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Volumn 47, Issue 12, 2002, Pages 2051-2057

Near-optimal control of linear multiparameter singularly perturbed systems

Author keywords

Generalized multiparameter algebraic Lyapunov equation; Kleinman algorithm; Multiparameter singularly perturbed systems (MSPSs); Near optimal control

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONTROL EQUIPMENT; LYAPUNOV METHODS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES;

EID: 0036944883     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2002.805676     Document Type: Article
Times cited : (18)

References (22)
  • 1
    • 0017960907 scopus 로고
    • Control strategies for decision makers using different models of the same system
    • Apr.
    • H. K. Khalil and P. V. Kokotović, "Control strategies for decision makers using different models of the same system," IEEE Trans. Automat. Contr., vol. 23, pp. 289-298, Apr. 1978.
    • (1978) IEEE Trans. Automat. Contr. , vol.23 , pp. 289-298
    • Khalil, H.K.1    Kokotović, P.V.2
  • 2
    • 0018376515 scopus 로고
    • Control of linear systems with multiparameter singular perturbations
    • _, "Control of linear systems with multiparameter singular perturbations," Automatica, vol. 15, no. 2, pp. 197-207, 1979.
    • (1979) Automatica , vol.15 , Issue.2 , pp. 197-207
  • 3
    • 0001029069 scopus 로고
    • Stabilization of multiparameter singularly perturbed systems
    • May
    • H. K. Khalil, "Stabilization of multiparameter singularly perturbed systems," IEEE Trans. Automat. Contr., vol. AC-24, pp. 790-791, May 1979.
    • (1979) IEEE Trans. Automat. Contr. , vol.AC-24 , pp. 790-791
    • Khalil, H.K.1
  • 4
    • 0022499043 scopus 로고
    • Multimodel strategies under random disturbances and imperfect partial observations
    • Z. Gajić and H. K. Khalil, "Multimodel strategies under random disturbances and imperfect partial observations," Automatica, vol. 22, no. 1, pp. 121-125, 1986.
    • (1986) Automatica , vol.22 , Issue.1 , pp. 121-125
    • Gajić, Z.1    Khalil, H.K.2
  • 5
    • 0023983585 scopus 로고
    • The existence of a unique and bounded solution of the algebraic Riccati equation of multimodel estimation and control problems
    • Z. Gajić, "The existence of a unique and bounded solution of the algebraic Riccati equation of multimodel estimation and control problems," Syst. Control Lett., vol. 10, pp. 185-190, 1988.
    • (1988) Syst. Control Lett. , vol.10 , pp. 185-190
    • Gajić, Z.1
  • 6
    • 0028375206 scopus 로고
    • Near-optimal control of non-standard singularly perturbed systems
    • Y.-Y. Wang, P. M. Frank, and N. E. Wu, "Near-optimal control of non-standard singularly perturbed systems," Automatica, vol. 30, no. 2, pp. 277-292, 1994.
    • (1994) Automatica , vol.30 , Issue.2 , pp. 277-292
    • Wang, Y.-Y.1    Frank, P.M.2    Wu, N.E.3
  • 7
    • 0000018147 scopus 로고    scopus 로고
    • Exact decomposition of the algebraic Riccati equation of deterministic multimodeling optimal control problems
    • Apr.
    • C. Coumarbatch and Z. Gajić, "Exact decomposition of the algebraic Riccati equation of deterministic multimodeling optimal control problems," IEEE Trans. Automat. Contr., vol. 45, pp. 790-794, Apr. 2000.
    • (2000) IEEE Trans. Automat. Contr. , vol.45 , pp. 790-794
    • Coumarbatch, C.1    Gajić, Z.2
  • 8
    • 0034258784 scopus 로고    scopus 로고
    • Parallel optimal Kalman filtering for stochastic systems in multimodeling form
    • Sept.
    • _, "Parallel optimal Kalman filtering for stochastic systems in multimodeling form," Trans. ASME, J. Dyna. Syst., Measure., Control, vol. 122, pp. 542-550, Sept. 2000.
    • (2000) Trans. ASME, J. Dyna. Syst., Measure., Control , vol.122 , pp. 542-550
  • 9
    • 84914965022 scopus 로고
    • On an iterative technique for Riccati equation computations
    • Feb.
    • D. L. Kleinman, "On an iterative technique for Riccati equation computations," IEEE Trans. Automat. Contr., vol. AC-13, pp. 114-115, Feb. 1968.
    • (1968) IEEE Trans. Automat. Contr. , vol.AC-13 , pp. 114-115
    • Kleinman, D.L.1
  • 10
    • 0018681625 scopus 로고
    • A Schur method for solving algebraic Riccati equations
    • Dec.
    • A.J. Laub, "A Schur method for solving algebraic Riccati equations," IEEE Trans. Automat. Contr., vol. AC-24, pp. 913-921, Dec. 1979.
    • (1979) IEEE Trans. Automat. Contr. , vol.AC-24 , pp. 913-921
    • Laub, A.J.1
  • 11
    • 0031199583 scopus 로고    scopus 로고
    • General matrix pencil techniques for the solution of the algebraic Riccati equations: A unified approach
    • Aug.
    • V. Ionescu, C. Oarǎ, and M. Weiss, "General matrix pencil techniques for the solution of the algebraic Riccati equations: A unified approach," IEEE Trans. Automat. Contr., vol. 42, pp. 1085-1097, Aug. 1997.
    • (1997) IEEE Trans. Automat. Contr. , vol.42 , pp. 1085-1097
    • Ionescu, V.1    Oarǎ, C.2    Weiss, M.3
  • 15
    • 0000205950 scopus 로고
    • A method for finding sharp error bounds for Newton's method under the Kantorvich assumptions
    • T. Yamamoto, "A method for finding sharp error bounds for Newton's method under the Kantorvich assumptions," Numerische Mathematik, vol. 49, pp. 203-220, 1986.
    • (1986) Numerische Mathematik , vol.49 , pp. 203-220
    • Yamamoto, T.1
  • 17
    • 0031075420 scopus 로고    scopus 로고
    • New method for composite optimal control of singularly perturbed systems
    • H. Xu, H. Mukaidani, and K. Mizukami, "New method for composite optimal control of singularly perturbed systems," Int. J. Syst. Sci., vol. 28, no. 2, pp. 161-172, 1997.
    • (1997) Int. J. Syst. Sci. , vol.28 , Issue.2 , pp. 161-172
    • Xu, H.1    Mukaidani, H.2    Mizukami, K.3
  • 18
    • 0034668412 scopus 로고    scopus 로고
    • The guaranteed cost control problem of uncertain singularly perturbed systems
    • H. Mukaidani and K. Mizukami, "The guaranteed cost control problem of uncertain singularly perturbed systems," J. Math. Anal Appl., vol. 251, pp. 716-735, 2000.
    • (2000) J. Math. Anal Appl. , vol.251 , pp. 716-735
    • Mukaidani, H.1    Mizukami, K.2
  • 20
    • 0012481324 scopus 로고    scopus 로고
    • Recursive computation of Pareto optimal strategy for multiparameter singularly perturbed systems
    • _, "Recursive computation of Pareto optimal strategy for multiparameter singularly perturbed systems," Dyna. Contr., Discrete, Impul. Syst., vol. 9b, no. 2, pp. 175-200, 2002.
    • (2002) Dyna. Contr., Discrete, Impul. Syst. , vol.9 B , Issue.2 , pp. 175-200
  • 22
    • 0036501076 scopus 로고    scopus 로고
    • Asymptotic expansions and new numerical algorithm of the algebraic Riccati equation for multiparameter singularly perturbed systems
    • H. Mukaidani, T. Shimomura, and K. Mizukami, "Asymptotic expansions and new numerical algorithm of the algebraic Riccati equation for multiparameter singularly perturbed systems," J. Math. Anal. Appl., vol. 267, pp. 209-234, 2002.
    • (2002) J. Math. Anal. Appl. , vol.267 , pp. 209-234
    • Mukaidani, H.1    Shimomura, T.2    Mizukami, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.