Finite-time convergent observer design and adaptive control of a nonlinear boiler system

In this paper, based on recently developed finite-time convergent observer designs with time-varying coefficients, an observer is first designed to yield the explicit values of unknown parameters of a nonlinear boiler system. Then an adaptive controller is designed to regulate the states of the boiler system. Compared to existing results, the contribution of the paper is two-fold: (i) the new approach is able to handle the case when all parameters are unknown; (ii) faster convergence rates can be achieved to identify the unknown parameters and regulate the boiler system. Computer simulations are conducted to show the effectiveness of the proposed adaptive control schemes.

[1]  Shizhong Yang Advanced controls of highly nonlinear systems for stability and performance with applications to power plant systems , 2010 .

[2]  Chunjiang Qian,et al.  A genuine nonlinear approach for controller design of a boiler-turbine system. , 2012, ISA transactions.

[3]  Chunjiang Qian,et al.  Adaptive controller design for a nonlinear drum-boiler turbine system , 2008, 2008 IEEE International Conference on Control Applications.

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

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

[6]  V. Haimo Finite time controllers , 1986 .

[7]  Yu Daren,et al.  Nonlinear coordinated control of drum boiler power unit based on feedback linearization , 2005, IEEE Transactions on Energy Conversion.

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

[9]  Shihua Li,et al.  Recursive design of finite-time convergent observers for a class of time-varying nonlinear systems , 2013, Autom..

[10]  Chunjiang Qian,et al.  A homogeneous domination approach for global output feedback stabilization of a class of nonlinear systems , 2005, Proceedings of the 2005, American Control Conference, 2005..

[11]  Chunjiang Qian,et al.  Nonlinear adaptive control based on parameter identification for a boiler system , 2010 .

[12]  X. Xia,et al.  Semi-global finite-time observers for nonlinear systems , 2008, Autom..

[13]  Karl Johan Åström,et al.  Drum-boiler dynamics , 2000, Autom..

[14]  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.

[15]  Wilfrid Perruquetti,et al.  Finite-Time Observers: Application to Secure Communication , 2008, IEEE Transactions on Automatic Control.

[16]  Wei Lin,et al.  Global finite-time stabilization of a class of uncertain nonlinear systems , 2005, Autom..

[17]  Wei Lin,et al.  A continuous feedback approach to global strong stabilization of nonlinear systems , 2001, IEEE Trans. Autom. Control..

[18]  Wei Lin,et al.  Adding one power integrator: a tool for global stabilization of high-order lower-triangular systems , 2000 .

[19]  Yuehua Huang,et al.  Uniformly Observable and Globally Lipschitzian Nonlinear Systems Admit Global Finite-Time Observers , 2009, IEEE Transactions on Automatic Control.

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

[21]  Shihua Li,et al.  Global finite-time stabilization of a PVTOL aircraft by output feedback , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[22]  Xu Zhiqiang,et al.  Nonlinear coordinated control of drum boiler power unit based on feedback linearization , 2005 .

[23]  C. Qian,et al.  A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback , 2007 .

[24]  Moon,et al.  A Boiler-Thrbine System Control Using a Fuzzy Auto-Regressive Moving Average (FARMA) Model , 1989 .

[25]  Shihua Li,et al.  Finite-time output feedback stabilization and control for a quadrotor mini-aircraft , 2012, Kybernetika.

[26]  Girijesh Prasad,et al.  A neural net model-based multivariable long-range predictive control strategy applied in thermal power plant control , 1997 .