Fast extremum seeking on Hammerstein plants: A model-based approach

Partial plant knowledge may be used to develop model-based extremum seekers; however, existing results rely on a type of time-scale separation which leads to slow optimization relative to the plant dynamics. In this work, a fast model-based extremum seeking scheme is proposed for a Hammerstein plant, and semi-global stability results are provided. The structure of a Hammerstein plant is used to advantage in designing filters that enable the extremum seeker to act on a faster time-scale than the plant dynamics. This leads to fast convergence while maintaining semi-global stability.

[1]  K. Narendra,et al.  Persistent excitation in adaptive systems , 1987 .

[2]  Kartik B. Ariyur,et al.  Real-Time Optimization by Extremum-Seeking Control , 2003 .

[3]  Jan Sternby,et al.  Extremum control systems¿An area for adaptive control? , 1980 .

[4]  Chris Manzie,et al.  Fast model-based extremum seeking on Hammerstein plants , 2013, 52nd IEEE Conference on Decision and Control.

[5]  Chris Manzie,et al.  Fast extremum-seeking for Wiener-Hammerstein plants , 2012, at - Automatisierungstechnik.

[6]  Milos S. Stankovic,et al.  Extremum seeking under stochastic noise and applications to mobile sensors , 2010, Autom..

[7]  Mario A. Rotea,et al.  Analysis of multivariable extremum seeking algorithms , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[8]  Ümit Özgüner,et al.  Extremum seeking with sliding mode gradient estimation and asymptotic regulation for a class of nonlinear systems , 2011, Autom..

[9]  Chunlei Zhang,et al.  Numerical Optimization-Based Extremum Seeking Control With Application to ABS Design , 2007, IEEE Transactions on Automatic Control.

[10]  Miroslav Krstic,et al.  Multivariable Newton-based extremum seeking , 2011, IEEE Conference on Decision and Control and European Control Conference.

[11]  Sergey V. Drakunov,et al.  ABS control using optimum search via sliding modes , 1995, IEEE Trans. Control. Syst. Technol..

[12]  Chan Gook Park,et al.  Peak-Seeking Control for Drag Reduction in Formation Flight , 2006 .

[13]  Miroslav Krstic,et al.  Performance improvement and limitations in extremum seeking control , 2000 .

[14]  Miroslav Krstic,et al.  An adaptive algorithm for control of combustion instability , 2004, Autom..

[15]  I. Mareels,et al.  Extremum seeking from 1922 to 2010 , 2010, Proceedings of the 29th Chinese Control Conference.

[16]  Azad Ghaffari,et al.  Multivariable Newton-based extremum seeking , 2012, Autom..

[17]  Tankut Acarman,et al.  Stability and performance improvement of extremum seeking control with sliding mode , 2003 .

[18]  Petros A. Ioannou,et al.  Adaptive control tutorial , 2006, Advances in design and control.

[19]  Ying Tan,et al.  A unifying approach to extremum seeking: Adaptive schemes based on estimation of derivatives , 2010, 49th IEEE Conference on Decision and Control (CDC).

[20]  Stanley H. Johnson,et al.  Use of Hammerstein Models in Identification of Nonlinear Systems , 1991 .

[21]  Chris Manzie,et al.  Semi-Global Stability Analysis of Observer-Based Extremum-Seeking for Hammerstein Plants , 2012, IEEE Transactions on Automatic Control.

[22]  G. C. Walsh,et al.  On the application of multi-parameter extremum seeking control , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[23]  Ying Tan,et al.  A unifying framework for analysis and design of extremum seeking controllers , 2012, 2012 24th Chinese Control and Decision Conference (CCDC).

[24]  A. Teel,et al.  Solving smooth and nonsmooth multivariable extremum seeking problems by the methods of nonlinear programming , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[25]  Chris Manzie,et al.  A Framework for Extremum Seeking Control of Systems With Parameter Uncertainties , 2013, IEEE Transactions on Automatic Control.

[26]  Chris Manzie,et al.  Extremum Seeking With Stochastic Perturbations , 2009, IEEE Transactions on Automatic Control.

[27]  Miroslav Krstic,et al.  Stability of extremum seeking feedback for general nonlinear dynamic systems , 2000, Autom..

[28]  Ying Tan,et al.  On non-local stability properties of extremum seeking control , 2006, Autom..

[29]  P. E. Wellstead,et al.  Self-tuning extremum control , 1990 .

[30]  M. Guay,et al.  ADAPTIVE EXTREMUM SEEKING CONTROL OF NONLINEAR DYNAMIC SYSTEMS WITH PARAMETRIC UNCERTAINTIES , 2002 .

[31]  Milos S. Stankovic,et al.  A Lie Bracket Approximation for Extremum Seeking Vehicles , 2011 .

[32]  Chris Manzie,et al.  Newton-Like Extremum-Seeking for the Control of Thermoacoustic Instability , 2010, IEEE Transactions on Automatic Control.