메뉴 건너뛰기




Volumn 6, Issue 1, 2000, Pages 111-150

Estimation of the region of attraction of the origin of closed-loop linear systems with saturated linear controllers: A first harmonic approach

Author keywords

Control systems; First harmonic periodic orbits; Region of attraction

Indexed keywords


EID: 0040782232     PISSN: 1405213X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (5)

References (20)
  • 1
    • 0031279822 scopus 로고    scopus 로고
    • First harmonic analysis of linear control systems with high-gain saturated feedback
    • B. AGUIRRE, J. ALVAREZ-RAMÍREZ, G. FERNÁNDEZ AND R. SUÁREZ, First harmonic analysis of linear control systems with high-gain saturated feedback, Internat. J. Bifur. Chaos 7 (11) (1997), 2501-2510.
    • (1997) Internat. J. Bifur. Chaos , vol.7 , Issue.11 , pp. 2501-2510
    • Aguirre, B.1    Alvarez-Ramírez, J.2    Fernández, G.3    Suárez, R.4
  • 2
    • 0032425378 scopus 로고    scopus 로고
    • Symmetry breaking of periodic orbits in control systems: A harmonic balance approach
    • B. AGUIRRE, J. ALVAREZ-RAMÍREZ AND R. SUÁREZ, Symmetry breaking of periodic orbits in control systems: a harmonic balance approach, Internat. J. Bifur. Chaos 8 (12) (1998), 2439-2448.
    • (1998) Internat. J. Bifur. Chaos , vol.8 , Issue.12 , pp. 2439-2448
    • Aguirre, B.1    Alvarez-Ramírez, J.2    Suárez, R.3
  • 5
    • 0002456064 scopus 로고    scopus 로고
    • A harmonic balance approach for chaos prediction: Chua's circuit
    • R. GENESIO AND A. TESI, A harmonic balance approach for chaos prediction: Chua's circuit, Internat. J. Bifur. Chaos 2, 61-79.
    • Internat. J. Bifur. Chaos , vol.2 , pp. 61-79
    • Genesio, R.1    Tesi, A.2
  • 6
    • 0014581463 scopus 로고
    • In-the-large stability of relay and saturating control systems with linear controllers
    • A. T. FULLER, In-the-large stability of relay and saturating control systems with linear controllers, Internat. J. Control 10 (4) (1969), 457-480.
    • (1969) Internat. J. Control , vol.10 , Issue.4 , pp. 457-480
    • Fuller, A.T.1
  • 8
    • 0040644547 scopus 로고
    • Analytical properties of poincare halfmaps in a class of piecewise-linear dynamical systems
    • C. KAHLERT AND O.E. ROSSLER, Analytical properties of Poincare halfmaps in a class of piecewise-linear dynamical systems, Z. Naturforsch. 40a (1985), 1011-1025.
    • (1985) Z. Naturforsch. , vol.40 A , pp. 1011-1025
    • Kahlert, C.1    Rossler, O.E.2
  • 9
    • 0022717804 scopus 로고
    • Qualitative analysis oscillations in nonlinear control systems. A describing function approach
    • G. S. KRENZ & R. K. MILLER, Qualitative analysis oscillations in nonlinear control systems. A describing function approach, IEEE Trans. Circuits and Systems 33 (1986), 562-566.
    • (1986) IEEE Trans. Circuits and Systems , vol.33 , pp. 562-566
    • Krenz, G.S.1    Miller, R.K.2
  • 10
    • 0030109902 scopus 로고    scopus 로고
    • Global first harmonic bifurcation diagram for nonlinear control systems
    • J. LLIBRE AND E. PONCE, Global first harmonic bifurcation diagram for nonlinear control systems, Dynamics Stability Systems 11 (1996), 49-88.
    • (1996) Dynamics Stability Systems , vol.11 , pp. 49-88
    • Llibre, J.1    Ponce, E.2
  • 11
    • 0003211158 scopus 로고
    • The hopf bifurcation and its applications
    • Springer-Verlag, New York
    • J. MARSDEN AND M. MCCRACKEN, The Hopf bifurcation and its applications, 19, Applied Mathematical Sciences, Springer-Verlag, New York, 1976.
    • (1976) Applied Mathematical Sciences , vol.19
    • Marsden, J.1    Mccracken, M.2
  • 13
    • 21344496839 scopus 로고
    • Frequency domain approach to computation and analysis of bifurcations and limit cycles: A tutorial
    • J.L. MOIOLA & G. CHEN, Frequency domain approach to computation and analysis of bifurcations and limit cycles: A tutorial, Internat. J. Bifur. Chaos 3 (4) (1993), 843-867.
    • (1993) Internat. J. Bifur. Chaos , vol.3 , Issue.4 , pp. 843-867
    • Moiola, J.L.1    Chen, G.2
  • 14
    • 0345986591 scopus 로고    scopus 로고
    • First harmonic analysis of planar linear system with single saturated feedback
    • R. SUÁREZ, J. ALVAREZ-RAMÍREZ AND B. AGUIRRE, First harmonic analysis of planar linear system with single saturated feedback, Internat. J. Bifur. Chaos 6 (1996), 2605-2610.
    • (1996) Internat. J. Bifur. Chaos , vol.6 , pp. 2605-2610
    • Suárez, R.1    Alvarez-Ramírez, J.2    Aguirre, B.3
  • 15
    • 0004904513 scopus 로고
    • Regions of attraction of closed loop linear systems with saturated linear feedback
    • R. SUÁREZ, J. ALVAREZ-RAMÍREZ AND J. ALVAREZ, Regions of attraction of closed loop linear systems with saturated linear feedback, J. Math. Systems Estim. Control 5 (1995), 1-22; First version published in (1991) 1 223-228, Proc. Conf. Dec. Contr., Brighton, England.
    • (1995) J. Math. Systems Estim. Control , vol.5 , pp. 1-22
    • Suárez, R.1    Alvarez-Ramírez, J.2    Alvarez, J.3
  • 16
    • 0039459206 scopus 로고
    • First version published in
    • Brighton, England
    • R. SUÁREZ, J. ALVAREZ-RAMÍREZ AND J. ALVAREZ, Regions of attraction of closed loop linear systems with saturated linear feedback, J. Math. Systems Estim. Control 5 (1995), 1-22; First version published in (1991) 1 223-228, Proc. Conf. Dec. Contr., Brighton, England.
    • (1991) Proc. Conf. Dec. Contr. , vol.1 , pp. 223-228
  • 17
    • 0031237952 scopus 로고    scopus 로고
    • Linear systems with bounded inputs: Global stabilization with eigenvalue placement
    • R. SUÁREZ, J. ALVAREZ-RAMÍREZ AND J. SOLIS, Linear systems with bounded inputs: global stabilization with eigenvalue placement, Int. J. Robust Nonl. Control 7 (1997), 835-845.
    • (1997) Int. J. Robust Nonl. Control , vol.7 , pp. 835-845
    • Suárez, R.1    Alvarez-Ramírez, J.2    Solis, J.3
  • 18
    • 0142224090 scopus 로고
    • On the stability of multiple integrators by means of bounded feedback controls
    • Brighton, England
    • H. J. SUSSMAN AND Y. YANG, On the stability of multiple integrators by means of bounded feedback controls, Proc. Conf. Dec. Contr, Brighton, England, 1991.
    • (1991) Proc. Conf. Dec. Contr
    • Sussman, H.J.1    Yang, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.