메뉴 건너뛰기




Volumn 51, Issue 9, 2006, Pages 1423-1439

Near optimal LQR performance for a compact set of plants

Author keywords

Linear quadratic regulator (LQR) problem; Optimal control; Periodic control; Robust control

Indexed keywords

MATHEMATICAL MODELS; POLES AND ZEROS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); SET THEORY; TIME VARYING CONTROL SYSTEMS;

EID: 33749007974     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.880961     Document Type: Article
Times cited : (33)

References (31)
  • 1
    • 0032659926 scopus 로고    scopus 로고
    • "Simultaneous stabilization and pole assignment by two level controllers consisting of a gain feedback and a multirate input controller"
    • M. Araki, K. Fukumitsu, and T. Hagiwara, "Simultaneous stabilization and pole assignment by two level controllers consisting of a gain feedback and a multirate input controller," J. Dyna. Syst., Measure. Control, vol. 121, pp. 302-304, 1999.
    • (1999) J. Dyna. Syst., Measure. Control , vol.121 , pp. 302-304
    • Araki, M.1    Fukumitsu, K.2    Hagiwara, T.3
  • 4
    • 1542311603 scopus 로고    scopus 로고
    • "Almost optimal adaptive lq control: SISO case"
    • J. Daams and J. W. Poldermann, "Almost optimal adaptive lq control: SISO case," Math. Control, Signals, Syst., vol. 15, pp. 71-100, 2002.
    • (2002) Math. Control, Signals, Syst. , vol.15 , pp. 71-100
    • Daams, J.1    Poldermann, J.W.2
  • 5
    • 0020888181 scopus 로고
    • "Analytic stabilization and the algebraic riccati equation"
    • D. F. Delchamps, "Analytic stabilization and the algebraic riccati equation," in Proc. IEEE Conf. Decision and Control, 1983, pp. 1396-1401.
    • (1983) Proc. IEEE Conf. Decision and Control , pp. 1396-1401
    • Delchamps, D.F.1
  • 6
    • 0022875454 scopus 로고
    • "Adaptive stabilization of linear systems via switching control"
    • Dec
    • M. Fu and B. R. Barmish, "Adaptive stabilization of linear systems via switching control," IEEE Trans. Autom. Control, vol. AC-31, no. 12, pp. 1097-1103, Dec. 1986.
    • (1986) IEEE Trans. Autom. Control , vol.AC-31 , Issue.12 , pp. 1097-1103
    • Fu, M.1    Barmish, B.R.2
  • 10
    • 0023421677 scopus 로고
    • "Control of linear systems using generalized sampled-data hold functions"
    • Sep
    • P. T. Kabamba, "Control of linear systems using generalized sampled-data hold functions," IEEE Trans. Autom. Control, vol. AC-32, no. 9, pp. 772-783, Sep. 1987.
    • (1987) IEEE Trans. Autom. Control , vol.AC-32 , Issue.9 , pp. 772-783
    • Kabamba, P.T.1
  • 11
    • 0025723082 scopus 로고
    • "Simultaneous controller design for linear time-invariant systems"
    • Jan
    • P. T. Kabamba and C. Yang, "Simultaneous controller design for linear time-invariant systems," IEEE Trans. Autom. Control, vol. AC-36, no. 1, pp. 106-111, Jan. 1991.
    • (1991) IEEE Trans. Autom. Control , vol.AC-36 , Issue.1 , pp. 106-111
    • Kabamba, P.T.1    Yang, C.2
  • 12
    • 0021170475 scopus 로고
    • "On the control of linear systems whose coefficients are functions of parameters"
    • Jan
    • E. W. Kamen and P. P. Khargonekar, "On the control of linear systems whose coefficients are functions of parameters," IEEE Trans. Autom. Control, vol. AC-29, no. 1, pp. 25-33, Jan. 1984.
    • (1984) IEEE Trans. Autom. Control , vol.AC-29 , Issue.1 , pp. 25-33
    • Kamen, E.W.1    Khargonekar, P.P.2
  • 13
    • 0022152467 scopus 로고
    • "Robust control of linear time-invariant plants using periodic compensation"
    • Nov
    • P. P. Khargonekar, K. Poolla, and A. Tannenbaum, "Robust control of linear time-invariant plants using periodic compensation," IEEE Trans. Autom. Control, vol. AC-30, no. 11, pp. 1088-1096, Nov. 1985.
    • (1985) IEEE Trans. Autom. Control , vol.AC-30 , Issue.11 , pp. 1088-1096
    • Khargonekar, P.P.1    Poolla, K.2    Tannenbaum, A.3
  • 14
    • 0001725233 scopus 로고
    • "Asymptotic stability of an equivalent position of a family of systems of linear differential equations"
    • V. L. Kharitinov, "Asymptotic stability of an equivalent position of a family of systems of linear differential equations," Differential'nye Uraveniya, vol. 14, no. 11, pp. 1483-1485, 1978.
    • (1978) Differential'nye Uraveniya , vol.14 , Issue.11 , pp. 1483-1485
    • Kharitinov, V.L.1
  • 16
    • 2542493190 scopus 로고    scopus 로고
    • "Near optimal LQR performance for uncertain first order systems"
    • L. Luo and D. E. Miller, "Near optimal LQR performance for uncertain first order systems," Int. J. Adapt. Control Signal Process., vol. 18, pp. 349-368, 2004.
    • (2004) Int. J. Adapt. Control Signal Process. , vol.18 , pp. 349-368
    • Luo, L.1    Miller, D.E.2
  • 17
    • 0022101209 scopus 로고
    • "The order of any stabilizing regulator is sufficient a priori information for adaptive stabilization"
    • B. Mårtensson, "The order of any stabilizing regulator is sufficient a priori information for adaptive stabilization," Syst. Control Lett., pp. 87-91, 1985.
    • (1985) Syst. Control Lett. , pp. 87-91
    • Mårtensson, B.1
  • 18
    • 0024665725 scopus 로고
    • "The self-tuning robust servomechanism problem"
    • May
    • D. E. Miller and E. J. Davison, "The self-tuning robust servomechanism problem," IEEE Trans. Autom. Control, vol. AC-34, no. 5, pp. 511-523, May 1989.
    • (1989) IEEE Trans. Autom. Control , vol.AC-34 , Issue.5 , pp. 511-523
    • Miller, D.E.1    Davison, E.J.2
  • 19
    • 0025755076 scopus 로고
    • "An adaptive controller which provides an arbitrarily good transient and steady-state response"
    • Jan
    • D. E. Miller and E. J. Davison, "An adaptive controller which provides an arbitrarily good transient and steady-state response," IEEE Trans. Autom. Control, vol. 36, no. 1, pp. 68-81, Jan. 1991.
    • (1991) IEEE Trans. Autom. Control , vol.36 , Issue.1 , pp. 68-81
    • Miller, D.E.1    Davison, E.J.2
  • 20
    • 0038293151 scopus 로고    scopus 로고
    • "A new approach to model reference adaptive control"
    • May
    • D. E. Miller, "A new approach to model reference adaptive control," IEEE Trans. Autom. Control, vol. 48, no. 5, pp. 743-757, May 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.5 , pp. 743-757
    • Miller, D.E.1
  • 21
    • 1542320283 scopus 로고    scopus 로고
    • "Near optimal LQR performance for a compact set of plants"
    • Maui, HI, Dec
    • D. E. Miller, "Near optimal LQR performance for a compact set of plants," in Proc. IEEE 2003 Conf. Decision and Control, Maui, HI, Dec. 2003, pp. 1807-1812.
    • (2003) Proc. IEEE 2003 Conf. Decision and Control , pp. 1807-1812
    • Miller, D.E.1
  • 22
    • 33748990447 scopus 로고    scopus 로고
    • Near optimal LQR performance for a compact set of plants
    • Dept. Elect. Comp. Eng., Univ. Waterloo, Waterloo, ON, Canada, Tech. Rep. UW-E&CE#2004-22, Sep. 24
    • D. E. Miller, Near optimal LQR performance for a compact set of plants Dept. Elect. Comp. Eng., Univ. Waterloo, Waterloo, ON, Canada, Tech. Rep. UW-E&CE#2004-22, Sep. 24, 2004.
    • (2004)
    • Miller, D.E.1
  • 23
    • 0037093653 scopus 로고    scopus 로고
    • "Simultaneous stabilization with near optimal model matching"
    • D. E. Miller and D. C. Kennedy, "Simultaneous stabilization with near optimal model matching," Syst. Control Lett., vol. 46, pp. 31-43, 2002.
    • (2002) Syst. Control Lett. , vol.46 , pp. 31-43
    • Miller, D.E.1    Kennedy, D.C.2
  • 24
    • 0035471383 scopus 로고    scopus 로고
    • "Simultaneous stabilization with near optimal LQR performance"
    • Oct
    • D. E. Miller and M. Rossi, "Simultaneous stabilization with near optimal LQR performance," IEEE Trans. Autom. Control, vol. 46, no. 10, pp. 1543-1555, Oct. 2001.
    • (2001) IEEE Trans. Autom. Control , vol.46 , Issue.10 , pp. 1543-1555
    • Miller, D.E.1    Rossi, M.2
  • 25
    • 0019031752 scopus 로고
    • "Global stability of parameter-adaptive control systems"
    • Jun
    • A. S. Morse, "Global stability of parameter-adaptive control systems," IEEE Trans. Autom. Control, vol.AC-25, no. 3, pp. 433-439, Jun. 1980.
    • (1980) IEEE Trans. Autom. Control , vol.AC-25 , Issue.3 , pp. 433-439
    • Morse, A.S.1
  • 26
    • 0030257988 scopus 로고    scopus 로고
    • "Supervisory control of families of linear set-point controllers - Part 1: Exact matching"
    • Oct
    • A. S. Morse, "Supervisory control of families of linear set-point controllers - Part 1: Exact matching," IEEE Trans. Autom. Control, vol. 41, no. 10, pp. 1413-1431, Oct. 1996.
    • (1996) IEEE Trans. Autom. Control , vol.41 , Issue.10 , pp. 1413-1431
    • Morse, A.S.1
  • 27
    • 0031272802 scopus 로고    scopus 로고
    • "Supervisory control of families of linear set-point controllers - Part 2: Robustness"
    • Nov
    • A. S. Morse, "Supervisory control of families of linear set-point controllers - Part 2: Robustness," IEEE Trans. Autom. Control, vol. 42, no. 11, pp. 1500-1515, Nov. 1997.
    • (1997) IEEE Trans. Autom. Control , vol.42 , Issue.11 , pp. 1500-1515
    • Morse, A.S.1
  • 28
    • 0019031650 scopus 로고
    • "Stable adaptive controller design, part II: Proof of stability"
    • Jun
    • K. S. Narendra, Y. H. Lin, and L. S. Valavani, "Stable adaptive controller design, part II: Proof of stability," IEEE Trans. Autom. Control, vol. AC-25, no. 3, pp. 440-448, Jun. 1980.
    • (1980) IEEE Trans. Autom. Control , vol.AC-25 , Issue.3 , pp. 440-448
    • Narendra, K.S.1    Lin, Y.H.2    Valavani, L.S.3
  • 29
    • 0031075855 scopus 로고    scopus 로고
    • "Adaptive control using multiple models"
    • Feb
    • K. S. Narendra and J. Balakrishnan, "Adaptive control using multiple models," IEEE Trans. Autom. Control, vol. 42, no. 2, pp. 171-187, Feb. 1997.
    • (1997) IEEE Trans. Autom. Control , vol.42 , Issue.2 , pp. 171-187
    • Narendra, K.S.1    Balakrishnan, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.