynamic Systems, Measurement, and Control. 122:2000;542-550.
3. Gajić Z. The existence of a unique and bounded solution of the algebraic Riccati equation of multimodel estimation and control problems. Systems & Control Letters. 10:1988;185-190.
4. Gajić Z., Khalil H.K. Multimodel strategies under random disturbances and imperfect partial observations. Automatica. 22:1986;121-125.
5. Khalil H.K. Stabilization of multiparameter singularly perturbed systems. IEEE Transactions on Automatic Control. 24:1979;790-791.
6. Khalil H.K. Multimodel design of a Nash strategy. Journal of Optimization Theory and Applications. 31:1980;553-564.
7. Khalil H.K. Asymptotic stability of nonlinear Multiparameter singularly perturbed systems. Automatica. 17:1981;797-804.
8. Khalil H.K., Kokotović P.V. Control strategies for decision makers using different models of the same system. IEEE Transactions on Automatic Control. 23:1978;289-298.
9. Khalil H.K., Kokotović P.V. Control of linear systems with multiparameter singular perturbations. Automatica. 15:1979;197-207.
10. Khalil H.K., Kokotović P.V. D -Stability and multi-parameter singular perturbation SIAM Journal on Control and Optimization. 15:1979;197-207.
11. Kokotović P.V., Khalil H.K., O'Reilly J. Singular perturbation methods in control: Analysis and design. 1986;Academic Press, New York.
12. Magnus J.R., Neudecker H. Matrix differential calculus with applications in statistics and econometrics. 1999;Wiley, New York.
13. Mukaidani, H. (2001). Pareto near-optimal strategy of multimodeling systems. In Proceedings of the IEEE international Conference on Industrial Electronics, Control and Instrumentation, Colorado (pp. 500-505).
14. Mukaidani H. Near-optimal Kalman filters for multiparameter singularly perturbed linear systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. 50:2003;717-721.
15. Mukaidani H., Mizukami K. Robust stabilization for singularly perturbed systems with structured state space uncertainties. Electrical Engineering in Japan. 132(4):2000;62-72.
16. Mukaidani, H., & Mizukami, K. (2001). Control of linear multiparameter singularity pertubed systems. In Proceedings of the IFAC workshop on singular solutions and perturbations, Bucharest (pp. 13-18).
17. ∞ control problem of singularly perturbed systems IEEE Transactions on Automatic Control. 43:2001;1659-1666.
18. Mukaidani H., Xu H., Mizukami K. Recursive computation of Pareto optimal strategy for multiparameter singularly perturbed systems. Dynamics of Continuous, Discrete and Impulsive Systems. 9b:2002;175-200.
19. Özgüner Ü. Near-optimal control of composite systems. The multi time-scale approach IEEE Transactions on Automatic Control. 24:1979;652-655.
20. Salman M.A., Lee A.Y., Boustany N.M. Reduced order design of active suspension control. Transactions on ASME, Journal of Dynamic Systems, Measurement, and Control. 122:1990;542-550.
21. Wang Y-Y, Paul M., Wu N.E. Near-optimal control of nonstandard singularly perturbed systems. Automatica. 30:1994;277-292.
22. Xu H., Mukaidani H., Mizukami K. New method for composite optimal control of singularly perturbed systems. International Journal of Systems Sciences. 28:1997;161-172