메뉴 건너뛰기




Volumn 48, Issue 7, 2003, Pages 1178-1186

Positive polynomials and robust stabilization with fixed-order controllers

Author keywords

Fixed order controllers; Linear matrix inequality (LMI); Polynomials; Robust control; Structured uncertainty

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; CONTROL EQUIPMENT; MATRIX ALGEBRA; POLYNOMIALS;

EID: 0042766838     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.814103     Document Type: Article
Times cited : (186)

References (34)
  • 1
    • 0029246729 scopus 로고
    • Controller synthesis for a class of interval plants
    • C. Abdallah, P. Dorato, F. Pérez, and D. Docampo, "Controller synthesis for a class of interval plants," Automatica, vol. 31, no. 2, pp. 341-343, 1995.
    • (1995) Automatica , vol.31 , Issue.2 , pp. 341-343
    • Abdallah, C.1    Dorato, P.2    Pérez, F.3    Docampo, D.4
  • 3
    • 0003169116 scopus 로고
    • Interior point methods in semidefinite programming with applications to combinatorial optimization
    • F. Alizadeh, "Interior point methods in semidefinite programming with applications to combinatorial optimization," SIAM J. Optim., vol. 5, no. 1, pp. 13-51, 1995.
    • (1995) SIAM J. Optim. , vol.5 , Issue.1 , pp. 13-51
    • Alizadeh, F.1
  • 4
    • 0012688640 scopus 로고    scopus 로고
    • Convex optimization problems involving finite autocorrelation sequences
    • Sept. Online publication, to be published
    • B. Alkire and L. Vandenberghe, "Convex optimization problems involving finite autocorrelation sequences," Mathematical Programming, Sept. 2002. Online publication, to be published.
    • (2002) Mathematical Programming
    • Alkire, B.1    Vandenberghe, L.2
  • 6
    • 29944431676 scopus 로고    scopus 로고
    • Limitations on control system performance
    • K. J. Åström, "Limitations on control system performance," Euro. J. Control, vol. 6, no. 1, pp. 2-20, 2000.
    • (2000) Euro. J. Control , vol.6 , Issue.1 , pp. 2-20
    • Åström, K.J.1
  • 7
    • 0000821562 scopus 로고    scopus 로고
    • Robust semidefinite programming
    • R. Saigal, L. Vandenberghe, and H. Wolkowicz, Eds. Norwell, MA: Kluwer
    • A. Ben-Tal, L. El Ghaoui, and A. Nemirovski, "Robust semidefinite programming," in Handbook of Semidefinite Programming, R. Saigal, L. Vandenberghe, and H. Wolkowicz, Eds. Norwell, MA: Kluwer, 2000.
    • (2000) Handbook of Semidefinite Programming
    • Ben-Tal, A.1    El Ghaoui, L.2    Nemirovski, A.3
  • 9
    • 0034264701 scopus 로고    scopus 로고
    • A survey of computational complexity results in systems and control
    • V. D. Blondel and J. N. Tsitsiklis, "A survey of computational complexity results in systems and control," Automatica, vol. 36, pp. 1249-1274, 2000.
    • (2000) Automatica , vol.36 , pp. 1249-1274
    • Blondel, V.D.1    Tsitsiklis, J.N.2
  • 10
    • 0032204005 scopus 로고    scopus 로고
    • Robustness analysis for systems with ellipsoidal uncertainty
    • R. D. Braatz and O. D. Crisalle, "Robustness analysis for systems with ellipsoidal uncertainty," Int. J. Robust Nonlinear Control, vol. 8, pp. 1113-1117, 1998.
    • (1998) Int. J. Robust Nonlinear Control , vol.8 , pp. 1113-1117
    • Braatz, R.D.1    Crisalle, O.D.2
  • 11
    • 0030106747 scopus 로고    scopus 로고
    • H-infinity design with pole placement constraints: An LMI approach
    • Mar.
    • M. Chilali and P. Gahinet, "H-infinity design with pole placement constraints: An LMI approach," IEEE Trans. Automat. Contr., vol. 41, pp. 358-367, Mar. 1996.
    • (1996) IEEE Trans. Automat. Contr. , vol.41 , pp. 358-367
    • Chilali, M.1    Gahinet, P.2
  • 14
    • 0036540837 scopus 로고    scopus 로고
    • Parameterization of positive-real transfer functions with fixed poles
    • Apr.
    • B. Dumitrescu, "Parameterization of positive-real transfer functions with fixed poles," IEEE Trans. Circuits Syst. I, vol. 49, pp. 523-526, Apr. 2002.
    • (2002) IEEE Trans. Circuits Syst. I , vol.49 , pp. 523-526
    • Dumitrescu, B.1
  • 17
    • 0035835256 scopus 로고    scopus 로고
    • Low-order robust controller synthesis for interval plants
    • D. Henrion and O. Bachelier, "Low-order robust controller synthesis for interval plants," Int. J. Control, vol. 74, no. 1, pp. 1-9, 2001.
    • (2001) Int. J. Control , vol.74 , Issue.1 , pp. 1-9
    • Henrion, D.1    Bachelier, O.2
  • 18
    • 0035284191 scopus 로고    scopus 로고
    • An LMI condition for robust stability of polynomial matrix polytopes
    • D. Henrion, D. Arzelier, D. Peaucelle, and M. Sebek, "An LMI condition for robust stability of polynomial matrix polytopes," Automatica, vol. 37, no. 3, pp. 461-468, 2001.
    • (2001) Automatica , vol.37 , Issue.3 , pp. 461-468
    • Henrion, D.1    Arzelier, D.2    Peaucelle, D.3    Sebek, M.4
  • 19
    • 0035918736 scopus 로고    scopus 로고
    • D-stability of polynomial matrices
    • D. Henrion, O. Bachelier, and M. Šebek, "D-stability of polynomial matrices," Int. J. Control, vol. 74, no. 8, pp. 845-856, 2001.
    • (2001) Int. J. Control , vol.74 , Issue.8 , pp. 845-856
    • Henrion, D.1    Bachelier, O.2    Šebek, M.3
  • 21
    • 0033148247 scopus 로고    scopus 로고
    • Combined pole placement/sensitivity function shaping method using convex optimization criteria
    • J. Langer and I. D. Landau, "Combined pole placement/sensitivity function shaping method using convex optimization criteria," Automatica, vol. 35, no. 6, pp. 1111-1120, 1999.
    • (1999) Automatica , vol.35 , Issue.6 , pp. 1111-1120
    • Langer, J.1    Landau, I.D.2
  • 22
    • 0035238864 scopus 로고    scopus 로고
    • Global optimization with polynomials and the problem of moments
    • J. B. Lasserre, "Global optimization with polynomials and the problem of moments," SIAM J. Optim., vol. 11, no. 3, pp. 796-817, 2001.
    • (2001) SIAM J. Optim. , vol.11 , Issue.3 , pp. 796-817
    • Lasserre, J.B.1
  • 23
    • 0001776805 scopus 로고    scopus 로고
    • Squared functional systems and optimization problems
    • H. Frenk, K. Roos, T. Terlaky, and S. Zhang, Eds. Dordrecht, The Netherlands: Kluwer, ch. 17
    • Yu. Nesterov, "Squared functional systems and optimization problems," in High Performance Optimization, H. Frenk, K. Roos, T. Terlaky, and S. Zhang, Eds. Dordrecht, The Netherlands: Kluwer, 2000, ch. 17, pp. 405-440.
    • (2000) High Performance Optimization , pp. 405-440
    • Nesterov, Yu.1
  • 25
    • 0002588085 scopus 로고    scopus 로고
    • A new robust D-stability condition for real convex polytopic uncertainty
    • D. Peaucelle, D. Arzelier, O. Bachelier, and J. Bernussou, "A new robust D-stability condition for real convex polytopic uncertainty," Syst. Control Lett., vol. 40, pp. 21-30, 2000.
    • (2000) Syst. Control Lett. , vol.40 , pp. 21-30
    • Peaucelle, D.1    Arzelier, D.2    Bachelier, O.3    Bernussou, J.4
  • 26
    • 1542373096 scopus 로고    scopus 로고
    • Matlab, Inc., ver. 2.5. [Online]
    • Polyx, Ltd.. (2001) The polynomial toolbox for Matlab. Matlab, Inc., ver. 2.5. [Online]. Available: www.polyx.cz.
    • (2001) The Polynomial Toolbox for Matlab
  • 27
    • 0028497063 scopus 로고
    • A convex parameterization of robustly stabilizing controllers
    • Sept.
    • A. Rantzer and A. Megretski, "A convex parameterization of robustly stabilizing controllers," IEEE Trans. Automat. Contr., vol. 39, pp. 1802-1808, Sept. 1994.
    • (1994) IEEE Trans. Automat. Contr. , vol.39 , pp. 1802-1808
    • Rantzer, A.1    Megretski, A.2
  • 29
    • 0034539686 scopus 로고    scopus 로고
    • Robust strict positive realness via polynomial positivity
    • Chicago, IL
    • D. M. Stipanović and D. D. Šiljak, "Robust strict positive realness via polynomial positivity," in Proc. Amer. Control Conf., Chicago, IL, 2000, pp. 4318-4325.
    • (2000) Proc. Amer. Control Conf. , pp. 4318-4325
    • Stipanović, D.M.1    Šiljak, D.D.2
  • 30
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, a Matlab toolbox for optimization over symmetric cones
    • J. F. Sturm, "Using SeDuMi 1.02, a Matlab toolbox for optimization over symmetric cones," Optim. Meth. Software, vol. 11-12, pp. 625-653, 1999.
    • (1999) Optim. Meth. Software , vol.11-12 , pp. 625-653
    • Sturm, J.F.1
  • 31
    • 0028370827 scopus 로고
    • A computational technique for the robust root locus
    • Jan.
    • Y. Tong and N. K. Sinha, "A computational technique for the robust root locus," IEEE Trans. Ind. Electron., vol. 41, pp. 79-85, Jan. 1994.
    • (1994) IEEE Trans. Ind. Electron. , vol.41 , pp. 79-85
    • Tong, Y.1    Sinha, N.K.2
  • 33
    • 0034196172 scopus 로고    scopus 로고
    • Low-order controller design for SISO systems using coprime factors and LMI
    • June
    • S. Wang and J. H. Chow, "Low-order controller design for SISO systems using coprime factors and LMI," IEEE Trans. Automat. Contr., vol. 45, pp. 1166-1169, June 2000.
    • (2000) IEEE Trans. Automat. Contr. , vol.45 , pp. 1166-1169
    • Wang, S.1    Chow, J.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.