A new approach based on sliding control is presented for modeling and simulation of thermo-fluid systems described by differential-algebraic equations (DAEs). The dynamics of thermo-fluid systems are often complicated by momentum interactions that occur on a time scale that is orders of magnitude faster than the time scale of interest. To address this problem the momentum equation is often modeled using algebraic steady state approximations. This will, in general, result in a model described by nonlinear DAEs for which few control methods are currently applicable. In this paper, the modeling problem is addressed using an approach that systematically constructs an explicit state space approximation of the DAEs. The state space model can in turn be used with existing control methods. This procedure, known as realization, is achieved by solving an associated nonlinear control problem by combining boundary layer sliding control with the singular perturbation method. The necessary criteria for key properties such as convergence, stability, and controllability are established. Further, the new approach is illustrated using a vapor compression cycle example. This demonstrates significant advantages over directly modeling momentum interactions. [S0022-0434(00)00904-7]
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December 2000
Technical Papers
Modeling, Realization, and Simulation of Thermo-Fluid Systems Using Singularly Perturbed Sliding Manifolds
Brandon W. Gordon, Assistant Professor,,
Brandon W. Gordon, Assistant Professor,
Department of Mechanical Engineering, Concordia University, Montreal, H3G 1M8 Canada
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Harry Asada, Professor,
Harry Asada, Professor,
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139
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Brandon W. Gordon, Assistant Professor,
Department of Mechanical Engineering, Concordia University, Montreal, H3G 1M8 Canada
Harry Asada, Professor,
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139
Contributed by the Dynamic Systems and Control Division for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the Dynamic Systems and Control Division February 11, 2000. Associate Technical Editors: E. Misawa and V. Utkin.
J. Dyn. Sys., Meas., Control. Dec 2000, 122(4): 699-707 (9 pages)
Published Online: February 11, 2000
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Received:
February 11, 2000
Citation
Gordon, B. W., and Asada, H. (February 11, 2000). "Modeling, Realization, and Simulation of Thermo-Fluid Systems Using Singularly Perturbed Sliding Manifolds ." ASME. J. Dyn. Sys., Meas., Control. December 2000; 122(4): 699–707. https://doi.org/10.1115/1.1317230
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