Passivity analysis of uncertain singularly perturbed systems

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 57, Issue 6, 2010, Pages 486-490

  Gao, Yanbo ^a,b   Lu, Guoping ^a,b   Wang, Zhiming ^a  

^a EAST CHINA NORMAL UNIVERSITY   (China)

^b NANTONG UNIVERSITY   (China)

Author keywords

Asymptotic stability; linear matrix inequalities (LMIs); passivity; singularly perturbed systems

Indexed keywords

ASYMPTOTIC STABILITY; SYSTEM STABILITY;

LYAPUNOV STABILITY THEORY; PASSIVITY; PASSIVITY ANALYSIS; SINGULAR SYSTEM APPROACHES; SINGULARLY PERTURBED SYSTEMS;

LINEAR MATRIX INEQUALITIES;

EID: 77953723095     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2010.2048378     Document Type: Article

References (11)

1. A. A. Bobtsov and N. A. Nikolaev, "Output control of linear systems with unmodeled dynamics," Autom. Remote Control, vol.70, no.6, pp. 1019- 1025, Jun. 2009.
2. S. Boyd, L. E. L. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
3. G. Calcev, R. Goret, and V. Wertz, "Passivity and fuzzy control of singularly perturbed systems," in Proc. 38th Conf. Decision Control, Phoenix, AZ, Dec. 1999, pp. 4364-4365.
4. S. J. Chen and J. L. Lin, "Maximal stability bounds of singularly perturbed systems," J. Franklin Inst., vol.336, no.8, pp. 1209-1218, Nov. 1999.
5. M. G. Dmitriev and G. A. Kurina, "Singular perturbations in control problems," Autom. Remote Control, vol.67, no.1, pp. 1-43, Jan. 2006.
6. A. L. Fradkov, I. V. Miroshnik, and V. O. Nikiforov, Nonlinear and Adaptive Control of Complex Systems. Dordrecht, The Netherlands: Kluwer, 1999.
7. A. I. Klimushchev and N. N. Krasovskii, "Uniform asymptotic stability of systems of differential equations with a small parameter in the derivative terms," J. Appl. Math. Mech., vol.25, no.4, pp. 1011-1025, 1961.
8. P. V. Kokotovic, H. K. Khalil, and J. O'Reilly, Singular Perturbation Methods in Control: Analysis and Design. New York: Academic, 1986.
9. K.-J. Lin and T.-H. S. Li, "Stabilization of uncertain singularly perturbed systems with pole-placement constraints," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol.53, no.9, pp. 916-920, Sep. 2006.
10. R. Sepulchre, M. Jankovic, and P. V. Kokotovic, Constructive Nonlinear Control. Berlin, Germany: Springer-Verlag, 1997.
11. Z. H. Shao, "Robust stability of two-time-scale systems with nonlinear uncertainties," IEEE Trans. Autom. Control, vol.49, no.2, pp. 258-261, Feb. 2004.