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Volumn 50, Issue 12, 2002, Pages 2998-3007

Reduced-order H∞ Filtering for stochastic systems

Author keywords

H filtering; Linear matrix inequality; Reduced order filters; Stochastic systems

Indexed keywords

ALGORITHMS; MATRIX ALGEBRA; RANDOM PROCESSES; SPURIOUS SIGNAL NOISE;

EID: 0036905837     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2002.805239     Document Type: Article
Times cited : (141)

References (30)
  • 2
    • 0022079905 scopus 로고
    • The optimal projection equations for reduced-order state estimation
    • D.S. Bernstein and D.C. Hyland, "The optimal projection equations for reduced-order state estimation," IEEE Trans. Automat. Contr., vol. AC-30, pp. 583-585, 1985.
    • (1985) IEEE Trans. Automat. Contr. , vol.AC-30 , pp. 583-585
    • Bernstein, D.S.1    Hyland, D.C.2
  • 7
    • 0035266606 scopus 로고    scopus 로고
    • ∞ filter design for uncertain linear systems with multiple time-varying state delays
    • Mar.
    • ∞ filter design for uncertain linear systems with multiple time-varying state delays," IEEE Trans. Signal Processing, vol. 49, pp. 569-576, Mar. 2001.
    • (2001) IEEE Trans. Signal Processing , vol.49 , pp. 569-576
    • De Souza, C.E.1    Palhares, R.M.2    Peres, P.L.D.3
  • 8
    • 0031370333 scopus 로고    scopus 로고
    • Stochastic nonlinear Lyapunov stabilization and inverse optimality
    • Dec.
    • H. Deng and M. Krstić, "Stochastic nonlinear Lyapunov stabilization and inverse optimality," Proc. 36th IEEE Conf. Decision Contr., pp 549-554, Dec. 1997.
    • (1997) Proc. 36th IEEE Conf. Decision Contr. , pp. 549-554
    • Deng, H.1    Krstić, M.2
  • 9
    • 0021542280 scopus 로고
    • A transformation approach to stochastic model reduction
    • U.B. Desai and D. Pal, "A transformation approach to stochastic model reduction," IEEE Trans. Automat. Contr., vol. AC-29, pp. 1097-1100, 1984.
    • (1984) IEEE Trans. Automat. Contr. , vol.AC-29 , pp. 1097-1100
    • Desai, U.B.1    Pal, D.2
  • 11
    • 0029345003 scopus 로고
    • Lyapunov-like techniques for stochastic stability
    • P. Florchinger, "Lyapunov-like techniques for stochastic stability," SIAM J. Contr. Optim., vol. 33, pp. 1151-1169, 1995.
    • (1995) SIAM J. Contr. Optim. , vol.33 , pp. 1151-1169
    • Florchinger, P.1
  • 13
    • 0026191317 scopus 로고
    • ∞ optimal estimation and its interconnection to loop transfer recovery
    • ∞ optimal estimation and its interconnection to loop transfer recovery," Syst. Contr. Lett., vol. 17, pp. 29-36, 1991.
    • (1991) Syst. Contr. Lett. , vol.17 , pp. 29-36
    • Fu, M.1
  • 17
    • 0035508089 scopus 로고    scopus 로고
    • ∞ filtering of stationary continuous-time linear systems with stochastic uncertainties
    • Nov.
    • ∞ filtering of stationary continuous-time linear systems with stochastic uncertainties," IEEE Trans. Automat. Contr., vol. 46, pp. 1788-1793, Nov. 2001.
    • (2001) IEEE Trans. Automat. Contr. , vol.46 , pp. 1788-1793
    • Gershon, E.1    Limebeer, D.J.N.2    Shaked, U.3    Yaesh, I.4
  • 18
    • 0035284077 scopus 로고    scopus 로고
    • ∞ control and filtering of discrete-time stochastic systems with multiplicative noise
    • ∞ control and filtering of discrete-time stochastic systems with multiplicative noise," Automatica, vol. 37, pp. 409-417, 2001.
    • (2001) Automatica , vol.37 , pp. 409-417
    • Gershon, E.1    Shaked, U.2    Yaesh, I.3
  • 19
    • 0029469008 scopus 로고
    • ∞ model reduction via linear matrix inequalities: Continuous- and discrete-time cases
    • ∞ model reduction via linear matrix inequalities: Continuous- and discrete-time cases," Syst. Contr. Lett., vol. 26, pp. 321-333, 1995.
    • (1995) Syst. Contr. Lett. , vol.26 , pp. 321-333
    • Grigoriadis, K.M.1
  • 22
    • 0028484180 scopus 로고
    • ∞ control problems: LMI existence conditions and state space formulas
    • ∞ control problems: LMI existence conditions and state space formulas," Automatica, vol. 30, pp. 1307-1317, 1994.
    • (1994) Automatica , vol.30 , pp. 1307-1317
    • Iwasaki, T.1    Skelton, R.E.2
  • 23
    • 0023364740 scopus 로고
    • Reduced-order estimation. I: Filtering
    • K.M. Nagpal, R.E. Helmick, and C.S. Sims, "Reduced-order estimation. I. filtering," Int. J. Contr., vol. 45, pp. 1867-1888, 1987.
    • (1987) Int. J. Contr. , vol.45 , pp. 1867-1888
    • Nagpal, K.M.1    Helmick, R.E.2    Sims, C.S.3
  • 25
    • 0030736074 scopus 로고    scopus 로고
    • ∞ filtering via convex optimization
    • ∞ filtering via convex optimization," Int. J. Contr., vol. 66, pp. 15-22, 1997.
    • (1997) Int. J. Contr. , vol.66 , pp. 15-22
    • Park, P.G.1    Kailath, T.2
  • 26
    • 0025430722 scopus 로고
    • ∞ minimum error state estimation of linear stationary processes
    • May
    • ∞ minimum error state estimation of linear stationary processes," IEEE Trans. Automat. Control, vol. 35, pp. 554-558, May 1990.
    • (1990) IEEE Trans. Automat. Control , vol.35 , pp. 554-558
    • Shaked, U.1
  • 28
    • 1642457422 scopus 로고
    • Feedback stabitizability for stochastic systems with state and control dependent noise
    • J.L. Willems and J.C. Willems, "Feedback stabitizability for stochastic systems with state and control dependent noise," Automatica, vol. 12, pp. 277-283, 1976.
    • (1976) Automatica , vol.12 , pp. 277-283
    • Willems, J.L.1    Willems, J.C.2
  • 30
    • 0023436207 scopus 로고
    • Function observer and state feedback
    • S.-Y. Zhang, "Function observer and state feedback," Int. J. Contr., vol. 46, pp. 1295-1305, 1987.
    • (1987) Int. J. Contr. , vol.46 , pp. 1295-1305
    • Zhang, S.-Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.