Multiple model bank selection based on nonlinearity measure and H-gap metric

Multilinear Model of Heat Exchanger with Hammerstein Structure

“…The multilinear model (or multimodal) control approach which has been shown to be suitable for strongly nonlinear systems with multiple operating points, tracking control, and wide operating ranges [3][4][5][6][7] has been drawing attention recently. The main idea is to present the nonlinear system as a set of linear systems where classical controller design techniques can be easily applied.…”

“…This paper gives the answer to the first question. The literature mainly uses the gap-metric based method where the minimal linear model set is determined for the given threshold value in order to span the expected operating range of a nonlinear system [4][5][6][7]. For a special class of nonlinear systems, such as nonlinear systems with Hammersteinlike structures, the authors in [8,9] used the Included Angle Dividing (IAD) method for creating a minimum set of models.…”

An integrated state space partition and optimal control method of multi-model for nonlinear systems based on hybrid systems

“…This has triggered the development of multilinear model approaches to tackle nonlinear systems problems. Multilinear model approaches turn out to be an ideal candidate for dealing with strong nonlinear chemical processes with wide operating ranges and large set-point changes, and has attracted much attention and been studied extensively in the past years (see [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] and the references therein).…”

“…When a multilinear model approach is to be used, the question of how many and which linear models and corresponding active operating range are required to cover the expected operating ranges of a nonlinear system, must be addressed in the first place. Though it remains largely unanswered [6,11], some efforts have been lit on this way. For instance, [9] uses gap metric to analyze the relationships among candidate models to get a reduced model bank.…”

An integrated state space partition and optimal control method of multi-model for nonlinear systems with state estimation

“…[9] uses gap metric to reduce submodel bank and [8] extends this idea. [11] provides a method for bank selection by a nonlinearity measure based on the higher order statistic. Unfortunately, This work is supported by National Nature Science Foundation under Grant 61273085. these methods are carried out by experience, which makes them less convincing.…”