메뉴 건너뛰기




Volumn 34, Issue 4, 1989, Pages 427-434

Frequency Response Algorithms for H∞ Optimization with Time Domain Constraints

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL PROGRAMMING, LINEAR; MATHEMATICAL TECHNIQUES--LEAST SQUARES APPROXIMATIONS; OPTIMIZATION;

EID: 0024648040     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.28017     Document Type: Article
Times cited : (34)

References (44)
  • 2
    • 0019559036 scopus 로고
    • Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
    • G. Zames, “Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses,” IEEE Trans. Automat. Contr., vol. AC-26, no. 4, pp. 301-320, 1981.
    • (1981) IEEE Trans. Automat. Contr. , vol.AC-26 , Issue.4 , pp. 301-320
    • Zames, G.1
  • 3
    • 0023327453 scopus 로고
    • l 1 optimal feedback controllers for MIMO discrete-time systems
    • Apr.
    • M. A. Dahleh and J. B. Pearson, Jr.. “l 1 optimal feedback controllers for MIMO discrete-time systems,” IEEE Trans. Automat. Contr., vol. AC-32, pp. 314-323, Apr. 1987.
    • (1987) IEEE Trans. Automat. Contr. , vol.AC-32 , pp. 314-323
    • Dahleh, M.A.1    Pearson, J.B.2
  • 4
    • 0019531761 scopus 로고
    • Multivariable feedback design: concepts for a classical/modern synthesis
    • J. C. Doyle and G. Stein, “Multivariable feedback design: concepts for a classical/modern synthesis,” IEEE Trans. Automat. Contr., vol. AC-26, no.1. pp. 4-16, 1981.
    • (1981) IEEE Trans. Automat. Contr. , vol.AC-26 , pp. 4-16
    • Doyle, J.C.1    Stein, G.2
  • 5
    • 0019527933 scopus 로고
    • Feedback properties of multivariable systems: The role and use of the return difference matrix
    • M. G. Safonov, A. Laub, and G. L. Hartmann, “Feedback properties of multivariable systems: The role and use of the return difference matrix,” IEEE Trans. Automat. Contr., vol. 26, no. 1. pp. 47-65, 1981.
    • (1981) IEEE Trans. Automat. Contr. , vol.26 , Issue.1 , pp. 47-65
    • Safonov, M.G.1    Laub, A.2    Hartmann, G.L.3
  • 7
    • 0020884074 scopus 로고
    • Synthesis of robust controllers and filters
    • Antonio. TX. Dec.
    • J. C. Doyle, “Synthesis of robust controllers and filters,” in Proc. 22nd Conf. Decision Contr., Antonio. TX. Dec. 1983.
    • (1983) Proc. 22nd Conf. Decision Contr.
    • Doyle, J.C.1
  • 9
    • 0022757414 scopus 로고
    • A polynomial approach to minimax frequency domain optimization of multivariable feedback systems
    • H. Kwakernaak, “A polynomial approach to minimax frequency domain optimization of multivariable feedback systems,” Int. J. Contr., vol. 44, no. 1, pp. 117-156, 1986.
    • (1986) Int. J. Contr. , vol.44 , Issue.1 , pp. 117-156
    • Kwakernaak, H.1
  • 10
    • 2142831394 scopus 로고
    • L ∞ -optimal sensitivity versus stability margin
    • San Antonio, TX
    • M. G. Safonov, “L ∞ -optimal sensitivity versus stability margin,” in Proc. 22nd Conf. Decision Contr., San Antonio, TX, 1983.
    • (1983) Proc. 22nd Conf. Decision Contr.
    • Safonov, M.G.1
  • 11
    • 0009448785 scopus 로고
    • L ∞ compensation with mixed sensitivity as a broadband matching problem
    • M. Verma and E. Jonckheere, “L ∞ compensation with mixed sensitivity as a broadband matching problem,” Syst. Contr. Lett., vol. 4, pp. 125-129, 1984.
    • (1984) Syst. Contr. Lett. , vol.4 , pp. 125-129
    • Verma, M.1    Jonckheere, E.2
  • 12
    • 0018205688 scopus 로고
    • Light bounds on the response of multivariable systems with component uncertainty
    • Monticello, 1L
    • M. G. Safonov, “Light bounds on the response of multivariable systems with component uncertainty,” in Proc. 16th Allerton Conf., Monticello, 1L, 1978.
    • (1978) Proc. 16th Allerton Conf.
    • Safonov, M.G.1
  • 13
    • 0020203138 scopus 로고
    • Analysis of feedback systems with structured uncertainty
    • pt. D
    • J. C. Doyle, “Analysis of feedback systems with structured uncertainty,” IEE Proc., vol. 129, pt. D, no. 6, pp. 242-250, 1981.
    • (1981) IEE Proc. , vol.129 , Issue.6 , pp. 242-250
    • Doyle, J.C.1
  • 14
    • 0345780506 scopus 로고
    • Robust feedback synthesis via conformal mappings and H ∞ optimization
    • Ph.D. dissertation, Univ. Southern Calif., Los Angeles, July
    • A. Sideris, “Robust feedback synthesis via conformal mappings and H ∞ optimization,” Ph.D. dissertation, Univ. Southern Calif., Los Angeles, July 1985.
    • (1985)
    • Sideris, A.1
  • 15
    • 0016034610 scopus 로고
    • Single-loop feedback stabilization of linear multivariable dynamical plants
    • D. C. Youla, J. J. Bongiorno, Jr., and C. N. Lu, “Single-loop feedback stabilization of linear multivariable dynamical plants,” Automatica, vol. 10, pp. 159-173, 1974.
    • (1974) Automatica , vol.10 , pp. 159-173
    • Youla, D.C.1    Bongiorno, J.J.2    Lu, C. N3
  • 16
    • 0021641705 scopus 로고
    • H ∞ control for competing objectives
    • Las Vegas, NV
    • J. W. Helton, “ H ∞ control for competing objectives,” IEEE Conf. Decision Contr., Las Vegas, NV, 1984.
    • (1984) IEEE Conf. Decision Contr.
    • Helton, J.W.1
  • 17
    • 0022181927 scopus 로고
    • Worst case analysis in the frequency domain: The H ∞ approach to control
    • —, “Worst case analysis in the frequency domain: The H ∞ approach to control,” IEEE Trans. Automat. Contr., vol. 30, no. 12, pp. 1154-1170, 1985.
    • (1985) IEEE Trans. Automat. Contr. , vol.30 , Issue.12 , pp. 1154-1170
  • 18
    • 84941871549 scopus 로고
    • Design of linear control systems for robust stability and performance
    • Uncertain Syst., Boston, MA, June
    • A. Sideris and M. G. Safonov, “Design of linear control systems for robust stability and performance,” in Proc. IFAC Workshop on Estimation Contr., Uncertain Syst., Boston, MA, June 1985.
    • (1985) Proc. IFAC Workshop on Estimation Contr.
    • Sideris, A.1    Safonov, M.G.2
  • 19
    • 0008164406 scopus 로고
    • Robust synthesis of SISO feedback systems using conformal maps and H ∞ theory—A design example
    • Seattle, WA, June
    • A. Sideris and M. G. Safonov, “Robust synthesis of SISO feedback systems using conformal maps and H ∞ theory—A design example,” in Proc. Automat. Contr. Conf., Seattle, WA, June 1986.
    • (1986) Proc. Automat. Contr. Conf.
    • Sideris, A.1    Safonov, M.G.2
  • 20
    • 0021441691 scopus 로고
    • All optimal Hankel-norm approximations of linear multivariable systems and their L ∞ error bounds
    • K. Glover, “All optimal Hankel-norm approximations of linear multivariable systems and their L ∞ error bounds,” Int. J. Contr., vol. 39, no. 6, pp. 1115-1193, 1984.
    • (1984) Int. J. Contr. , vol.39 , Issue.6 , pp. 1115-1193
    • Glover, K.1
  • 21
    • 84941862147 scopus 로고
    • Linear controller design as convex programming in l 1
    • Minneapolis, MN, June
    • S. Boyd, “Linear controller design as convex programming in l 1 ,” in Proc. Amer. Contr. Conf., Minneapolis, MN, June 1987.
    • (1987) Proc. Amer. Contr. Conf.
    • Boyd, S.1
  • 22
    • 0003406765 scopus 로고
    • Contributions to the theory of linear least maximum approximations
    • M.S. thesis, Univ. Calif., Los Angeles
    • C. L. Lawson, “Contributions to the theory of linear least maximum approximations,” M.S. thesis, Univ. Calif., Los Angeles, 1961.
    • (1961)
    • Lawson, C.L.1
  • 23
    • 0007235470 scopus 로고
    • Rational Chebyshev approximation on the unit disk
    • L. N. Trefethen, “Rational Chebyshev approximation on the unit disk,” Numeric. Math., vol. 37, 297-320, 1981.
    • (1981) Numeric. Math. , vol.37 , pp. 297-320
    • Trefethen, L.N.1
  • 24
    • 0022129320 scopus 로고
    • An algorithm for the solution of systems of complex linear equations in the l ∞ norm with constraints on the unknowns
    • R. L. Streit, “An algorithm for the solution of systems of complex linear equations in the l ∞ norm with constraints on the unknowns,” ACM Trans. Math. Software, vol. 11, no. 3, 242-249, 1985.
    • (1985) ACM Trans. Math. Software , vol.11 , Issue.3 , pp. 242-249
    • Streit, R.L.1
  • 26
    • 84968505432 scopus 로고
    • Rate of convergence of Lawson’s algorithm
    • A. K. Cline, “Rate of convergence of Lawson’s algorithm” Math. Comp., vol. 26, pp. 167-176, 1972.
    • (1972) Math. Comp. , vol.26 , pp. 167-176
    • Cline, A.K.1
  • 27
    • 84966234912 scopus 로고
    • Linear Chebyshev approximation in the complex plane using Lawson’s algorithm
    • S. Elacott and J. Williams, “Linear Chebyshev approximation in the complex plane using Lawson’s algorithm,” Math. Comput., vol. 30, no. 133, pp. 35-44, 1976.
    • (1976) Math. Comput. , vol.30 , Issue.133 , pp. 35-44
    • Elacott, S.1    Williams, J.2
  • 28
    • 0042228807 scopus 로고
    • Rational Caratheodory-Fejer approximation on a disk, a circle and an interval
    • M. H. Gutknecht, “Rational Caratheodory-Fejer approximation on a disk, a circle and an interval,” J. Approx. Theory, vol. 41, pp. 257-278, 1984.
    • (1984) J. Approx. Theory , vol.41 , pp. 257-278
    • Gutknecht, M.H.1
  • 29
    • 0019715586 scopus 로고
    • Broadband gain equalization directly from data
    • J. W. Helton, “Broadband gain equalization directly from data,” IEEE Trans. Circuits Syst., vol. CAS-28, pp. 1125-1137, 1981.
    • (1981) IEEE Trans. Circuits Syst. , vol.CAS-28 , pp. 1125-1137
    • Helton, J.W.1
  • 30
    • 84941873093 scopus 로고    scopus 로고
    • The best approximation to a vector-valued continuous function from the bounded analytic functions
    • J. W. Helton and D. Schwarz, “The best approximation to a vector-valued continuous function from the bounded analytic functions,” preprint.
    • preprint.
    • Helton, J.W.1    Schwarz, D.2
  • 32
    • 84941862743 scopus 로고
    • Algorithms for optimal design of feedback compensators
    • Phoenix, AZ, June
    • L. Polak and S. Salcudean, “Algorithms for optimal design of feedback compensators,” presented at MTNS 1987, Phoenix, AZ, June 1987.
    • (1987) presented at MTNS 1987
    • Polak, L.1    Salcudean, S.2
  • 33
    • 84968497045 scopus 로고
    • The Lawson algorithm and extensions
    • J. R. Rice and K. H. Usow, “The Lawson algorithm and extensions,” Math. Comput., vol. 22, pp. 118-127, 1968.
    • (1968) Math. Comput. , vol.22 , pp. 118-127
    • Rice, J.R.1    Usow, K.H.2
  • 34
    • 0003222649 scopus 로고    scopus 로고
    • A course in H ∞ control theory
    • M. Thoma and A. Wyner, Eds. New York: Springer-Verlag
    • B. A. Francis, “A course in H ∞ control theory,” in Lecture Notes in Control and Information Sciences, M. Thoma and A. Wyner, Eds. New York: Springer-Verlag, vol. 88.
    • Lecture Notes in Control and Information Sciences , vol.88
    • Francis, B.A.1
  • 35
    • 0009380624 scopus 로고
    • H ∞ optimal control as a weighted Wiener-Hopf problem: The SISO case
    • Los Angeles, CA, Dec.
    • A. Sideris and D. Kavranoglu, “ H ∞ optimal control as a weighted Wiener-Hopf problem: The SISO case,” in Proc. 26th Conf. Decision Contr., Los Angeles, CA, Dec. 1987.
    • (1987) Proc. 26th Conf. Decision Contr.
    • Sideris, A.1    Kavranoglu, D.2
  • 36
    • 0001351728 scopus 로고
    • Fast Fourier methods in computational complex analysis
    • P. Henrici, “Fast Fourier methods in computational complex analysis,” SIAM Rev., vol. 21, pp. 481-527, 1979.
    • (1979) SIAM Rev. , vol.21 , pp. 481-527
    • Henrici, P.1
  • 37
    • 0020881843 scopus 로고
    • On the average number of steps of the simplex method of linear programing
    • S. Smale, “On the average number of steps of the simplex method of linear programing,” Math. Progr., vol. 27. pp. 241-262, 1983.
    • (1983) Math. Progr. , vol.27 , pp. 241-262
    • Smale, S.1
  • 42
    • 84941858706 scopus 로고
    • A primer on the H ∞ disk method in the frequency domain design: control, documentation for a publicly distributed computer program
    • Mar., preprint.
    • J. W. Helton, J. Bence, and D. F. Schwartz, “A primer on the H ∞ disk method in the frequency domain design: control, documentation for a publicly distributed computer program,” UCSD Tech. Rep., Mar. 1985, preprint.
    • (1985) UCSD Tech. Rep.
    • Helton, J.W.1    Bence, J.2    Schwartz, D.F.3
  • 43
    • 15544377512 scopus 로고
    • Numerical algorithms for the Nevalinna-Pick problem
    • A. C. Allison and N. J. Young, “Numerical algorithms for the Nevalinna-Pick problem,” Numerische Mathematic, vol. 42, pp. 125-145, 1983.
    • (1983) Numerische Mathematic , vol.42 , pp. 125-145
    • Allison, A.C.1    Young, N.J.2
  • 44
    • 0006414149 scopus 로고
    • Optimization over spaces of analytic functions and the Corona problem
    • J. W. Helton, “Optimization over spaces of analytic functions and the Corona problem,” J. Oper. Theory, vol. 15, pp. 359-375, 1986.
    • (1986) J. Oper. Theory , vol.15 , pp. 359-375
    • Helton, J.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.