A new approach to state observation of nonlinear systems with delayed output

The article presents a new approach for the construction of a state observer for nonlinear systems when the output measurements are available for computations after a nonnegligible time delay. The proposed observer consists of a chain of observation algorithms reconstructing the system state at different delayed time instants (chain observer). Conditions are given for ensuring global exponential convergence to zero of the observation error for any given delay in the measurements. The implementation of the observer is simple and computer simulations demonstrate its effectiveness.

[1]  David W. Clarke,et al.  Generalized predictive control - Part I. The basic algorithm , 1987, Autom..

[2]  G. Rose,et al.  Estimating travel time functions for urban roads: options and issues , 1989 .

[3]  A. Nagurney,et al.  ON SOME TRAFFIC EQUILIBRIUM THEORY PARADOXES , 1984 .

[4]  Hisao Kameda,et al.  ANOMALOUS RELATIONS AMONG VARIOUS PERFORMANCE OBJECTIVES IN DISTRIBUTED COMPUTER SYSTEMS 1 , 1997 .

[5]  Masami Ito,et al.  A process-model control for linear systems with delay , 1981 .

[6]  Etsujiro Shimemura,et al.  Predictive control for systems with time delay , 1983 .

[7]  Marko Bacic,et al.  Model predictive control , 2003 .

[8]  Ariel Orda,et al.  Architecting noncooperative networks , 1995, Eighteenth Convention of Electrical and Electronics Engineers in Israel.

[9]  David W. Clarke,et al.  Generalized Predictive Control - Part II Extensions and interpretations , 1987, Autom..

[10]  Eitan Altman,et al.  Braess-like paradoxes of nash equilibria for load balancing in distributed computer systems , 1998 .

[11]  J. P. Gauteier G. BORNlrRD.  OBSERVABILITY FOR ANY u(t) OF A CLASS OF NONLINEAR SYSTEMS , 1980 .

[12]  Alfredo Germani,et al.  State observation of nonlinear systems with delayed output measurements , 2000 .

[13]  Edward S. Meadows,et al.  Dynamic programming and model predictive control , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[14]  Alain Haurie,et al.  On the relationship between Nash - Cournot and Wardrop equilibria , 1983, Networks.

[15]  Alfredo Germani,et al.  Design of state observers from a drift-observability property , 2000, IEEE Trans. Autom. Control..

[16]  David E. Boyce,et al.  The effect on equilibrium trip assignment of different link congestion functions , 1981 .

[17]  Clark Jeffries,et al.  Congestion resulting from increased capacity in single-server queueing networks , 1997, TNET.

[18]  P. Pepe,et al.  State observers for nonlinear systems with output delayed information , 1999, 1999 European Control Conference (ECC).

[19]  A. Isidori.  Nonlinear Control Systems , 1985 .

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

[21]  Alfredo Germani,et al.  An asymptotic state observer for a class of nonlinear delay systems , 2001, Kybernetika.

[22]  Grenville Armitage,et al.  MPLS: the magic behind the myths , 2000 .

[23]  James B. Rawlings,et al.  Model Predictive Control , 2012 .

[24]  A. Germani,et al.  A Luenberger-like observer for nonlinear systems , 1993 .

[25]  U. Shaked,et al.  H∞ static output-feedback control of linear continuous-time systems with delay , 1998 .

[26]  Hisao Kameda,et al.  Uniqueness of the solution for optimal static routing in open BCMP queueing networks , 1995 .

[27]  Lloyd D Bennett,et al.  The existence of equivalent mathematical programs for certain mixed equilibrium traffic assignment problems , 1993 .

[28]  Stella C. Dafermos,et al.  Traffic assignment problem for a general network , 1969 .

[29]  Eduardo Fernandez-Camacho,et al.  Model Predictive Control in the Process Industry , 1995 .

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

[31]  J. Gauthier,et al.  Observability for any of a class of nonlinear systems , 1981 .

[32]  Costas Kravaris,et al.  Deadtime compensation for nonlinear processes , 1989 .

[33]  Martín Velasco-Villa,et al.  Observability and observers for nonlinear systems with time delays , 2000, Kybernetika.

[34]  U. Shaked,et al.  Bounded real criteria for linear time-delay systems , 1998, IEEE Trans. Autom. Control..