메뉴 건너뛰기




Volumn 49, Issue 2, 2004, Pages 310-314

Nonlinear Control Synthesis by Convex Optimization

Author keywords

Density functions; Nonlinear control; Semidefinite programming relaxation; Sum of squares decomposition

Indexed keywords

CONTROL EQUIPMENT; LYAPUNOV METHODS; OPTIMIZATION; POLYNOMIALS; PROBABILITY DENSITY FUNCTION; STABILITY; STATE SPACE METHODS; THEOREM PROVING;

EID: 1442288703     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.823000     Document Type: Article
Times cited : (286)

References (18)
  • 2
    • 0020848962 scopus 로고
    • Stabilization with relaxed controls
    • Z. Artstein, "Stabilization with relaxed controls," Nonlinear Anal., vol. 7, pp. 1163-1173, 1983.
    • (1983) Nonlinear Anal. , vol.7 , pp. 1163-1173
    • Artstein, Z.1
  • 3
    • 0001215663 scopus 로고
    • Asymptotic stability and feedback stabilization
    • Boston, MA: Birkhäuser
    • R. W. Brockett, "Asymptotic stability and feedback stabilization," in Differential Geometric Control Theory. Boston, MA: Birkhäuser, 1983, pp. 181-191.
    • (1983) Differential Geometric Control Theory , pp. 181-191
    • Brockett, R.W.1
  • 5
    • 0033228328 scopus 로고    scopus 로고
    • Low-authority controller design via convex optimization
    • A. Hassibi, J. P. How, and S. Boyd, "Low-authority controller design via convex optimization," AIAA J. Guid., Control, Dyna., vol. 22, no. 6, pp. 862-872, 1999.
    • (1999) AIAA J. Guid., Control, Dyna. , vol.22 , Issue.6 , pp. 862-872
    • Hassibi, A.1    How, J.P.2    Boyd, S.3
  • 8
    • 0032680605 scopus 로고    scopus 로고
    • Inverse optimal stabilization of a rigid space-craft
    • May
    • M. Krstic and P. Tsiotras, "Inverse optimal stabilization of a rigid space-craft," IEEE Trans. Automat. Contr., vol. 44, pp. 1042-1049, May 1999.
    • (1999) IEEE Trans. Automat. Contr. , vol.44 , pp. 1042-1049
    • Krstic, M.1    Tsiotras, P.2
  • 9
    • 0033197348 scopus 로고    scopus 로고
    • A Lyapunov characterization of robust stabilization
    • Y. S. Ledyaev and E. D. Sontag, "A Lyapunov characterization of robust stabilization," Nonlinear Anal., vol. 37, pp. 813-840, 1999.
    • (1999) Nonlinear Anal. , vol.37 , pp. 813-840
    • Ledyaev, Y.S.1    Sontag, E.D.2
  • 11
    • 0036992823 scopus 로고    scopus 로고
    • On the construction of Lyapunov functions using the sum of squares decomposition
    • A. Papachristodoulou and S. Prajna, "On the construction of Lyapunov functions using the sum of squares decomposition," in Proc. 41st IEEE Conf. Decision Control, 2002, pp. 3482-3487.
    • (2002) Proc. 41st IEEE Conf. Decision Control , pp. 3482-3487
    • Papachristodoulou, A.1    Prajna, S.2
  • 13
    • 0036990890 scopus 로고    scopus 로고
    • Introducing SOSTOOLS: A general purpose sum of squares programming solver
    • [Online]. http://www.aut.ee.ethz.ch/~parrilo/sostools
    • S. Prajna, A. Papachristodoulou, and P. A. Parrilo. Introducing SOSTOOLS: A general purpose sum of squares programming solver. presented at 41st IEEE Conf. Decision Control. [Online]. Available: http://www.cds.caltech.edu/ sostools and http://www.aut.ee.ethz.ch/~parrilo/sostools
    • 41st IEEE Conf. Decision Control
    • Prajna, S.1    Papachristodoulou, A.2    Parrilo, P.A.3
  • 15
    • 0034916151 scopus 로고    scopus 로고
    • A dual to Lyapunov's stability theorem
    • A. Rantzer, "A dual to Lyapunov's stability theorem," Syst. Control Lett., vol. 42, no. 3, pp. 161-168, 2001.
    • (2001) Syst. Control Lett. , vol.42 , Issue.3 , pp. 161-168
    • Rantzer, A.1
  • 16
    • 0027685324 scopus 로고
    • A survey of attitude representations
    • M. D. Shuster, "A survey of attitude representations," J. Astro. Sci., vol. 41, no. 4, pp. 439-517, 1993.
    • (1993) J. Astro. Sci. , vol.41 , Issue.4 , pp. 439-517
    • Shuster, M.D.1
  • 17
    • 0027556195 scopus 로고
    • Convex duality and nonlinear optimal control
    • R. Vinter, "Convex duality and nonlinear optimal control," SIAM J. Control Optim., vol. 31, no. 2, pp. 518-538, 1993.
    • (1993) SIAM J. Control Optim. , vol.31 , Issue.2 , pp. 518-538
    • Vinter, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.