Passivity-based Input Observer

Abstract A passivity-based input observer is proposed. The problem is motivated by reaction rate and heat estimation in control of chemical reaction systems. The input observer assumes measurement of the output, and its first order time derivative. The observer gives asymptotically converging estimation when both are accurately available, the so-called ideal case. In the nonideal case, where the derivative is not available, differentiators can be used to reconstruct the derivative with some error. Simulation results show performance results using a deadbeat differentiator for derivative reconstruction.

[1]  Denis Dochain,et al.  Review and classification of recent observers applied in chemical process systems , 2015, Comput. Chem. Eng..

[2]  Johann Reger,et al.  On algebraic time-derivative estimation and deadbeat state reconstruction , 2007, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[3]  H.A. Preisig.  The Use of Differential Information for Batch Reactor Control , 1988, 1988 American Control Conference.

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

[5]  M. Fliess,et al.  A revised look at numerical differentiation with an application to nonlinear feedback control , 2007, 2007 Mediterranean Conference on Control & Automation.

[6]  Ricardo Aguilar-López,et al.  Integral observers for uncertainty estimation in continuous chemical reactors: algebraic-differential approach , 2003 .

[7]  P. A. Baedecker,et al.  Comments on least-squares polynomial filters for initial point and slope estimation , 1985 .

[8]  B. Ydstie,et al.  Reaction variants and invariants based observer and controller design for CSTRs , 2016 .

[9]  Heinz A. Preisig,et al.  Theory and application of the modulating function method—III. application to industrial process, a well-stirred tank reactor , 1993 .

[10]  Hans Schuler,et al.  Calorimetric-state estimators for chemical reactor diagnosis and control: review of methods and applications , 1992 .

[11]  Heinz A. Preisig,et al.  Theory and application of the modulating function method—I. Review and theory of the method and theory of the spline-type modulating functions , 1993 .

[12]  Masoud Soroush,et al.  Parameter Estimator Design with Application to a Chemical Reactor , 1998 .

[13]  B. E. Ydstie,et al.  System identification using modulating functions and fast fourier transforms , 1990 .

[14]  Young-Jin Park,et al.  Closed-loop state and input observer for systems with unknown inputs , 1988 .

[15]  M. Tahk,et al.  Generalized input-estimation technique for tracking maneuvering targets , 1999 .

[16]  Rafael Martínez-Guerra,et al.  Reaction heat estimation in continuous chemical reactors using high gain observers , 2002 .

[17]  Martin J. Corless,et al.  State and Input Estimation for a Class of Uncertain Systems , 1998, Autom..

[18]  A. Levant.  Robust exact differentiation via sliding mode technique , 1998 .