Nonlinear observer design for a solar thermal water heater system

A nonlinear observer is constructed to observe the two unobservable states of the solar thermal system from the heat exchanger. At first, we discuss the observability of the model and four cases are discussed based on the variation of the model parameters. Then, we design full-order observer when the system is observable. Especially, we design a finite-time observer for one case. At last, a simulation is created for the solar thermal system model. The result is that the unobservable states of the solar thermal system can be estimated fairly closely to the model data by using the nonlinear observer.

[1]  S. Żak Systems and control , 2002 .

[2]  Luis A. Medinelli Sanino,et al.  Modeling and identification of solar energy water heating system incorporating nonlinearities , 2007 .

[3]  Ji Li,et al.  Global finite-time stabilization by output feedback for planar systems without observable linearization , 2005, IEEE Transactions on Automatic Control.

[4]  Richárd Kicsiny,et al.  Real-time nonlinear global state observer design for solar heating systems , 2013 .

[5]  I. Farkas,et al.  SOLAR DOMESTIC HOT WATER SYSTEM SIMULATION USING BLOCK-ORIENTED SOFTWARE , 2000 .

[6]  Shihua Li,et al.  Output feedback finite-time control for a bioreactor system based on a finite-time stable observer , 2012 .

[7]  Richárd Kicsiny,et al.  Real-time state observer design for solar thermal heating systems , 2012, Appl. Math. Comput..

[8]  Nicholas Warner Dynamic Modeling And Control Of A Residential Solar Thermal Electrical Generator With Cogeneration , 2011 .

[9]  S. Bhat,et al.  Continuous finite-time stabilization of the translational and rotational double integrators , 1998, IEEE Trans. Autom. Control..

[10]  Jie Huang,et al.  On an output feedback finite-time stabilization problem , 2001, IEEE Trans. Autom. Control..

[11]  Chunjiang Qian,et al.  Global finite-time stabilization by dynamic output feedback for a class of continuous nonlinear systems , 2006, IEEE Transactions on Automatic Control.

[12]  S. Bhat,et al.  Finite-time stability of homogeneous systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[13]  Dennis S. Bernstein,et al.  Geometric homogeneity with applications to finite-time stability , 2005, Math. Control. Signals Syst..

[14]  Chunjiang Qian,et al.  A semi-global finite-time convergent observer for a class of nonlinear systems with bounded trajectories , 2012 .