State space modeling of differential-algebraic systems using singularly perturbed sliding manifolds

American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC

Volumn 67, Issue , 1999, Pages 537-544

  Gordon, Brandon W ^a   Liu, Sheng ^a   Asada, Haruhiko H ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONSTRAINT THEORY; DIFFERENTIAL EQUATIONS; HEAT EXCHANGERS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; STATE SPACE METHODS; TWO PHASE FLOW;

DIFFERENTIAL AND ALGEBRAIC EQUATIONS; SLIDING MANIFOLDS;

NONLINEAR CONTROL SYSTEMS;

EID: 0033299025     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (13)

1. Brenan, K., Campbell, S. and L. Petzold, "Numerical Solution of Initial Value Problems in Differential-Algebraic Equations", North-Holland, Amsterdam, 1989.
2. Campbell, S.L., "High-Index Differential Algebraic Equations", Mech. Struct. and Mach., 23(2), pp. 199-222, 1995.
3. Gordon, B.W., and Liu S., "A Singular Perturbation Approach for Modeling Differential-Algebraic Systems", ASME Journal of Dynamic Systems, Measurement, and Control, December 1998.
4. Gordon, B.W., Liu S., and Asada, H., "Dynamic Modeling of Multiple-zone Vapor Compression Cycles using Variable Order Representations", Proc. of 1999 Amer. Contr. Conf., FM11-2.
5. He, X., Liu, S., and Asada, H., "Modeling of Vapor Compression Cycles for Multivariable Feedback Control of HVAC Systems", ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 119, pp. 183-191, 1997.
6. Karnopp, D. and D. Margolis, "Analysis and Simulation of Planar Mechanism Systems Using Bond Graphs", ASME Journal of Mechanical Design, Vol. 101, Apr., 1979.
7. Khalil, H.K., "Nonlinear Systems", Macmillian, 1992.
8. Kokotovic, P., Khalil, H.K. and J. O' Reilly, "Singular Perturbation Methods in Control: Analysis and Design", Academic Press, 1986.
9. Kumar, A. and P. Daoutidis, "Regularization and Control of Nonlinear Differential Algebraic Process Systems", Proc. of 1995 Amer. Contr. Conf., 2215, 1995.
10. McClamroch, N. H., "Feedback Stabilization of Control Systems Described by A Class of Nonlinear Differential Algebraic Equations", Syst. and Contr. Lett., 15, 53, 1990.
11. Rosenberg, R. C., "Exploiting bond graph causality in physical system models", ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 109, pp. 378-383, 1987.
12. Slotine, J.E. and W. Li, "Applied Nonlinear Control", Prentice-Hall, 1991.
13. Zeid, A.A. and J.L. Overholt, "Singularly Perturbed Bond Graph Models for Simulation of Multibody Systems", ASME Journal of Dynamic Systems, Measurement and Control, Vol. 117, pp. 401-410, 1995.