论文信息 - On the use of gap metric for model selection in multilinear model-based control

On the use of gap metric for model selection in multilinear model-based control

One way to design the control of a nonlinear system is to use a set of linear models that are close to the nonlinear system. This gives rise to a need to define the concept of closeness. Since systems can be visualized as input-output operators, a natural distance concept would be the induced operator norm. Yet, the norm cannot be generalized as a distance measure. The aim of this paper is to discuss the application of a distance measure between systems, the gap metric, in order to select a reduced set of models that contain nonredundant process information for robust stabilization of feedback systems based on multimodel controller design.

[1] Bruce A. Francis,et al. Feedback Control Theory , 1992 .

[2] Kumpati S. Narendra,et al. Adaptation and learning using multiple models, switching, and tuning , 1995 .

[3] Jose A. Romagnoli,et al. Robust H∞ control of nonlinear plants based on multi-linear models : an application to a bench-scale pH neutralization reactor , 2000 .

[4] M. Vidyasagar. Control System Synthesis : A Factorization Approach , 1988 .

[5] Y. Arkun,et al. Estimation of nonlinear systems using linear multiple models , 1997 .

[6] T. Georgiou,et al. On the computation of the gap metric , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[7] Roderick Murray-Smith,et al. Multiple Model Approaches to Modelling and Control , 1997 .

[8] Wilson J. Rugh,et al. Analytical Framework for Gain Scheduling , 1990, 1990 American Control Conference.

[9] A. B. Poore,et al. On the dynamic behavior of continuous stirred tank reactors , 1974 .

[10] Mario Sznaier,et al. Mixed H2/H - infinity control of multimodel plants , 1995 .

[11] Tor Arne Johansen,et al. Nonlinear Predictive Control Using Local Models -Applied to a Batch Process , 1994 .

[12] A. El-Sakkary,et al. The gap metric: Robustness of stabilization of feedback systems , 1985 .