Input to state set stability for pulse width modulated control systems with disturbances

Systems and Control Letters

Volumn 51, Issue 1, 2004, Pages 23-32

  Teel, A R ^a   Moreau, L ^b   Nesic D ^c  

^a University of California   (United States)

^b GHENT UNIVERSITY   (Belgium)

^c UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Averaging theory; Power converters; Power electronics; Pulse width modulation; Set valued systems theory; Stability theory

Indexed keywords

CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; POWER CONVERTERS; POWER ELECTRONICS;

TIME SCALE STABILITY;

PULSE WIDTH MODULATION;

EID: 0242659946     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(03)00192-0     Document Type: Article

References (13)

1. Aubin J.P., Frankowska H. Set-valued Analysis. 1990;Birkhauser, Boston.
2. R.M. Bass, P.T. Krein, Large-signal design alternatives for switching power converter control, in: IEEE Power Electronics Specialists Conference Record, June 1991, pp. 882-887.
3. Clarke F.H., Ledyaev Yu.S., Stern R.J., Wolenski P.R. Nonsmooth Analysis and Control Theory. 1998;Springer, Berlin.
4. Filippov A.F. Differential Equations with Discontinuous Righthand Sides. 1988;Kluwer Academic Publishers, Dordrecht.
5. Hajek O. Discontinuous differential equations, I. J. Differential Equations. 32:1979;149-170.
6. Krein P.T., Bentsman J., Bass R.M., Lesieutre B.L. On the use of averaging for the analysis of power electronic systems. IEEE Trans. Power Electron. 5(2):1990;182-190.
7. Lehman B., Bass R.M. Switching frequency dependent averaged models for PWM DC-DC converters. IEEE Trans. Power Electron. 11(4):1996;89-98.
8. Lehman B., Bass R.M. Extensions of averaging theory for power electronic systems. IEEE Trans. Power Electron. 11(4):1996;542-553.
9. Nešić D., Teel A.R. Input-to-state stability for nonlinear time-varying systems via averaging. Math. Control Signal Systems. 14:2001;257-280.
10. Sontag E.D. Smooth stabilization implies coprime factorization. IEEE Trans. Automat. Control. 34(4):1989;435-443.
11. Taylor D.G. Pulse width modulated control of electromechanical systems. IEEE Trans. Automat. Control. 37(4):1992;524-528.
12. Teel A.R., Moreau L., Nešić D. A unified framework for input-to-state stability in systems with two time scales. IEEE Trans. Automat. Control. 48(9):2003;1526-1544.
13. Teel A.R., Praly L. A smooth Lyapunov function from a class. script K sign; ℒ estimate involving two positive semidefinite functions ESAIM: Control Optim. Calc. Var. 5:2000;313-367.