Robust H∞ control of nonlinear plants based on multi-linear models: an application to a bench-scale pH neutralization reactor

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).…”

“…As far as multimodel combination is concerned, it can be classified into hard-switching methods [14,16,[23][24][25] and softswitching methods [10,17,18,22]. In hard-switching methods, each locally linear controller is designed for associated locally linear model independently and the global controller is implemented by scheduling the designed local controllers according to some rules.…”

Multilinear Model Control of Hammerstein-like Systems Based on an Included Angle Dividing Method and the MLD-MPC Strategy

“…9 And because nonlinearity is always incorporated in the original control problem, for it usually involves both the physical output and the physical input, separating the nonlinearity from the control problem therefore may lead to a decreased performance. 10 The multilinear model control approach has attracted much attention and has been studied extensively in the past years [11][12][13][14][15][16][17][18] for its potential ability to control chemical processes with highly nonlinear characteristics as a result of wide operating ranges and large set-point changes. The key concept is to represent the nonlinear system as a combination of linear systems to which classical controller design techniques can be easily applied.…”

Robust control in presence of parametric uncertainties: Observer-based feedback controller design

“…This procedure is time consuming and expensive, but is well accepted for many applications. Galan et al (2000) discussed the construction of a multi-linear model approximation for a single input single output (SISO) plant, but the question of how many models are required remains largely unanswered.…”