High-Gain Observers in Feedback Control: Application to Permanent Magnet Synchronous Motors

High-gain observers play an important role in the design of feedback control for nonlinear systems. This article overviews the essentials of this technique, starting with motivating examples that illustrate the main features of highgain observers, with emphasis on the peaking phenomenon and the role of control saturation in dealing with it. The observer design for single-output and multi-output systems is presented along with the use of the observer in feedback control. A nonlinear separation principle is discussed, and the use of an extended high-gain observer as a disturbance estimator is covered. The most serious challenge in implementing high-gain observers is the effect of measurement noise, which is covered next. The article ends by presenting an experimental application of the extended high-gain observer to speed control of a permanent magnet synchronous motor (PMSM).

[1]  J. Gauthier,et al.  A simple observer for nonlinear systems applications to bioreactors , 1992 .

[2]  Murat Arcak,et al.  Observer design for systems with multivariable monotone nonlinearities , 2003, Syst. Control. Lett..

[3]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..

[4]  L. Marconi,et al.  A High-Gain Nonlinear Observer With Limited Gain Power , 2015, IEEE Transactions on Automatic Control.

[5]  Peter C. Müller,et al.  A Simple Nonlinear Observer for a Class of Uncertain Mechanical Systems , 2007, IEEE Transactions on Automatic Control.

[6]  Manfredi Maggiore,et al.  A separation principle for a class of non-UCO systems , 2003, IEEE Trans. Autom. Control..

[7]  H. Khalil,et al.  High-Gain Observers in the Presence of Measurement Noise: A Switched-Gain Approach , 2008 .

[8]  Riccardo Marino,et al.  Nonlinear control design , 1995 .

[9]  Alexander P. Krishchenko,et al.  Stabilization of Nonlinear Dynamic Systems Using the System State Estimates Made by the Asymptotic Observer , 2005 .

[10]  Behçet Açikmese,et al.  Observers for systems with nonlinearities satisfying incremental quadratic constraints , 2011, Autom..

[11]  Murat Arcak,et al.  Certainty-equivalence output-feedback design with circle-criterion observers , 2005, IEEE Transactions on Automatic Control.

[12]  Hassan K. Khalil,et al.  Analysis of the use of low-pass filters with high-gain observers , 2016 .

[13]  A. Saberi,et al.  High‐gain observer design for multi‐output systems: Transformation to a canonical form by dynamic output shaping , 2014 .

[14]  Hassan K. Khalil,et al.  High-gain observers in nonlinear feedback control , 2009, 2009 IEEE International Conference on Control and Automation.

[15]  Ricardo G. Sanfelice,et al.  On the performance of high-gain observers with gain adaptation under measurement noise , 2011, Autom..

[16]  Manfredi Maggiore,et al.  A Separation Principle for Non-UCO Systems , 2002 .

[17]  Alberto Isidori,et al.  Output feedback stabilization of nonlinear MIMO systems having uncertain high-frequency gain matrix , 2015, Syst. Control. Lett..

[18]  Petar V. Kokotovic,et al.  Nonlinear observers: a circle criterion design and robustness analysis , 2001, Autom..

[19]  Wang Zicai.  Observer Design for a Class of Nonlinear Systems , 1998 .

[20]  Antonio Loría,et al.  A separation principle for dynamic positioning of ships: theoretical and experimental results , 2000, IEEE Trans. Control. Syst. Technol..

[21]  Elena Panteley,et al.  A separation principle for a class of euler-lagrange systems , 1999 .

[22]  Jun Yang,et al.  Disturbance Observer-Based Control: Methods and Applications , 2014 .

[23]  Hassan K. Khalil,et al.  A Nonlinear High-Gain Observer for Systems With Measurement Noise in a Feedback Control Framework , 2013, IEEE Transactions on Automatic Control.

[24]  H. Khalil,et al.  A separation principle for the stabilization of a class of nonlinear systems , 1997 .

[25]  J. Gauthier,et al.  Erratum Observability and Observers for Nonlinear Systems , 1995 .

[26]  John Chiasson,et al.  Modeling and High Performance Control of Electric Machines , 2005 .

[27]  Hassan K. Khalil,et al.  Performance Recovery of Feedback-Linearization-Based Designs , 2008, IEEE Transactions on Automatic Control.

[28]  Hassan K. Khalil,et al.  Speed control of Permanent Magnet Synchronous Motor using extended high-gain observer , 2016, 2016 American Control Conference (ACC).

[29]  Huibert Kwakernaak,et al.  Linear Optimal Control Systems , 1972 .

[30]  Vincent Andrieu,et al.  A unifying point of view on output feedback designs for global asymptotic stabilization , 2009, Autom..

[31]  Zhiqiang Gao,et al.  Active disturbance rejection control: a paradigm shift in feedback control system design , 2006, 2006 American Control Conference.

[32]  A. Teel,et al.  Global stabilizability and observability imply semi-global stabilizability by output feedback , 1994 .

[33]  R. Rajamani.  Observers for Lipschitz nonlinear systems , 1998, IEEE Trans. Autom. Control..

[34]  Arthur J. Krener,et al.  Linearization by output injection and nonlinear observers , 1983 .

[35]  Bruno Siciliano,et al.  Modeling and Control of Robot Manipulators , 1995 .