메뉴 건너뛰기




Volumn 40, Issue 6, 1995, Pages 1054-1062

Multiobjective H2/H∞Control

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONTROL THEORY; LINEAR CONTROL SYSTEMS; NUMERICAL METHODS; OPTIMIZATION; PERFORMANCE; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; VECTORS;

EID: 0029324625     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.388682     Document Type: Article
Times cited : (170)

References (35)
  • 1
    • 0024628058 scopus 로고
    • LQG control with an H∞ performance bound: A Riccati equation approach
    • D. S. Bernstein and W. M. Haddard, “LQG control with an H∞ performance bound: A Riccati equation approach,” IEEE Trans. Automat. Cont., vol. 34, pp. 293-305, 1989.
    • (1989) IEEE Trans. Automat. Cont. , vol.34 , pp. 293-305
    • Bernstein, D.S.1    Haddard, W.M.2
  • 2
    • 0024302171 scopus 로고
    • Steady-state Kalman filtering with an H∞ error bound
    • “Steady-state Kalman filtering with an H∞ error bound,” Syst. Contr. Lett., vol. 12, pp. 9-16, 1989.
    • (1989) Syst. Contr. Lett. , vol.12 , pp. 9-16
  • 4
    • 43949163936 scopus 로고
    • Methods of centers for minimizing generalized eigenvalues
    • S. P. Boyd and L. El Ghaoui, “Methods of centers for minimizing generalized eigenvalues,” Linear Alg. Appl., vol. 188/189, pp. 63-111, 1993.
    • (1993) Linear Alg. Appl. , vol.188 , pp. 63-111
    • Boyd, S.P.1    El Ghaoui, L.2
  • 5
    • 84950941452 scopus 로고
    • A survey of multiobjective design techniques
    • Mar.
    • P. Dorato, “A survey of multiobjective design techniques,” in Proc. Int. Workshop Robust Cont., San Antonio, TX, Mar. 1991.
    • (1991) Proc. Int. Workshop Robust Cont.
    • Dorato, P.1
  • 7
    • 0024884066 scopus 로고
    • Optimal control with mixed H2 and H∞ performance objectives
    • J. Doyle, K. Zhou, and B. Bodenheimer, “Optimal control with mixed H2 and H∞ performance objectives,” in Proc. 1989 Amer. Contr. Conf., Pittsburg, PA, 1989, pp. 2065-2070.
    • (1989) Proc. 1989 Amer. Contr. Conf. , pp. 2065-2070
    • Doyle, J.1    Zhou, K.2    Bodenheimer, B.3
  • 9
    • 0023383713 scopus 로고
    • Linear control theory with an H∞ optimality criterion
    • B. A. Francis and J. C. Doyle, “Linear control theory with an H∞ optimality criterion,” SIAM J. Contr. Optimiz., vol. 25, pp. 815-844, 1987.
    • (1987) SIAM J. Contr. Optimiz. , vol.25 , pp. 815-844
    • Francis, B.A.1    Doyle, J.C.2
  • 10
    • 0028464645 scopus 로고
    • A linear matrix inequality approach to H∞control
    • P. Gahinet and P. Apkarian, “A linear matrix inequality approach to H∞control,” Int. J. Robust and Nonlinear Contr., vol. 4, pp. 421-448, 1994.
    • (1994) Int. J. Robust and Nonlinear Contr. , vol.4 , pp. 421-448
    • Gahinet, P.1    Apkarian, P.2
  • 11
    • 0021441691 scopus 로고
    • All optimal Hankel-norm approximations of linear multi-variable systems and their l-error bounds
    • K. Glover, “All optimal Hankel-norm approximations of linear multi-variable systems and their l-error bounds,” Int. J. Contr., vol. 39, pp. 1115-1193, 1984.
    • (1984) Int. J. Contr. , vol.39 , pp. 1115-1193
    • Glover, K.1
  • 12
    • 0026135905 scopus 로고
    • Mixed-norm H2/H∞regulation and estimation: The discrete time case
    • W. M. Haddad, D. S. Bernstein, and D. Mustafa, “Mixed-norm H2/H∞regulation and estimation: The discrete time case,” Syst. Contr. Lett., vol. 16, pp. 235-247, 1991.
    • (1991) Syst. Contr. Lett. , vol.16 , pp. 235-247
    • Haddad, W.M.1    Bernstein, D.S.2    Mustafa, D.3
  • 13
    • 0028484180 scopus 로고
    • All controllers for the general H∞control problem: LMI existence conditions and state space formulas
    • T. Iwasaki and R. E. Skelton, “All controllers for the general H∞control problem: 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
  • 14
    • 0027656654 scopus 로고
    • An interior point method for minimizing the maximum eigenvalue of a linear combination of matrices
    • F. Jarre, “An interior point method for minimizing the maximum eigenvalue of a linear combination of matrices,” SIAM J. Contr. Optim., vol. 31, pp. 1360-1377, 1993.
    • (1993) SIAM J. Contr. Optim. , vol.31 , pp. 1360-1377
    • Jarre, F.1
  • 15
    • 0025902450 scopus 로고
    • Multiple objective optimal control of linear systems: The quadratic norm case
    • P. P. Khargonekar and M. A. Rotea, “Multiple objective optimal control of linear systems: The quadratic norm case,” IEEE Trans. Automat. Contr., vol. 36, pp. 14-24, 1991.
    • (1991) IEEE Trans. Automat. Contr. , vol.36 , pp. 14-24
    • Khargonekar, P.P.1    Rotea, M.A.2
  • 16
    • 0026189473 scopus 로고
    • Mixed H2/H∞control: A convex optimization approach
    • “Mixed H2/H∞control: A convex optimization approach,” IEEE Trans. Automat. Contr., vol. 36, pp. 824-837, 1991.
    • (1991) IEEE Trans. Automat. Contr. , vol.36 , pp. 824-837
  • 17
    • 0027794899 scopus 로고
    • Exact and approximate solutions to a class of multiobjective controller synthesis problems
    • P. P. Khargonekar, M. A. Rotea, and N. Sivashankar, “Exact and approximate solutions to a class of multiobjective controller synthesis problems,” in Proc. 1993 Amer. Contr. Conf., San Francisco, CA, 1993, pp. 1602-1606.
    • (1993) Proc. 1993 Amer. Contr. Conf. , pp. 1602-1606
    • Khargonekar, P.P.1    Rotea, M.A.2    Sivashankar, N.3
  • 18
    • 0022660796 scopus 로고
    • The multiple linear quadratic Gaussian problem
    • N. T. Koussoulas and C. T. Leondes, “The multiple linear quadratic Gaussian problem,” Int. J. Contr., vol. 43, pp. 337-349, 1986.
    • (1986) Int. J. Contr. , vol.43 , pp. 337-349
    • Koussoulas, N.T.1    Leondes, C.T.2
  • 22
    • 0027065271 scopus 로고
    • Numerical solution of the general mixed H2/H∞optimization problem
    • D. B. Ridgely, C. P. Mracek, and L. Valavani, “Numerical solution of the general mixed H2/H∞optimization problem,” in Proc. 1992 Amer. Contr. Conf., Chicago, IL, 1992, pp. 1353-1357.
    • (1992) Proc. 1992 Amer. Contr. Conf. , pp. 1353-1357
    • Ridgely, D.B.1    Mracek, C.P.2    Valavani, L.3
  • 23
    • 0023586461 scopus 로고
    • A homotopy algorithm for solving the optimal projection equations for fixed-order dynamic compensation: Existence, convergence and global optimality
    • S. Richter, “A homotopy algorithm for solving the optimal projection equations for fixed-order dynamic compensation: Existence, convergence and global optimality,” in Proc. 1987 Amer. Contr. Conf., Minneapolis, MN, 1987, pp. 1527-1531.
    • (1987) Proc. 1987 Amer. Contr. Conf. , pp. 1527-1531
    • Richter, S.1
  • 24
    • 0026123002 scopus 로고
    • H2-optimal control with an H∞-constraint: The state feedback case
    • M. A. Rotea and P. P. Khargonekar, “H2-optimal control with an H∞-constraint: The state feedback case,” Automatica, vol. 27, pp. 307-316, 1991.
    • (1991) Automatica , vol.27 , pp. 307-316
    • Rotea, M.A.1    Khargonekar, P.P.2
  • 25
    • 0026363708 scopus 로고
    • Generalized H2/H∞control via convex optimization
    • “Generalized H2/H∞control via convex optimization,” in Proc. 30th IEEE Conf. Decis. Contr., 1991, pp. 2719-2720.
    • (1991) Proc. 30th IEEE Conf. Decis. Contr. , pp. 2719-2720
  • 26
    • 0026624334 scopus 로고
    • H∞-control by state-feedback for plants with zeros on the imaginary axis
    • C. W. Scherer, “H∞-control by state-feedback for plants with zeros on the imaginary axis,” SIAM J. Contr. Optim., vol. 30, pp. 123-142, 1992.
    • (1992) SIAM J. Contr. Optim. , vol.30 , pp. 123-142
    • Scherer, C.W.1
  • 27
    • 0026624575 scopus 로고
    • H∞ -optimization without assumptions on finite or infinite zeros
    • “H∞ -optimization without assumptions on finite or infinite zeros,” SIAM J. Contr. Optim., vol. 30, pp. 143-166, 1992.
    • (1992) SIAM J. Contr. Optim. , vol.30 , pp. 143-166
  • 28
    • 0001340551 scopus 로고
    • Multiobjective H2/H∞ control
    • “Multiobjective H2/H∞ control,” in Selected Topics in Identification, Modeling and Control, O. H. Bosgra and P. M. J. Van den Hof, Eds., vol. 6. The Netherlands: Delft Univ. Press, 1993, pp. 85-94.
    • (1993) Selected Topics in Identification , vol.6 , pp. 85-94
  • 29
    • 0026374978 scopus 로고
    • Necessary conditions for static and fixed order dynamic mixed H2/H∞ optimal control
    • M. Steinbuch and O. H. Bosgra, “Necessary conditions for static and fixed order dynamic mixed H2/H∞ optimal control,” in Proc. 1991 Amer. Contr. Conf., 1991, pp. 1137-1143.
    • (1991) Proc. 1991 Amer. Contr. Conf. , pp. 1137-1143
    • Steinbuch, M.1    Bosgra, O.H.2
  • 30
    • 33747034974 scopus 로고
    • The H∞control problem: A state space approach
    • A. A. Stoorvogel, “The H∞control problem: A state space approach,” Ph.D. dissertation, Eindhoven Univ. Techn., The Netherlands, 1990.
    • (1990) Ph.D. dissertation
    • Stoorvogel, A.A.1
  • 31
    • 0026396607 scopus 로고
    • Suboptimal Norm Based Robust Control of Constrained Systems with an H∞Cost
    • M. Sznaier and A. Sideris, “Suboptimal Norm Based Robust Control of Constrained Systems with an H∞Cost,” in Proc. 31st IEEE Conf. Decision Contr., 1991, pp. 2280-2286.
    • (1991) Proc. 31st IEEE Conf. Decision Contr. , pp. 2280-2286
    • Sznaier, M.1    Sideris, A.2
  • 32
    • 0015206454 scopus 로고
    • Least-squares stationary optimal control and the algebraic Riccati equation
    • J. C. Willems, “Least-squares stationary optimal control and the algebraic Riccati equation,” IEEE Trans. Automat. Contr., vol. 21, pp. 319-338, 1971.
    • (1971) IEEE Trans. Automat. Contr. , vol.21 , pp. 319-338
    • Willems, J.C.1
  • 33
    • 0025565613 scopus 로고
    • Necessary and sufficient conditions for mixed H2 and H∞control
    • H. Yeh, S. Banda and B. Chang, “Necessary and sufficient conditions for mixed H2 and H∞control,” in Proc. 29th IEEE Conf. Decis. Contr., 1990, pp. 1013-1017.
    • (1990) Proc. 29th IEEE Conf. Decis. Contr. , pp. 1013-1017
    • Yeh, H.1    Banda, S.2    Chang, B.3
  • 34
    • 84939004610 scopus 로고
    • Optimality and nonscalar valued performance criteria
    • L. A. Zadeh, “Optimality and nonscalar valued performance criteria,” IEEE Trans. Automat. Control, vol. AC-8, pp. 59-60, 1963.
    • (1963) IEEE Trans. Automat. Control , vol.AC-8 , pp. 59-60
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.