메뉴 건너뛰기




Volumn 33, Issue 4, 1997, Pages 669-673

H∞ control for descriptor systems: A matrix inequalities approach

Author keywords

Convex optimization; Descriptor systems; H control; Matrix inequalities

Indexed keywords

ALGORITHMS; MATRIX ALGEBRA; OPTIMIZATION; POLYNOMIALS; PROBLEM SOLVING; RICCATI EQUATIONS; SYSTEM STABILITY;

EID: 0031108713     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(96)00193-8     Document Type: Article
Times cited : (721)

References (25)
  • 1
    • 0023399637 scopus 로고
    • The linear-quadratic optimal regulator for descriptor systems
    • Bender, D. J. and A. J. Laub (1987). The linear-quadratic optimal regulator for descriptor systems. IEEE Trans. Autom. Control, AC-32, 672-688.
    • (1987) IEEE Trans. Autom. Control , vol.AC-32 , pp. 672-688
    • Bender, D.J.1    Laub, A.J.2
  • 2
    • 43949163936 scopus 로고
    • Method of centers for minimizing generalized eigenvalues
    • Boyd, S. and L. El Ghaoui (1993). Method of centers for minimizing generalized eigenvalues. Lin. Alg. Applic., 188/189, 63-111.
    • (1993) Lin. Alg. Applic. , vol.188-189 , pp. 63-111
    • Boyd, S.1    El Ghaoui, L.2
  • 4
    • 0020751694 scopus 로고
    • Descriptor variable systems and optimal state regulation
    • Cobb, J. D. (1983). Descriptor variable systems and optimal state regulation. IEEE Trans. Autom. Control, AC-28, 601-611.
    • (1983) IEEE Trans. Autom. Control , vol.AC-28 , pp. 601-611
    • Cobb, J.D.1
  • 5
    • 0021563031 scopus 로고
    • Controllability, observability and duality in singular systems
    • Cobb, J. D. (1984a). Controllability, observability and duality in singular systems. IEEE Trans. Autom. Control, AC-29, 1076-1082.
    • (1984) IEEE Trans. Autom. Control , vol.AC-29 , pp. 1076-1082
    • Cobb, J.D.1
  • 6
    • 0019577046 scopus 로고
    • Feedback and pole placement in descriptor systems
    • Cobb, J. D. (1984b). Feedback and pole placement in descriptor systems. Int. J. Control, 33, 1135-1146.
    • (1984) Int. J. Control , vol.33 , pp. 1135-1146
    • Cobb, J.D.1
  • 7
    • 0005635435 scopus 로고
    • A convex parametrization of H∞ suboptimal controllers
    • Tucson, AZ
    • Gahinet, P. (1992). A convex parametrization of H∞ suboptimal controllers. In Proc. 31st IEEE Control Decision and Control, Tucson, AZ, pp. 937-942.
    • (1992) Proc. 31st IEEE Control Decision and Control , pp. 937-942
    • Gahinet, P.1
  • 8
    • 0028464645 scopus 로고
    • A linear matrix inequality approach to H∞ control
    • Gahinet, P. and P. Apkarian (1994). A linear matrix inequality approach to H∞ control. Int. J. Robust Nonlin. Control, 4, 421-448.
    • (1994) Int. J. Robust Nonlin. Control , vol.4 , pp. 421-448
    • Gahinet, P.1    Apkarian, P.2
  • 9
  • 11
    • 0028484180 scopus 로고
    • All controllers for the general ℋ∞ control problem: LMI existence conditions and state space formulas
    • Iwasaki, T. and R. E. Skelton (1994). All controllers for the general ℋ∞ control problem: LMI existence conditions and state space formulas. Automatica, 30, 1307-1317.
    • (1994) Automatica , vol.30 , pp. 1307-1317
    • Iwasaki, T.1    Skelton, R.E.2
  • 13
    • 0002263248 scopus 로고
    • Regulator and spectral factorization for continuous-time descriptor systems
    • Tucson, AZ
    • Katayama, T. and K. Minamino (1992). Regulator and spectral factorization for continuous-time descriptor systems. In Proc. 31st IEEE Conf. on Decision and Control, Tucson, AZ, pp. 967-972.
    • (1992) Proc. 31st IEEE Conf. on Decision and Control , pp. 967-972
    • Katayama, T.1    Minamino, K.2
  • 14
    • 0022329791 scopus 로고
    • Preliminary notes on optimal control for singular systems
    • Fort Lauderdale, FL
    • Lewis, F. L. (1985). Preliminary notes on optimal control for singular systems. In Proc. 24th IEEE Conf. on Decision and Control, Fort Lauderdale, FL, pp. 262-272.
    • (1985) Proc. 24th IEEE Conf. on Decision and Control , pp. 262-272
    • Lewis, F.L.1
  • 15
    • 0022945161 scopus 로고
    • A survey of linear singular systems
    • Lewis, F. L. (1986). A survey of linear singular systems. Circuits Syst. Sig. Process, 5, 3-36.
    • (1986) Circuits Syst. Sig. Process , vol.5 , pp. 3-36
    • Lewis, F.L.1
  • 16
    • 0042711319 scopus 로고
    • On the H∞ control for descriptor systems - A J-spectral factorization approach
    • Kobe, Japan
    • Morihira, N., K. Takaba and T. Katayama (1993). On the H∞ control for descriptor systems - a J-spectral factorization approach. In Proc. 16th SICE Symp. on Dynamical System Theory, Kobe, Japan, pp. 261-266.
    • (1993) Proc. 16th SICE Symp. on Dynamical System Theory , pp. 261-266
    • Morihira, N.1    Takaba, K.2    Katayama, T.3
  • 18
    • 0025237968 scopus 로고
    • An algebraic approach to H∞ output feedback control problems
    • Sampei, M., T. Mita and M. Nakamichi (1990). An algebraic approach to H∞ output feedback control problems. Syst. Control Lett., 14, 13-24.
    • (1990) Syst. Control Lett. , vol.14 , pp. 13-24
    • Sampei, M.1    Mita, T.2    Nakamichi, M.3
  • 19
    • 0026624575 scopus 로고
    • H∞-optimization without assumptions on finite or infinite zeros
    • Scherer, C. W. (1992). H∞-optimization without assumptions on finite or infinite zeros. SIAM J. Control Optim., 30, 143-166.
    • (1992) SIAM J. Control Optim. , vol.30 , pp. 143-166
    • Scherer, C.W.1
  • 20
    • 0028738688 scopus 로고
    • H∞ control for descriptor systems - A J-spectral factorization approach
    • Lake Buena Vista, FL
    • Takaba, K., N. Morihara and T. Katayama (1994). H∞ control for descriptor systems - a J-spectral factorization approach. In Proc. 33rd IEEE Conf. on Decision and Control, Lake Buena Vista, FL, pp. 2251-2256.
    • (1994) Proc. 33rd IEEE Conf. on Decision and Control , pp. 2251-2256
    • Takaba, K.1    Morihara, N.2    Katayama, T.3
  • 21
    • 0029639903 scopus 로고
    • A generalized Lyapunov theorem for descriptor system
    • Takaba, K., N. Morihira and T. Katayama (1995). A generalized Lyapunov theorem for descriptor system. Syst. Control Lett., 24, 49-51.
    • (1995) Syst. Control Lett. , vol.24 , pp. 49-51
    • Takaba, K.1    Morihira, N.2    Katayama, T.3
  • 22
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite programming
    • Vandenberghe, L. and S. Boyd (1996). Semidefinite programming. SIAM Rev., 38, 49-95.
    • (1996) SIAM Rev. , vol.38 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2
  • 25
    • 0024066049 scopus 로고
    • An algebraic riccati equation approach to H∞ optimization
    • Zhou, K. and P. P. Khargonekar (1988). An algebraic Riccati equation approach to H∞ optimization. Syst. Control Lett., 11, 85-91.
    • (1988) Syst. Control Lett. , vol.11 , pp. 85-91
    • Zhou, K.1    Khargonekar, P.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.