First harmonic analysis of linear control systems with high-gain saturating feedback

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 7, Issue 11, 1997, Pages 2501-2510

  Aguirre, Baltazar ^a   Alvarez Ramírez, José ^a   Fernández, Guillermo ^a   Suárez, Rodolfo ^a  

^a UNIVERSIDAD AUTÓNOMA METROPOLITANA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031279822     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127497001679     Document Type: Article

References (13)

1. Barnett, S. & Cameron, R. G. [1985] Introduction to Mathematical Control Theory (Clarendon Press, Oxford).
2. Bhattacharayya, S. P., Chapellat, H. & Keel, L. H. [1995] Robust Control. The Parametric Approach (Prentice-Hall, Upper Saddle River, NJ).
3. Fuller, A. T. [1969] "In the large stability of relay and saturating control systems with linear controllers," Int. J. Control 10, 165-187.
4. Genesio, R. & Tesi, A. [1992] "A harmonic balance approach for chaos prediction: Chua's circuit," Int. J. Bifurcation and Chaos 2, 61-79.
5. Kokotovic, P. V. & Marino, R. [1986] "On vanishing stability regions in nonlinear systems with high-gain feedback," IEEE Trans. Autom. Contr. AC-31, 967-970.
6. Krenzand, G. S. & Miller, R. K. [1986] "Qualitative analysis oscillations in nonlinear control systems. A describing function approach," IEEE Trans. Circuits Syst. CAS-33, 562-566.
7. Llibre, J. & Ponce, E. [1996] "Global first harmonic bifurcation diagram for nonlinear control systems," Dynam. Stability Syst. 11, 49-88.
8. Mees, A. I. [1981] Dynamics of Feedback Systems (John Wiley & Sons, New York).
9. Moiola, J. L., Desages, A. & Romagnoli, J. [1991] "Degenerate Hopf bifurcations via feedback system theory: Higher-order harmonic balance," Chem. Eng. Sci. 46, 1475-1490.
10. Moiola, J. L. & Chen, G. [1993] "Computations of limit cycles via higher-order harmonic balance approximation", IEEE Trans. Autom. Contr. 38, 782-790.
11. Moiola, J. L. & Chen, G. [1996] Hopf Bifurcation Analysis: A Frequency Domain Approach (World Scientific Pub. Co., Singapore).
12. Morari, M. & Zafiriou, E. [1989] Robust Process Control (Prentice-Hall, Englewood Cliffs, N.J.).
13. Suarez, R., Alvarez-Ramirez, J. & Aguirre, B. [1996] "First harmonic analysis of planar linear systems with single saturated feedback," Int. J. Bifurcation and Chaos 6(12B), 2605-2610.