In the design of the second and third controller, we will exploit a decomposition of the control gain matrix into a symmetric positive-definite matrix, a diagonal matrix with diagonal entries +1 or −1 and a unity upper triangular matrix.
The decomposition of the control problem into smaller ones is based on Lagrangean decomposition and on price coordination methods to update the prices.
A temporal decomposition that is applied in order to efficiently accommodate the system's multiple time scales leads to further decomposition of the optimising control layer into three control sublayers: slow, medium, and fast.
In our algorithm the spatial mesh configuration can be defined in two different ways: either by an isoparametric approach that generates curved control volumes, or by a piecewise linear decomposition of each spatial control volume into simplex sub-elements.
To overcome the difficulty to directly predict the plant state, a control design is proposed relies on a decomposition of the adaptive control design procedure where a "generalized error", and auxiliary linear Smith-like dynamic units with adjustable gains are introduced.
The proposed method is applied to the decomposition of the optimal control problem involved in the nonlinear model predictive control of a reactor-separator process, and the quality of the resulting decomposition is examined by the resulting control performance and computational time.
Those processes need metallic precursors with a set of ligands that are able to provide suitable properties such as solubility or volatility, clean decomposition pathways, control of stoichiometry for multimetallic arrays, to name but a few.
Soil properties, such as clay content, are hypothesized to control decomposition of soil organic carbon (SOC).
The solidification characteristics of the γ phase from the liquid and the subsequent decomposition of the γ phase control the evolution of the microstructure in nickel base superalloy welds.
A main advantage of the proposed decomposition and control is that it allows any variation of information structure constraints of the system, especially the increase and decrease of subsystem numbers.
