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TECHNICAL PAPERS

Modeling, Realization, and Simulation of Thermo-Fluid Systems Using Singularly Perturbed Sliding Manifolds

[+] Author and Article Information
Brandon W. Gordon

Department of Mechanical Engineering, Concordia University, Montreal, H3G 1M8 Canadaemail: bwgordon@me.concordia.ca

Harry Asada

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139e-mail: asada@mit.edu

J. Dyn. Sys., Meas., Control 122(4), 699-707 (Feb 11, 2000) (9 pages) doi:10.1115/1.1317230 History: Received February 11, 2000
Copyright © 2000 by ASME
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References

Kokotovic, P., Khalil, H. K., and O’Reilly, J., 1986, Singular Perturbation Methods in Control: Analysis and Design, Academic Press, New York.
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Gordon,  B. W., and Liu,  S., 1998, “A Singular Perturbation Approach for Modeling Differential-Algebraic Systems,” ASME J. Dyn. Syst., Meas., Control, 120, pp. 541–545.
Brenan, K., Campbell, S., and Petzold, L., 1989, Numerical Solution of Initial Value Problems in Differential-Algebraic Equations, North-Holland, Amsterdam.
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Gordon, B. W., 1999, “State Space Modeling of Differential-Algebraic Systems Using Singularly Perturbed Sliding Manifolds,” Ph.D. thesis, MIT, Mechanical Engineering Dept., Cambridge.
Slotine, J. E., and Li, W., 1991, Applied Nonlinear Control, Prentice Hall, Englewood Cliffs, NJ.
Campbell,  S. L., 1995, “High-Index Differential Algebraic Equations,” Mech. Struct. and Mach., 23, No. 2, pp. 199–222.
Kumar, A., and Daoutidis, P., 1999, Control of Nonlinear Differential-Algebraic-Equation Systems with Applications to Chemical Processes, Chapman & Hall/CRC, Research Notes in Mathematics Series.
McClamroch,  N. H., 1990, “Feedback Stabilization of Control Systems Described by A Class of Nonlinear Differential Algebraic Equations,” Syst. Control Lett., 15, p. 53.
Isidori, A., 1989, Nonlinear Control Systems, 2nd ed., Springer-Verlag, New York.
Khalil, H. K., 1992, Nonlinear Systems, Macmillan, New York.
Utkin, V. I., 1992, Sliding Modes in Control and Optimization, Springer-Verlag, New York.
Vidyasagar, M., 1978, Nonlinear Systems Analysis, Prentice Hall, Englewood Cliffs, NJ.

Figures

Grahic Jump Location
Vapor compression cycle heat pump
Grahic Jump Location
Increased stiffness response
Grahic Jump Location
Block diagram of DAE realization approach
Grahic Jump Location
SPSM root locus for μ=0.1,0.01<ε<2

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