Cascade High Gain Predictors for a Class of Nonlinear Systems

This work presents a set of cascade high gain predictors to reconstruct the vector state of triangular nonlinear systems with delayed output. By using a Lyapunov-Krasvoskii approach, simple sufficient conditions ensuring the exponential convergence of the observation error towards zero are given. All predictors used in the cascade have the same structure. This feature will greatly improve the easiness of their implementation. This result is illustrated by some simulations.

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

[2]  J. Shamma,et al.  Approximate set-valued observers for nonlinear systems , 1997, IEEE Trans. Autom. Control..

[3]  H. Shim,et al.  Semi-global observer for multi-output nonlinear systems , 2001 .

[4]  Françoise Lamnabhi-Lagarrigue,et al.  High gain observer design for nonlinear systems with time varying delayed measurements , 2011 .

[5]  Mohammed M'Saad,et al.  Cascade high gain observers for nonlinear systems with delayed output measurement , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[6]  Wilfrid Perruquetti,et al.  A Global High-Gain Finite-Time Observer , 2010, IEEE Transactions on Automatic Control.

[7]  Emilia Fridman,et al.  New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems , 2001, Syst. Control. Lett..

[8]  Hassan Hammouri,et al.  A high gain observer for a class of uniformly observable systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[9]  K. S. Smith,et al.  Time domain simulation of cycloconverter-fed variable speed AC drives with closed-loop control , 1994 .

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

[11]  O Smith,et al.  CLOSER CONTROL OF LOOPS WITH DEAD TIME , 1957 .

[12]  Mohammed M'Saad,et al.  Output Feedback Control for a Class of Nonlinear Delayed Systems , 2018 .

[13]  Jeff S. Shamma,et al.  Optimality of set-valued observers for linear systems , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[14]  G. Besançon,et al.  Asymptotic state prediction for continuous-time systems with delayed input and application to control , 2007, 2007 European Control Conference (ECC).

[15]  Alfredo Germani,et al.  A new approach to state observation of nonlinear systems with delayed output , 2002, IEEE Trans. Autom. Control..

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

[17]  Nikolaos Kazantzis,et al.  Nonlinear observer design in the presence of delayed output measurements , 2005, Syst. Control. Lett..