메뉴 건너뛰기




Volumn 32, Issue 8, 1987, Pages 672-688

The Linear-Quadratic Optimal Regulator for Descriptor Systems

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, OPTIMAL; CONTROL SYSTEMS, TIME VARYING; MATHEMATICAL TECHNIQUES - DIFFERENTIAL EQUATIONS; SYSTEM STABILITY;

EID: 0023399637     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1987.1104694     Document Type: Article
Times cited : (318)

References (38)
  • 1
    • 0042020684 scopus 로고
    • Eigenvalue placement for generalized linear systems
    • V. A. Armentano, “Eigenvalue placement for generalized linear systems,” Syst. Contr. Lett., vol. 4, pp. 199–202, 1984.
    • (1984) Syst. Contr. Lett. , vol.4 , pp. 199-202
    • Armentano, V.A.1
  • 2
    • 0021618667 scopus 로고
    • Generalized eigenproblem algorithms and software for algebraic Riccati equations
    • W. F. Arnold and A. J. Laub, “Generalized eigenproblem algorithms and software for algebraic Riccati equations,” Proc. IEEE, vol. 72, no. 12, pp. 1746–1754, 1984.
    • (1984) Proc. IEEE , vol.72 , Issue.12 , pp. 1746-1754
    • Arnold, W.F.1    Laub, A.J.2
  • 3
    • 84912649302 scopus 로고
    • Descriptor systems and geometric control theory
    • Univ. Calif., Santa Barbara
    • D. J. Bender, “Descriptor systems and geometric control theory,” Ph.D. dissertation, Univ. Calif., Santa Barbara, 1985.
    • (1985) Ph.D. dissertation
    • Bender, D.J.1
  • 4
    • 0023223552 scopus 로고
    • The linear-quadratic optimal regulator for descriptor systems: Discrete-time case
    • D. J. Bender and A. J. Laub, “The linear-quadratic optimal regulator for descriptor systems: Discrete-time case,” Automatica, vol. 23. no. 1, pp. 71–85, 1987.
    • (1987) Automatica , vol.23 , Issue.1 , pp. 71-85
    • Bender, D.J.1    Laub, A.J.2
  • 10
    • 0020751694 scopus 로고
    • Descriptor variable systems and optimal state regulation
    • D. J. Cobb, “Descriptor variable systems and optimal state regulation,” IEEE Trans. Automat. Contr., vol. AC-28, no. 5, pp. 601–611, 1983.
    • (1983) IEEE Trans. Automat. Contr. , vol.AC-28 , Issue.5 , pp. 601-611
    • Cobb, D.J.1
  • 12
    • 0021563031 scopus 로고
    • Controllability, observability and duality in singular systems
    • D. J. Cobb, “Controllability, observability and duality in singular systems,” IEEE Trans. Automat. Contr., vol. AC-29, no. 12, pp. 1076–1082, 1984.
    • (1984) IEEE Trans. Automat. Contr. , vol.AC-29 , Issue.12 , pp. 1076-1082
    • Cobb, D.J.1
  • 13
    • 84939701387 scopus 로고
    • Variational calculus for descriptor problems,” submitted to
    • Mar.
    • E. A. Jonckheere, “Variational calculus for descriptor problems,” submitted to IEEE Trans. Automat. Contr., vol. AC-31, Mar. 1987.
    • (1987) IEEE Trans. Automat. Contr. , vol.AC-31
    • Jonckheere, E.A.1
  • 14
    • 0000011589 scopus 로고
    • Contributions to the theory' of optimal control
    • R. E. Kalman, “Contributions to the theory' of optimal control,” Bul. Soc. Mex. Math. (Ser. 2), vol. 5, pp. 102–119, 1960.
    • (1960) Bul. Soc. Mex. Math. (Ser. 2) , vol.5 , pp. 102-119
    • Kalman, R.E.1
  • 15
    • 0019009028 scopus 로고
    • The singular value decomposition: Its computation and some applications
    • V. C. Klema and A. J. Laub, “The singular value decomposition: Its computation and some applications,” IEEE Trans. Automat. Contr., vol. AC-25, no. 2, pp. 164–176, 1980.
    • (1980) IEEE Trans. Automat. Contr. , vol.AC-25 , Issue.2 , pp. 164-176
    • Klema, V.C.1    Laub, A.J.2
  • 17
    • 0018681625 scopus 로고
    • A Schur method for solving algebraic Riccati equations
    • A. J. Laub, “A Schur method for solving algebraic Riccati equations,” IEEE Trans. Automat. Contr., vol. AC-24, no. 6, pp. 913–921, 1979.
    • (1979) IEEE Trans. Automat. Contr. , vol.AC-24 , Issue.6 , pp. 913-921
    • Laub, A.J.1
  • 18
    • 0020311185 scopus 로고
    • Schur techniques in invariant imbedding methods for solving two-point boundary value problems
    • Orlando, FL
    • A. J. Laub, “Schur techniques in invariant imbedding methods for solving two-point boundary value problems,” Proc. 21st IEEE Conf. Decision Contr., Orlando, FL, 1982, pp. 56–61.
    • (1982) Proc. 21st IEEE Conf. Decision Contr. , pp. 56-61
    • Laub, A.J.1
  • 19
    • 0020258408 scopus 로고
    • Schur techniques for Riccati differential equations
    • D. Hinrichsen and A. Isidori, Eds. Berlin: Springer-Verlag
    • A. J. Laub, “Schur techniques for Riccati differential equations,” Feedback Control of Linear and Nonlinear Systems, D. Hinrichsen and A. Isidori, Eds. Berlin: Springer-Verlag, 1982, pp. 165–174.
    • (1982) Feedback Control of Linear and Nonlinear Systems , pp. 165-174
    • Laub, A.J.1
  • 22
    • 0022785709 scopus 로고
    • A note on optimal control of generalized state-space (descriptor) systems
    • V. Lovass-Nagy, R. Schilling, and H.-C. Yan, “A note on optimal control of generalized state-space (descriptor) systems,” Int. J. Contr., vol. 44, no. 3, pp. 613–624, 1986.
    • (1986) Int. J. Contr. , vol.44 , Issue.3 , pp. 613-624
    • Lovass-Nagy, V.1    Schilling, R.2    Yan, H.-C.3
  • 23
    • 0017504417 scopus 로고
    • Dynamic equations in descriptor form
    • D. G. Luenberger, “Dynamic equations in descriptor form,” IEEE Trans. Automat. Contr., vol. AC-22, no. 3, pp. 312–321, 1977.
    • (1977) IEEE Trans. Automat. Contr. , vol.AC-22 , Issue.3 , pp. 312-321
    • Luenberger, D.G.1
  • 25
    • 84954901865 scopus 로고
    • An eigenvector solution of the optimal linear regulator problem
    • A. G. J. MacFarlane, “An eigenvector solution of the optimal linear regulator problem,” J. Electron. Contr., vol. 14, pp. 643–654, 1963.
    • (1963) J. Electron. Contr. , vol.14 , pp. 643-654
    • MacFarlane, A.G.J.1
  • 26
    • 0010058262 scopus 로고
    • On the matrix Riccati equation
    • K. Martensson, “On the matrix Riccati equation,” Inform. Sci., vol. 3, pp. 17–49, 1971.
    • (1971) Inform. Sci. , vol.3 , pp. 17-49
    • Martensson, K.1
  • 27
    • 0019437158 scopus 로고
    • The semistate description of nonlinear time-variable circuits
    • R. W. Newcomb, “The semistate description of nonlinear time-variable circuits,” IEEE Trans. Circuits Syst., vol. CAS-28, no. 1, pp. 28–33, 1981.
    • (1981) IEEE Trans. Circuits Syst. , vol.CAS-28 , Issue.1 , pp. 28-33
    • Newcomb, R.W.1
  • 28
    • 0019531744 scopus 로고
    • On the regulator problem for linear degenerate control systems
    • L. Pandolfi, “On the regulator problem for linear degenerate control systems,” J. Opt. Theory Appl., vol. 33, no. 2, pp. 241–254, 1981.
    • (1981) J. Opt. Theory Appl. , vol.33 , Issue.2 , pp. 241-254
    • Pandolfi, L.1
  • 29
    • 0019045717 scopus 로고
    • On the numerical solution of the discrete-time algebraic Riccati equation
    • T. Pappas, A. J. Laub, and N. R. Sandell, “On the numerical solution of the discrete-time algebraic Riccati equation,” IEEE Trans. Automat. Contr., vol. AC-25, no. 4, pp. 631–641, 1980.
    • (1980) IEEE Trans. Automat. Contr. , vol.AC-25 , Issue.4 , pp. 631-641
    • Pappas, T.1    Laub, A.J.2    Sandell, N.R.3
  • 30
    • 0015631039 scopus 로고
    • On the discrete time algebraic Riccati equation
    • H. J. Payne and L. M. Silverman, “On the discrete time algebraic Riccati equation,” IEEE Trans. Automat. Contr., vol. AC-18, no. 3, pp. 226–234, 1973.
    • (1973) IEEE Trans. Automat. Contr. , vol.AC-18 , Issue.3 , pp. 226-234
    • Payne, H.J.1    Silverman, L.M.2
  • 31
    • 0000022149 scopus 로고
    • Matrix quadratic solutions
    • J. E. Potter, “Matrix quadratic solutions,” SIAM J. Appl. Math., vol. 14, no. 3, pp. 496–501, 1966.
    • (1966) SIAM J. Appl. Math. , vol.14 , Issue.3 , pp. 496-501
    • Potter, J.E.1
  • 34
    • 0019058661 scopus 로고
    • The determination of structural properties of a linear system by operations of system similarity; 2. Non-proper systems in generalized state-space form
    • A. J. J. Van der Weiden and O. H. Bosgra, “The determination of structural properties of a linear system by operations of system similarity; 2. Non-proper systems in generalized state-space form,” Int. J. Contr., vol. 32, no. 3, pp. 489–537, 1980.
    • (1980) Int. J. Contr. , vol.32 , Issue.3 , pp. 489-537
    • Van der Weiden, A.J.J.1    Bosgra, O.H.2
  • 35
    • 0000669144 scopus 로고
    • A generalized eigenvalue approach for solving Riccati equations
    • P. Van Dooren, “A generalized eigenvalue approach for solving Riccati equations,” SIAM J. Sci. Stat. Comp., vol. 2, no. 2, pp. 121–135, 1981.
    • (1981) SIAM J. Sci. Stat. Comp. , vol.2 , Issue.2 , pp. 121-135
    • Van Dooren, P.1
  • 36
    • 0010555155 scopus 로고
    • A negative exponential solution for the matrix Riccati equation
    • D. R. Vaughan, “A negative exponential solution for the matrix Riccati equation,” IEEE Trans. Automat. Contr., vol. 14, no. 1, pp. 72–75, 1969.
    • (1969) IEEE Trans. Automat. Contr. , vol.14 , Issue.1 , pp. 72-75
    • Vaughan, D.R.1
  • 37
    • 0019599525 scopus 로고
    • A generalized state-space for singular systems
    • G. C. Verghese, B. C. Levy, and T. Kailath, “A generalized state-space for singular systems,” IEEE Trans. Automat. Contr., vol. AC-26, no. 4, pp. 811–831, 1981.
    • (1981) IEEE Trans. Automat. Contr. , vol.AC-26 , Issue.4 , pp. 811-831
    • Verghese, G.C.1    Levy, B.C.2    Kailath, T.3
  • 38
    • 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. AC-16, no. 6, pp. 621–634, 1971.
    • (1971) IEEE Trans. Automat. Contr. , vol.AC-16 , Issue.6 , pp. 621-634
    • Willems, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.