Soft sensor applications of RK-based nonlinear observers and experimental comparisons

AbstractSoft sensing technology has still important industrial applications especially for chemical reactors, robotic applications, etc. Therefore, this paper introduces and applies novel Runge-Kutta (RK) discretization-based nonlinear observers for real-time sensing applications of unmeasurable quantities. The contribution of the paper is twofold. First, for reliability and accuracy, the stability of the RK based observers are proven. Second, they have been compared with well-known extended-Luenberger observer, extended-Kalman filter and sliding-mode observer on an experimental system. Experiments have shown that the RK model-based observers have a considerable place among conventional ones with respect to design issues and estimation performance for future soft sensing applications.

[1]  D. Wilson,et al.  Experiences implementing the extended Kalman filter on an industrial batch reactor , 1998 .

[2]  Leonid M. Fridman,et al.  Second-order sliding-mode observer for mechanical systems , 2005, IEEE Transactions on Automatic Control.

[3]  Meric Cetin,et al.  A novel auto-tuning PID control mechanism for nonlinear systems. , 2015, ISA transactions.

[4]  V. Utkin.  Variable structure systems with sliding modes , 1977 .

[5]  Jie Chen,et al.  Design of unknown input observers and robust fault detection filters , 1996 .

[6]  S. Drakunov.  Adaptive quasioptimal filter with discontinuous parameters , 1984 .

[7]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[8]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[9]  H.O. Wang,et al.  Fuzzy regulators and fuzzy observers: a linear matrix inequality approach , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[10]  Sarah K. Spurgeon,et al.  Sliding mode observers: a survey , 2008, Int. J. Syst. Sci..

[11]  Malek Ghanes,et al.  On Sensorless Induction Motor Drives: Sliding-Mode Observer and Output Feedback Controller , 2009, IEEE Transactions on Industrial Electronics.

[12]  H. Khalil,et al.  Output feedback stabilization of fully linearizable systems , 1992 .

[13]  Selami Beyhan,et al.  Runge-Kutta model-based nonlinear observer for synchronization and control of chaotic systems. , 2013, ISA transactions.

[14]  P. Bauer,et al.  A necessary and sufficient condition for robust asymptotic stability of time-variant discrete systems , 1993, IEEE Trans. Autom. Control..

[15]  Konrad Reif,et al.  The extended Kalman filter as an exponential observer for nonlinear systems , 1999, IEEE Trans. Signal Process..

[16]  Manabu Kano,et al.  Two-stage subspace identification for softsensor design and disturbance estimation , 2009 .

[17]  Krishna Vijayaraghavan,et al.  Nonlinear observer for simultaneous states and unknown parameter estimation , 2013, Int. J. Control.

[18]  M. Zeitz.  The extended Luenberger observer for nonlinear systems , 1987 .

[19]  Matthew W. Dunnigan,et al.  Comparative study of a sliding-mode observer and Kalman filters for full state estimation in an induction machine , 2002 .

[20]  Muhammed Fazlur Rahman,et al.  Comparison of a Sliding Observer and a Kalman Filter for Direct-Torque-Controlled IPM Synchronous Motor Drives , 2012, IEEE Transactions on Industrial Electronics.

[21]  Salim Ibrir,et al.  On observer design for nonlinear systems , 2006, Int. J. Syst. Sci..

[22]  Paul M.J. Van den Hof,et al.  A comparison of nonlinear observers for output feedback model-based control of seeded batch crystallization processes , 2011 .

[23]  Serdar Iplikci,et al.  Runge–Kutta model-based adaptive predictive control mechanism for non-linear processes , 2013 .

[24]  D. Luenberger.  Observing the State of a Linear System , 1964, IEEE Transactions on Military Electronics.

[25]  Henry Cox,et al.  On the estimation of state variables and parameters for noisy dynamic systems , 1964 .

[26]  Yeng Chai Soh,et al.  Robust discrete‐time nonlinear sliding mode state estimation of uncertain nonlinear systems , 2007 .