Nash-Optimisation Enhanced Distributed Model Predictive Control

This study presents an efficient distributed model predictive con- trol scheme based on Nash optimality, in which the on-line optimisation of the whole system is decomposed into that of several small co-operative agents in distributed structures, thus it can significantly reduce computational complex- ity in model predictive control of large-scale systems. The relevant nominal stability and the performance on single-step horizon under the communication disturbance are investigated. A three input and three output linear model is simulated to test the effectiveness of the proposed control algorithm.

[1]  A. Zheng,et al.  A computationally efficient nonlinear MPC algorithm , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[2]  E. Mosca Optimal, Predictive and Adaptive Control , 1994 .

[3]  K. Warwick,et al.  Adaptive general predictive controller for nonlinear systems , 1991 .

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

[5]  Yugeng Xi New design method for discrete-time multi-variable predictive controllers , 1989 .

[6]  T. A. Badgwell,et al.  An Overview of Industrial Model Predictive Control Technology , 1997 .

[7]  J. Richalet,et al.  Industrial applications of model based predictive control , 1993, Autom..

[8]  R. Braatz,et al.  Model predictive control of large scale processes , 1998 .

[9]  Xiao-ming Xu,et al.  Decentralized predictive control (DPC) of large scale systems , 1988 .

[10]  M. R. Katebi,et al.  Predictive control design for large-scale systems , 1997, Autom..

[11]  F. Allgower,et al.  Towards a practical nonlinear predictive control algorithm with guaranteed stability for large-scale systems , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[12]  Pini Gurfil,et al.  Characterization and design of out-of-ecliptic trajectories using deterministic crowding genetic algorithms , 2002 .

[13]  Alex Zheng Reducing on-line computational demands in model predictive control by approximating QP constraints , 1999 .

[14]  Niels Kjølstad Poulsen,et al.  General predictive control using the delta operator , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[15]  Yugeng Xi,et al.  Distributed model predictive control for large-scale systems , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[16]  S. Nash A survey of truncated-Newton methods , 2000 .

[17]  JayHyung Lee,et al.  Nonlinear model predictive control of the Tennessee Eastman challenge process , 1995 .